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Question

Chemistry Question on Gibbs Free Energy

For hydrogen-oxygen fuel cell, the cell reaction is 2H2(g)+O2(g)2H2O(I)2H_2(g)+O_2(g)\rightarrow2H_2O(I), If Gf(H2O)=237.2KJmol1\triangle{G}\degree_{f}(H_2O)=-237.2KJmol^{-1} then emf ofthis cell is

A

+ 2.46 V

B

- 2.46 V

C

+ 1.23 V

D

- 1.23 V

Answer

+ 1.23 V

Explanation

Solution

Formula for gibbs free energy= nFE-nFE
Emf=ΔGnFEmf = \frac{ΔG}{nF}
ΔG=237.2kJ/molΔG = 237.2kJ/mol
n=2n= 2
Substituting the values
Emf=237.2×10002×96500=1.23VEmf = 237.2\times \frac{1000}{2} \times 96500 =1.23V