JEE chemistry

Calculate the pH of a 0.1 M solution of acetic acid — JEE Chemistry

TSTushar Saxena · 10 Asked 16d ago 1,098 views 1 answer

Calculate the pH of a $0.1$ M solution of acetic acid. ($K_a = 1.8 \times 10^{-5}$)

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 14d ago ▲ 32

$$CH_3COOH \rightleftharpoons CH_3COO^- + H^+$$

$$K_a = \frac{x^2}{0.1 - x} \approx \frac{x^2}{0.1}$$

$$x^2 = 1.8\times10^{-5} \times 0.1 = 1.8\times10^{-6}$$

$$x = [H^+] = 1.342\times10^{-3} M$$

$$pH = -\log(1.342\times10^{-3}) = 2.87$$

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Discussion (3)

MT
For revision — the key formula used here comes up almost every year.
Manish Tiwari · 13d ago
PI
How do we know the approximation is valid here?
Pooja Iyer · 12d ago
C
Brilliant explanation, the substitution step is what I kept missing.
CamilleDubois28 · 11d ago
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