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Question

The equivalent conductance of CH3COONa, HCl and NaCl at infinite dilution are 91,426 and 126 S cm3 eq1 respectively at 25oC. The equivalent conductance of 1 M CH3COOH solution is 19.55 S cm2 eq1. The pH of the solution is:

A
5.3
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B
4.3
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C
2.3
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D
1.3
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Solution

The correct option is D 1.3

λoCH3COONa=λoCH3COO+λoNa=91 Scm2eq1.....(i)

λoHCl=λoH+λoCl=426 Scm2eq1.....(ii)

λoNaCl=λoNa+λoCl=126 Scm2eq1.....(iii)

λoCH3COOH=λoCH3COO+λoH+=(i)+(ii)(iii)=391 Scm2eq1

λCH3COOH=19.5 Scm2eq1 (given)

Degree of dissociation =λmλom=19.55391=0.05

CH3COOHCH3COO+H+

1(10.05) 0.05 0.05

[H+]=0.05 M

pH=log[H+]=1.3


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