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Question: \(Eº_{cell}\) for the half cell reactions are given below: \[Cu^{2 +} + e^{-} \rightarrow Cu^{+};Eº...

EºcellEº_{cell} for the half cell reactions are given below:

Cu2++eCu+;Eº=0.15VCu^{2 +} + e^{-} \rightarrow Cu^{+};Eº = 0.15V

Cu2++2eCu;Eº=0.34VCu^{2 +} + 2e^{-} \rightarrow Cu;Eº = 0.34V

What will be the Eº of the half cell :

Cu++eCu?Cu^{+} + e^{-} \rightarrow Cu?

A

+0.49V+ 0.49V

B

+0.19V+ 0.19V

C

+0.53V+ 0.53V

D

+0.30V+ 0.30V

Answer

+0.53V+ 0.53V

Explanation

Solution

Cu2++eCu+;Eº1=0.15V,ΔGº1,n1=1Cu^{2 +} + e^{-} \rightarrow Cu^{+};Eº_{1} = 0.15V,\Delta Gº_{1},n_{1} = 1

Cu2++2eCu;Eº2=0.34V,ΔGº2,n2=2Cu^{2 +} + 2e^{-} \rightarrow Cu;Eº_{2} = 0.34V,\Delta Gº_{2},n_{2} = 2

Cu++eCu;Eº3=?,ΔGº3,n3=1Cu^{+} + e^{-} \rightarrow Cu;Eº_{3} = ?,\Delta Gº_{3},n_{3} = 1

ΔGº3=ΔGº2ΔGº1\Delta Gº_{3} = \Delta Gº_{2} - \Delta Gº_{1}

n3FEº3=n2FEº2+n1FEº1- n_{3}FEº_{3} = - n_{2}FEº_{2} + n_{1}FEº_{1}

Eº3=2×0.34+1×0.15- Eº_{3} = - 2 \times 0.34 + 1 \times 0.15

Eº3=0.680.15=+0.53VEº_{3} = 0.68 - 0.15 = + 0.53V