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Question

Chemistry Question on Thermodynamics

The emf of a particular voltaic cell with the cell reaction Hg22++H22Hg+2H+Hg_{2}^{2+}+H_{2} {\rightleftharpoons} 2Hg+2H^{+} is 0.65 V. The maximum electrical work of this cell when 0.5 g of H2H_{2} is consumed.

A

3.12×104J-3.12\times10^{4} J

B

1.25×105J-1.25\times10^{5} J

C

25.0×106J25.0\times10^{6}J

D

None

Answer

3.12×104J-3.12\times10^{4} J

Explanation

Solution

Wmax=n.FE;W_{max} =-n. FE; Wmax=2×96500×0.65=1.25×105JW_{max} =-2\times96500\times0.65=-1.25\times10^{5}J 0.5gH2=0.25mole.0.5g H_{2}=0.25 mole. Hence, Wmax=1.25×105×0.25=3.12×104JW_{max}=1.25\times10^{5}\times0.25=-3.12\times10^{4}J