Solve this:

Q13. An electrochemical cell has two half cell reactions as, 

          A 2 +   +   2 e -     A   ;   E °   = 0 . 34   V X   +   X 2 +     2 e -   ;   E °   = + 2 . 37   V
   
        The cell voltage will be                   
    
      (1)2.71 V                                                            (2) 2.03 V

      (3) – 2.71 V                                                        (4) – 2.03 V

Dear student,

The oxidation reaction given above seems to be incorrect, so i am assuming  X   X2+ + 2e- in place of  X + X2+  2e-.
If you are still having any doubts about the topic then you can kindly repost your question.

Now, for calculating the cell potential/voltage we can use the relation :

           Ecello = Ereductiono + Eoxidationo          ------(1)
 
So, in this case we are provided with reduction potential of both the half reactions,
i.e.        EA2+/Ao (reduction potential of A2+) = +0.34VEX2+/Xo (reduction potential of X) = +2.37V

We know that, oxidation is reverse of reduction, so;
Eoxidationo=-EreductionoEX/X2+o=-EX2+/XoEX/X2+o=-2.37 V
Now, using equation (1);
Ecello= EA2+/Ao + EX/X2+oEcell o = +0.34V + (-2.37V)Ecello = -2.03V

Therefore, option (4) is correct.
 
Hope this information will clear your doubts about the topic.

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