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Question

The pKa of acetic acid and pKb of ammonium hydroxide are 4.76 and 4.75 respectively. Calculate the pH of ammonium acetate solution.

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Solution

Given,
pKa(CH3COOH)=4.76 and pKb(NH4OH)=4.75

Step 1: Salt type
Ammonium acetate (CH3COONH4) is a salt of weak acid, acetic acid (CH3COOH) and weak base, ammonium hydroxide (NH4OH).

The reaction taking place is:
CH3COOH+NH4OHCH3COONH4+H2O

Step 2: Formula of pH
For salt of weak acid and weak base, the pH of salt in solution is given as:
pH=7+12[pKapKb]

Step 3: pH value
So,
pH=7+12[4.764.75]=7+12[0.01]=7+0.005=7.005

Final answer:
7.005

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