Q.

In a fuel cell, methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction isCH3OH(l)+32O2→CO2(g)+2H2O(l) At 298K, standard Gibbs energies of formation for CH3OH(l), H2O(l) and CO2(g) are –166.2, –237.2 and –394.4 KJ respectively. If standard enthalpy of combustion of methanol is –726 KJ, efficiency of the fuel cell will be

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a

80%

b

87%

c

90%

d

97%

answer is D.

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Detailed Solution

ΔGro=G(products )o-G(reactan ts)o=[2(-237.2)+(-394.4)]-[-166.2]=-702.6 kJ; =-720.6 kJ ; % Efficiencyof fuel cell =ΔGrΔHr×100=-702.6-726×100=97%
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