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Question

8g of NaOH was dissolved in 1 L of a solution containing one mole of acetic acid CH3COOH and one mole of sodium acetate CH3COONa. Find the pH of the resulting solution.
The dissociation constant for CH3COOH is 1.8×105.

A
6.88
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B
4.92
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C
3.68
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D
5.76
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Solution

The correct option is B 4.92
Concentration of NaOH=840=0.2 mol L1
CH3COOH(aq)+NaOH(aq)CH3COONa(aq)+H2O(l)Initial: 1 0.2 1 0Equilibrium:(10.2) 0 1+0.2 0.2
pKa=log(Ka)pKa=log(1.8×105)pKa=(50.26)=4.74

[CH3COOH]eqb=0.8 M[CH3COONa]eqb.=1.2 MpH=pKa+log[salt][acid]pH=pKa+log([CH3COONa][CH3COOH])pH=4.74+log(1.20.8)pH=4.74+log(1.5)=(4.74+0.18)pH=4.92

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