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Question: A current of 3 ampere was passed for 2 hours through a solution of \(CuSO_{4}.3g\)of\(Cu^{2 +}\) ion...

A current of 3 ampere was passed for 2 hours through a solution of CuSO4.3gCuSO_{4}.3gofCu2+Cu^{2 +} ions were discharged at cathode. The current efficiency is (At. wt. of Cu=63.5)

A

20%

B

42.2%

C

60%

D

80%

Answer

42.2%

Explanation

Solution

WCu2+=E×I×t96500W_{Cu^{2 +}} = \frac{E \times I \times t}{\text{96500}}

3=63.5×I×2×60×602×96500\mathbf{3 =}\frac{\mathbf{63.5}\mathbf{\times}\mathbf{I}\mathbf{\times}\mathbf{2}\mathbf{\times}\mathbf{60}\mathbf{\times}\mathbf{60}}{\mathbf{2}\mathbf{\times}\mathbf{96500}}

I=1.266\mathbf{I = 1.266}Ampere

Current efficiency

=Current passed actuallyTotal current passed experimentally ×100= \frac{\text{Current passed actually}}{\text{Total current passed experimentally }} \times 100 =1.2663×100=42.2%= \frac{1.266}{3} \times 100 = 42.2\%