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Question

The reduction potential for Cu2+/Cu is +0.34 V. Calculate the reduction potential (in V) at pH=13 for the above couple (assume saturated solution of Cu(OH)2).
(Given: Ksp(Cu(OH)2)=1022)

A
0.5
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B
0.25
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C
0.84
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D
0.05
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Solution

The correct option is B 0.25
Given that pH=13
[H+]=1013 M[OH]=101 M
Ksp=[Cu2+][OH]2=1022[Cu2+]=1020

For the half cell reaction, Cu2++2eCu, the emf is
E =E0.0592log1[Cu2+]=0.340.0592log11020=0.340.059×10=0.340.59=0.25V

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