Q.

In a fuel cell, methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is:

CH3OH(l)+32O2(g)CO2(g)+2H2O(l)

At 298 K standard Gibbs energies of formation for CH2OH(l),H2O(l) and CO2(g) are -166.2, -237 .2 and -394.4 kJ mol-1 respectively. If standard enthalpy of combustion of methanol is - 726 kJ mol-1, efficiency of the fuel cell will be :

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a

87%

b

90%

c

97%

d

80%

answer is C.

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Detailed Solution

ΔGRxn=394.4237.2×2+166.2=702.6 kJ/molη=|ΔG||ΔH|×100=702.6726×100=97%

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In a fuel cell, methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is:CH3OH(l)+32O2(g)⟶CO2(g)+2H2O(l)At 298 K standard Gibbs energies of formation for CH2OH(l),H2O(l) and CO2(g) are -166.2, -237 .2 and -394.4 kJ mol-1 respectively. If standard enthalpy of combustion of methanol is - 726 kJ mol-1, efficiency of the fuel cell will be :