NCERT Class XI Chemistry Equilibrium Solutions

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Question : 44
Total: 73
The ionization constant of phenol is 1.0 × 1010. What is the concentration of phenolate ion in 0.05 M solution of phenol? What will be its degree of ionization if the solution is also 0.01M in sodium phenolate?
Solution:  
C6H5OHC6H5O+H+
Initialconcentration0.05M00
Afterdissociation0.05xxx

∴ Ka =
x×x
0.05x
= 1.0 × 1010 (Given)
or
x2
0.05
= 1.0 × 1010 [Since 0.05 - x ≈ 0.05]
or x2 = 5 × 1012 or, x = 2.33 × 106M
In presence of 0.01 M C6H5ONa, suppose y is the amount of phenol dissociated, then at equilibrium
[C6H5OH] = 0.05 – y ≈ 0.05 M
[C6H5O] = 0.01 + y ≈ 0.01 M, [H+] = y M
Ka =
(0.01)(y)
0.05
= 1.0 × 1010 (Given) or y = 5 × 1010
∴ α =
y
C
=
5×1010
0.05
= 1 × 108
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