At 300 K . the E_ cell ^ of A ( ~s )+ B ²⁺( aq ) A ²⁺( aq )+ B ( ~s ) is 1.0 V . If _r S^ of this reaction is 100 JK ⁻¹ , what is _ r H ^ (in kJ mol ⁻¹ ) of this reaction?( F =96500 Cmol ⁻¹ )

Step-by-step solution

Given, aligned & _ r ~S ^ =100 JK ⁻¹ ~mol ⁻¹ & E _ cell ^ =1.0 ~V & n =2 & G ^ =- nFE ^ &=-2 96500 1 ~J ~mol ⁻¹ &=-193 ~kJ ~mol ⁻¹ & G ^ = H ^ - T ~S ^ & H ^ = G + T ~S &=-193+ 300 100 1000 &=-193+30 & H ^ =-163 ~kJ ~mol ⁻¹ aligned