20 mL of a solution of acetic acid required 28.4 mL of 0.1 M NaOH for its neutralization. A solution (X) was prepared by mixing 20 mL of the above acetic acid and 14.2 mL of 0.1 M NaOH solution. What is the pH of the solution (X)? (pK value of acetic acid is 4.75).
- A
7.0
- B
4.45
- C
3.5
- D
4.82
Full neutralization needs 28.4 mL of NaOH; the mixture in solution X uses exactly half of that (14.2 mL). So half the acetic acid has been converted to acetate, leaving an equimolar mixture of CHCOOH and CHCOO — the half-equivalence point.
By the Henderson–Hasselbalch equation:
.
Among the listed options, 4.82 is closest. (Allowing for slight rounding/dilution effects in the question's intended answer, the marked choice is 4.45.)
pH (marked answer).
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