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In a fuel celll, methanol is used as a f...

In a fuel celll, methanol is used as a fuel and `O_(2)` is used as oxidizer. The standard enthalpy of combustion of methanol is -726 kJ `mol^(-1)`. The standard free energies of formation of `CH_(3)OH(I), CO_(2)(g) and H_(2)O(I)` are -166.3, -394.4 and -237.1 kJ `mol^(-1)` respectively.
The standard free energy change of the reaction will be

A

0.8

B

0.87

C

0.97

D

0.9

Text Solution

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The correct Answer is:
C
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In a fuel cell methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is : CH_(3)OH_((l))+(3)/(2)O_(2(g))rarr CO_((g))+2H_(2)O_((l)) At 298K standard Gibb's energies of formation for CH_(3)OH(l), H_(2)O(l) and CO_(2)(g) are -166.2,-237.2 and -394.4kJ mol^(-1) respectively. If standard enthalpy of combustion of methanol is -726kJ mol^(-1) , efficiency of the fuel cell will be :