The concentration of hydrogen ion is a measure of acidity or alkalinity of a solution…

Chemistry · JEE Advanced · NTA ExamsEquilibrium


The concentration of hydrogen ion is a measure of acidity or alkalinity of a solution.
For mono basic acids :
\(\mathrm{CH}_{3} \mathrm{COOH} \rightleftharpoons \mathrm{CH}_{3} \mathrm{COO}^{-}+\mathrm{H}^{+}\) 
\(\alpha=\sqrt{\frac{K_{a}}{C}}\) 
where, Ka = Dissociation constant of acid
C = molarity of acid
\(\left[\mathrm{H}^{+}\right]=\mathrm{C} \alpha,\left[\mathrm{H}^{+}\right]=\frac{\mathrm{K}_{\mathrm{a}}}{\alpha},\) \(\left[\mathrm{H}^{+}\right]=\sqrt{\mathrm{CK}_{\mathrm{a}}}\) 
pH of a weak acid can be calculated using [H+] by any of above methods.
\(\left[\mathrm{H}^{+}\right]_{\text {Total }}=\sqrt{\mathrm{C}_{1} \mathrm{~K}_{\mathrm{a}_{1}}+\mathrm{C}_{2} \mathrm{~K}_{\mathrm{a}_{2}}}\) (When two weak acids are mixed)
[H+] of polyprotic acid (weak, H3A) (has dissociation constants \(\mathrm{K}_{\mathrm{a}_{1}} \gg \mathrm{~K}_{\mathrm{a}_{2}} \gg \mathrm{~K}_{\mathrm{a}_{3}}\)); will be contributed by first dissociation at the most.
 
What will be the value of [H+] of 10–6 M CH3COOH ?
(Ka = 1.8 × 10–5)
  1. 4.24 × 10–6 M
  2. 10–6 M
  3. 9.5 × 10–7 M
  4. 10–8 M

Answer

(A) 4.24 × 10 –6 M

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