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Electrochemistry

Question
CBSEENCH12011427

In the electrochemical cell :
Zn|ZnSO4(0.01M)||CuSO4(1.0 M)|Cu, the emf of this Daniel cell is E1. When the concentration of ZnSO4 is changed to 1.0 M and that of CuSO4 changed to 0.01 M, the emf changes to E2. From the following, which one is the relationship between E1 and E2?
(Given, RT/F= 0.059)

  • E1= E2

  • E1< E2

  • E1> E2

  • E2= 0 ≠ E1

Solution

C.

E1> E2

Zn|ZnSO4(0.01 M)||CuSO4(1.0 M)|Cu
therefore space straight E subscript 1 space equals space straight E subscript cell superscript 0 minus fraction numerator 2.303 space RT over denominator 2 space straight x space straight F end fraction space straight x space log space fraction numerator left parenthesis 0.01 right parenthesis over denominator 1 end fraction
when space concentrations space are space changed
therefore space straight E subscript 2 space equals space straight E subscript cell superscript 0 space minus space fraction numerator 2.303 over denominator 2 straight F end fraction space straight x space log space fraction numerator 1 over denominator 0.01 end fraction
space straight i. straight e. comma space straight E subscript 1 space greater than space straight E subscript 2