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Question

Chemistry Question on Electrochemistry

The e.m.f. of a cell, whose half-cells are given below, is: Mg2++2eMg(s);M{{g}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Mg(s); E=2.37VE{}^\circ =-\,2.37\,\,V Cu2++2eCu(s);C{{u}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Cu(s); E=+0.34VE{}^\circ =+\,0.34\,\,V

A

+1.36V+1.36\,\,V

B

+2.71V+\,2.71\,V

C

2.03V-\,2.03\,\,V

D

2.71V-\,2.71\,\,V

Answer

+2.71V+\,2.71\,V

Explanation

Solution

In the cell Mg will act as anode while Cu will act as cathode as the reduction potential of Mg is less Hence, Ecello=EcathodeoEanodeoE_{cell}^{\text{o}}=E_{cathode}^{\text{o}}-E_{anode}^{\text{o}} =(0.34)(2.37)=\left( 0.34 \right)-\left( -\,2.37 \right) =0.34+2.37=2.71V=0.34+2.37=2.71\,\,V