AIIMS2019Chemistry-Acids and Bases

AIIMS 2019 Chemistry Salt hydrolysis MCQ Question

Type: MCQ-numerical-Medium-Class 11

pH of a salt solution of weak acid (pKa=4\text{pK}_\text{a} = 4) and weak base (pKb=5\text{pK}_\text{b} = 5) at 25°C is:

A

6.5

B

6

C

7

D

7.5

Correct Answer

Option A

Detailed Explanation

The calculation of pH using the formula pH=12(pKa+pKb+pKw)\text{pH} = \frac{1}{2} (\text{p}K_a + \text{p}K_b + \text{p}K_w) is valid for a salt formed from a weak acid and a weak base, where pKw\text{p}K_w is the ion product of water (14 at 25°C). In this case, substituting the values pKa=4\text{p}K_a = 4, pKb=5\text{p}K_b = 5, and pKw=14\text{p}K_w = 14 yields a pH of 6.5, indicating a neutral solution. Since all other options are marked as N/A, they do not provide relevant alternatives or correct answers.

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