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Question: If pkb is 9.7 calculate pH of 0.1 M NH4Cl solution...

If pkb is 9.7 calculate pH of 0.1 M NH4Cl solution

A

2.65

B

8.65

C

5.15

D

8.15

Answer

2.65

Explanation

Solution

NH4Cl is a salt of a weak base (NH3) and a strong acid (HCl). The NH4+ ion hydrolyzes, making the solution acidic. The pH can be calculated using the formula for the hydrolysis of a salt of a weak base and strong acid: pH=712(pKb+logC)pH = 7 - \frac{1}{2}(pK_b + \log C) Given pKb=9.7pK_b = 9.7 and C=0.1C = 0.1 M: pH=712(9.7+log(0.1))pH = 7 - \frac{1}{2}(9.7 + \log(0.1)) pH=712(9.71)pH = 7 - \frac{1}{2}(9.7 - 1) pH=712(8.7)pH = 7 - \frac{1}{2}(8.7) pH=74.35pH = 7 - 4.35 pH=2.65pH = 2.65