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Question

Question: Calculate the emf of the following cell at \(25^{o}C\). \(Ag(s)|AgNO_{3}(0.01molkg^{- 1})||AgNO_{3}(...

Calculate the emf of the following cell at 25oC25^{o}C. Ag(s)AgNO3(0.01molkg1)AgNO3(0.05molkg1)Ag(s)Ag(s)|AgNO_{3}(0.01molkg^{- 1})||AgNO_{3}(0.05molkg^{- 1})|Ag(s)

A

– 0.414 V

B

– 0.828 V

C

– 0.414 V

D

– 0.0414 V

Answer

– 0.0414 V

Explanation

Solution

It is a concentration cell. The emf of a concentration cell is

Ecell=+0.0592nlogC1C2E_{\text{cell}} = + \frac{0.0592}{n}\log\frac{C_{1}}{C_{2}} at 25o C and n = 1

=+0.0592log0.010.05=0.0591log0.2=0.0591×(0.699)=0.0414= + 0.0592\log\frac{0.01}{0.05} = 0.0591\log 0.2 = 0.0591 \times ( - 0.699) = - 0.0414V