AI Summary of "Menghitung pH Asam Basa : Asam Kuat, Asam Lemah, Basa Kuat, Basa Lemah"
<p class="mb-4"><strong class="section-heading text-xl font-bold mb-4 inline-block">Fundamentals of pH Calculation</strong><br/>๐ pH is a scale indicating the acidity or basicity of a solution: <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pH</mtext><mo><</mo><mn>7</mn></mrow><annotation encoding="application/x-tex">\text{pH} < 7</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel"><</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">7</span></span></span></span> is acidic, <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pH</mtext><mo>></mo><mn>7</mn></mrow><annotation encoding="application/x-tex">\text{pH} > 7</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">></span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">7</span></span></span></span> is basic, and <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pH</mtext><mo>=</mo><mn>7</mn></mrow><annotation encoding="application/x-tex">\text{pH} = 7</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">7</span></span></span></span> is neutral.<br/>๐งช The basic formula for pH is <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pH</mtext><mo>=</mo><mo>โ</mo><mi>log</mi><mo>โก</mo><mo stretchy="false">[</mo><msup><mtext>H</mtext><mo>+</mo></msup><mo stretchy="false">]</mo></mrow><annotation encoding="application/x-tex">\text{pH} = -\log[\text{H}^+]</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.0946em;vertical-align:-0.25em;"></span><span class="mord">โ</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mop">lo<span style="margin-right:0.01389em;">g</span></span><span class="mopen">[</span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">+</span></span></span></span></span></span></span></span><span class="mclose">]</span></span></span></span>, which applies only to acids as they contain <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mtext>H</mtext><mo>+</mo></msup></mrow><annotation encoding="application/x-tex">\text{H}^+</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8446em;"></span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">+</span></span></span></span></span></span></span></span></span></span></span> ions.<br/>๐ง For bases, <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pOH</mtext><mo>=</mo><mo>โ</mo><mi>log</mi><mo>โก</mo><mo stretchy="false">[</mo><msup><mtext>OH</mtext><mo>โ</mo></msup><mo stretchy="false">]</mo></mrow><annotation encoding="application/x-tex">\text{pOH} = -\log[\text{OH}^-]</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pOH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.0946em;vertical-align:-0.25em;"></span><span class="mord">โ</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mop">lo<span style="margin-right:0.01389em;">g</span></span><span class="mopen">[</span><span class="mord"><span class="mord text"><span class="mord">OH</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">โ</span></span></span></span></span></span></span></span><span class="mclose">]</span></span></span></span> is calculated first, and then converted to pH using the relationship <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pH</mtext><mo>=</mo><mn>14</mn><mo>โ</mo><mtext>pOH</mtext></mrow><annotation encoding="application/x-tex">\text{pH} = 14 - \text{pOH}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7278em;vertical-align:-0.0833em;"></span><span class="mord">14</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">โ</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pOH</span></span></span></span></span>, derived from <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>pK</mtext><mtext>w</mtext></msub><mo>=</mo><mn>14</mn></mrow><annotation encoding="application/x-tex">\text{pK}_{\text{w}} = 14</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.9275em;vertical-align:-0.2441em;"></span><span class="mord"><span class="mord text"><span class="mord">pK</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.0573em;"><span style="top:-2.4559em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">w</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.2441em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">14</span></span></span></span> (since <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>K</mtext><mtext>w</mtext></msub><mo>=</mo><msup><mn>10</mn><mrow><mo>โ</mo><mn>14</mn></mrow></msup></mrow><annotation encoding="application/x-tex">\text{K}_{\text{w}} = 10^{-14}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord text"><span class="mord">K</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">w</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8141em;"></span><span class="mord">1</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">โ</span><span class="mord mtight">14</span></span></span></span></span></span></span></span></span></span></span></span>).</p>
<p class="mb-4"><strong class="section-heading text-xl font-bold mb-4 inline-block">Calculating pH for Strong Acids</strong><br/>๐ช Strong acids dissociate <span class="yellow-highlight font-semibold">completely</span> in solution, meaning <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">[</mo><msup><mtext>H</mtext><mo>+</mo></msup><mo stretchy="false">]</mo></mrow><annotation encoding="application/x-tex">[\text{H}^+]</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.0946em;vertical-align:-0.25em;"></span><span class="mopen">[</span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">+</span></span></span></span></span></span></span></span><span class="mclose">]</span></span></span></span> concentration is directly related to the acid's molarity.<br/>๐ฌ For a strong acid like <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>H</mtext><mn>2</mn></msub><msub><mtext>SO</mtext><mn>4</mn></msub></mrow><annotation encoding="application/x-tex">\text{H}_2\text{SO}_4</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord"><span class="mord text"><span class="mord">SO</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">4</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span>, the concentration of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mtext>H</mtext><mo>+</mo></msup></mrow><annotation encoding="application/x-tex">\text{H}^+</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8446em;"></span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">+</span></span></span></span></span></span></span></span></span></span></span> is calculated by multiplying the acid's molarity by its <span class="yellow-highlight font-semibold">acid valence</span> (the number of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mtext>H</mtext><mo>+</mo></msup></mrow><annotation encoding="application/x-tex">\text{H}^+</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8446em;"></span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">+</span></span></span></span></span></span></span></span></span></span></span> ions released), e.g., <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">[</mo><msup><mtext>H</mtext><mo>+</mo></msup><mo stretchy="false">]</mo><mo>=</mo><mn>2</mn><mo>ร</mo><mo stretchy="false">[</mo><msub><mtext>H</mtext><mn>2</mn></msub><msub><mtext>SO</mtext><mn>4</mn></msub><msub><mo stretchy="false">]</mo><mtext>M</mtext></msub></mrow><annotation encoding="application/x-tex">[\text{H}^+] = 2 \times [\text{H}_2\text{SO}_4]_{\text{M}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.0946em;vertical-align:-0.25em;"></span><span class="mopen">[</span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">+</span></span></span></span></span></span></span></span><span class="mclose">]</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7278em;vertical-align:-0.0833em;"></span><span class="mord">2</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">ร</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mopen">[</span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord"><span class="mord text"><span class="mord">SO</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">4</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mclose"><span class="mclose">]</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3283em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">M</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span>.<br/>๐ For <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>0.1</mn><mtext>ย Mย </mtext><msub><mtext>H</mtext><mn>2</mn></msub><msub><mtext>SO</mtext><mn>4</mn></msub></mrow><annotation encoding="application/x-tex">0.1\text{ M } \text{H}_2\text{SO}_4</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord">0.1</span><span class="mord text"><span class="mord">ย Mย </span></span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord"><span class="mord text"><span class="mord">SO</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">4</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> (valence 2), <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">[</mo><msup><mtext>H</mtext><mo>+</mo></msup><mo stretchy="false">]</mo><mo>=</mo><mn>0.2</mn><mtext>ย M</mtext></mrow><annotation encoding="application/x-tex">[\text{H}^+] = 0.2\text{ M}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.0946em;vertical-align:-0.25em;"></span><span class="mopen">[</span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">+</span></span></span></span></span></span></span></span><span class="mclose">]</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord">0.2</span><span class="mord text"><span class="mord">ย M</span></span></span></span></span>, resulting in <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pH</mtext><mo>=</mo><mo>โ</mo><mi>log</mi><mo>โก</mo><mo stretchy="false">(</mo><mn>0.2</mn><mo stretchy="false">)</mo><mo>โ</mo><mn>0.7</mn></mrow><annotation encoding="application/x-tex">\text{pH} = -\log(0.2) \approx 0.7</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">โ</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mop">lo<span style="margin-right:0.01389em;">g</span></span><span class="mopen">(</span><span class="mord">0.2</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">โ</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">0.7</span></span></span></span>, which is more acidic than <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>0.1</mn><mtext>ย Mย HCl</mtext></mrow><annotation encoding="application/x-tex">0.1\text{ M } \text{HCl}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord">0.1</span><span class="mord text"><span class="mord">ย Mย </span></span><span class="mord text"><span class="mord">HCl</span></span></span></span></span> (<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pH</mtext><mo>=</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">\text{pH}=1</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">1</span></span></span></span>).</p>
<p class="mb-4"><strong class="section-heading text-xl font-bold mb-4 inline-block">Calculating pH for Weak Acids and Bases</strong><br/>๐ Weak acids and bases <span class="yellow-highlight font-semibold">partially dissociate</span> in solution, requiring equilibrium constants for calculation.<br/>๐งช For a weak acid, <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">[</mo><msup><mtext>H</mtext><mo>+</mo></msup><mo stretchy="false">]</mo><mo>=</mo><msqrt><mrow><msub><mtext>K</mtext><mtext>a</mtext></msub><mo>ร</mo><msub><mtext>M</mtext><mtext>acid</mtext></msub></mrow></msqrt></mrow><annotation encoding="application/x-tex">[\text{H}^+] = \sqrt{\text{K}_{\text{a}} \times \text{M}_{\text{acid}}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.0946em;vertical-align:-0.25em;"></span><span class="mopen">[</span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">+</span></span></span></span></span></span></span></span><span class="mclose">]</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.04em;vertical-align:-0.1883em;"></span><span class="mord sqrt"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8517em;"><span class="svg-align" style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord"><span class="mord text"><span class="mord">K</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">a</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">ร</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord"><span class="mord text"><span class="mord">M</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3361em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">acid</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span><span style="top:-2.8117em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702<br/>c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14<br/>c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54<br/>c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10<br/>s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429<br/>c69,-144,104.5,-217.7,106.5,-221<br/>l0 -0<br/>c5.3,-9.3,12,-14,20,-14<br/>H400000v40H845.2724<br/>s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7<br/>c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z<br/>M834 80h400000v40h-400000z"/></svg></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.1883em;"><span></span></span></span></span></span></span></span></span>, where <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>K</mtext><mtext>a</mtext></msub></mrow><annotation encoding="application/x-tex">\text{K}_{\text{a}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord text"><span class="mord">K</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">a</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> is the acid dissociation constant. For <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>0.1</mn><mtext>ย Mย </mtext></mrow><annotation encoding="application/x-tex">0.1\text{ M }</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord">0.1</span><span class="mord text"><span class="mord">ย Mย </span></span></span></span></span> acetic acid (<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>CH</mtext><mn>3</mn></msub><mtext>COOH</mtext></mrow><annotation encoding="application/x-tex">\text{CH}_3\text{COOH}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord text"><span class="mord">CH</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord text"><span class="mord">COOH</span></span></span></span></span>) with <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>K</mtext><mtext>a</mtext></msub><mo>=</mo><msup><mn>10</mn><mrow><mo>โ</mo><mn>5</mn></mrow></msup></mrow><annotation encoding="application/x-tex">\text{K}_{\text{a}} = 10^{-5}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord text"><span class="mord">K</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">a</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8141em;"></span><span class="mord">1</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">โ</span><span class="mord mtight">5</span></span></span></span></span></span></span></span></span></span></span></span>, the <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pH</mtext></mrow><annotation encoding="application/x-tex">\text{pH}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pH</span></span></span></span></span> is $3$.<br/>โ๏ธ For a weak base, <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">[</mo><msup><mtext>OH</mtext><mo>โ</mo></msup><mo stretchy="false">]</mo><mo>=</mo><msqrt><mrow><msub><mtext>K</mtext><mtext>b</mtext></msub><mo>ร</mo><msub><mtext>M</mtext><mtext>base</mtext></msub></mrow></msqrt></mrow><annotation encoding="application/x-tex">[\text{OH}^-] = \sqrt{\text{K}_{\text{b}} \times \text{M}_{\text{base}}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.0946em;vertical-align:-0.25em;"></span><span class="mopen">[</span><span class="mord"><span class="mord text"><span class="mord">OH</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">โ</span></span></span></span></span></span></span></span><span class="mclose">]</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1.04em;vertical-align:-0.1883em;"></span><span class="mord sqrt"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8517em;"><span class="svg-align" style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord"><span class="mord text"><span class="mord">K</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3361em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">b</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">ร</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord"><span class="mord text"><span class="mord">M</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3361em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">base</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span><span style="top:-2.8117em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg xmlns="http://www.w3.org/2000/svg" width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702<br/>c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14<br/>c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54<br/>c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10<br/>s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429<br/>c69,-144,104.5,-217.7,106.5,-221<br/>l0 -0<br/>c5.3,-9.3,12,-14,20,-14<br/>H400000v40H845.2724<br/>s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7<br/>c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z<br/>M834 80h400000v40h-400000z"/></svg></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.1883em;"><span></span></span></span></span></span></span></span></span>, where <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>K</mtext><mtext>b</mtext></msub></mrow><annotation encoding="application/x-tex">\text{K}_{\text{b}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord text"><span class="mord">K</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3361em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">b</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> is the base dissociation constant. For <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>0.1</mn><mtext>ย Mย </mtext><msub><mtext>NH</mtext><mn>4</mn></msub><mtext>OH</mtext></mrow><annotation encoding="application/x-tex">0.1\text{ M } \text{NH}_4\text{OH}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord">0.1</span><span class="mord text"><span class="mord">ย Mย </span></span><span class="mord"><span class="mord text"><span class="mord">NH</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">4</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord text"><span class="mord">OH</span></span></span></span></span> with <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>K</mtext><mtext>b</mtext></msub><mo>=</mo><msup><mn>10</mn><mrow><mo>โ</mo><mn>5</mn></mrow></msup></mrow><annotation encoding="application/x-tex">\text{K}_{\text{b}} = 10^{-5}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord text"><span class="mord">K</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3361em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">b</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.8141em;"></span><span class="mord">1</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">โ</span><span class="mord mtight">5</span></span></span></span></span></span></span></span></span></span></span></span>, <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pOH</mtext><mo>=</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">\text{pOH}=3</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pOH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">3</span></span></span></span>, resulting in <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pH</mtext><mo>=</mo><mn>14</mn><mo>โ</mo><mn>3</mn><mo>=</mo><mn>11</mn></mrow><annotation encoding="application/x-tex">\text{pH} = 14 - 3 = 11</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.7278em;vertical-align:-0.0833em;"></span><span class="mord">14</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">โ</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">3</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">11</span></span></span></span>.</p>
<p class="mb-4"><strong class="section-heading text-xl font-bold mb-4 inline-block">Comparison of Acid/Base Strengths (at 0.1 M Concentration)</strong><br/>๐ Comparing various <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>0.1</mn><mtext>ย M</mtext></mrow><annotation encoding="application/x-tex">0.1\text{ M}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord">0.1</span><span class="mord text"><span class="mord">ย M</span></span></span></span></span> solutions demonstrates the impact of strength: <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>H</mtext><mn>2</mn></msub><msub><mtext>SO</mtext><mn>4</mn></msub><mo stretchy="false">(</mo><mtext>pH</mtext><mo>=</mo><mn>0.7</mn><mo stretchy="false">)</mo><mo><</mo><mtext>HCl</mtext><mo stretchy="false">(</mo><mtext>pH</mtext><mo>=</mo><mn>1</mn><mo stretchy="false">)</mo><mo><</mo><msub><mtext>CH</mtext><mn>3</mn></msub><mtext>COOH</mtext><mo stretchy="false">(</mo><mtext>pH</mtext><mo>=</mo><mn>3</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\text{H}_2\text{SO}_4 (\text{pH}=0.7) < \text{HCl} (\text{pH}=1) < \text{CH}_3\text{COOH} (\text{pH}=3)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord"><span class="mord text"><span class="mord">SO</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">4</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mopen">(</span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">0.7</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel"><</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">HCl</span></span><span class="mopen">(</span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">1</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel"><</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord"><span class="mord text"><span class="mord">CH</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord text"><span class="mord">COOH</span></span><span class="mopen">(</span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">3</span><span class="mclose">)</span></span></span></span> are increasingly weaker acids.<br/>๐ Conversely, bases show <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>NH</mtext><mn>4</mn></msub><mtext>OH</mtext><mo stretchy="false">(</mo><mtext>pH</mtext><mo>=</mo><mn>11</mn><mo stretchy="false">)</mo><mo><</mo><mtext>NaOH</mtext><mo stretchy="false">(</mo><mtext>pH</mtext><mo>=</mo><mn>13</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\text{NH}_4\text{OH} (\text{pH}=11) < \text{NaOH} (\text{pH}=13)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord"><span class="mord text"><span class="mord">NH</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">4</span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord text"><span class="mord">OH</span></span><span class="mopen">(</span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">11</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel"><</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord text"><span class="mord">NaOH</span></span><span class="mopen">(</span><span class="mord text"><span class="mord">pH</span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">13</span><span class="mclose">)</span></span></span></span> indicating <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>NaOH</mtext></mrow><annotation encoding="application/x-tex">\text{NaOH}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord text"><span class="mord">NaOH</span></span></span></span></span> is the stronger base.<br/>โญ A <span class="yellow-highlight font-semibold">lower pH</span> signifies a <span class="yellow-highlight font-semibold">stronger acid</span>, while a <span class="yellow-highlight font-semibold">higher pH</span> signifies a <span class="yellow-highlight font-semibold">stronger base</span>.</p>
<p class="mb-4"><strong class="section-heading text-xl font-bold mb-4 inline-block">Key Points & Insights</strong><br/>โก๏ธ Remember that <span class="yellow-highlight font-semibold">strong acids/bases dissociate completely</span> (one-way arrow), while <span class="yellow-highlight font-semibold">weak acids/bases dissociate partially</span> (equilibrium/reversible arrow).<br/>โก๏ธ Utilize the <span class="yellow-highlight font-semibold">acid valence</span> (number of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mtext>H</mtext><mo>+</mo></msup></mrow><annotation encoding="application/x-tex">\text{H}^+</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8446em;"></span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">+</span></span></span></span></span></span></span></span></span></span></span> released) for calculating <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">[</mo><msup><mtext>H</mtext><mo>+</mo></msup><mo stretchy="false">]</mo></mrow><annotation encoding="application/x-tex">[\text{H}^+]</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.0946em;vertical-align:-0.25em;"></span><span class="mopen">[</span><span class="mord"><span class="mord text"><span class="mord">H</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8446em;"><span style="top:-3.1362em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">+</span></span></span></span></span></span></span></span><span class="mclose">]</span></span></span></span> in strong acids, which is crucial for accurate <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>pH</mtext></mrow><annotation encoding="application/x-tex">\text{pH}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8778em;vertical-align:-0.1944em;"></span><span class="mord text"><span class="mord">pH</span></span></span></span></span> determination.<br/>โก๏ธ For weak solutions, the calculation involves the <span class="yellow-highlight font-semibold">square root of the concentration product</span> with their respective equilibrium constants (<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>K</mtext><mtext>a</mtext></msub></mrow><annotation encoding="application/x-tex">\text{K}_{\text{a}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord text"><span class="mord">K</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">a</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> or <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mtext>K</mtext><mtext>b</mtext></msub></mrow><annotation encoding="application/x-tex">\text{K}_{\text{b}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord text"><span class="mord">K</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3361em;"><span style="top:-2.55em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">b</span></span></span></span></span></span><span class="vlist-s">โ</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span>).</p>
<p class="mb-4">๐ธ Video summarized with <a href='https://summarytube.com'>SummaryTube.com</a> on Jan 28, 2026, 15:37 UTC</p>