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12/10/2021 10:47 am
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At a certain temperature, the dissociation constants of formic acid and acetic acids are 1.8 × 10–4 and 1.8 × 10–6 respectively. The concentration of acetic acid solution in which the hydrogen ion has the same concentration as in 0.001 M formic acid solution is equal to
(a) 0.001 M
(b) 0.01 M
(c) 0.1 M
(d) 0.0001 M
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12/10/2021 10:51 am
Correct answer: (b) 0.01 M
Explanation:
[H+] = \(\sqrt{C \times K_a}\)
= \(\sqrt{0.001 \times 1.8 \times 10^{-4}}\) for formic acid
[H+] = \(\sqrt{C_2 \times 1.8 \times 10^{-5}}\) for acetic acid
Equating and solving, C2 = 0.01 M