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In a fuel cell methanol is used as fuel ...

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_2((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 `:`

A

0.87

B

0.9

C

0.97

D

0.8

Text Solution

Verified by Experts

The correct Answer is:
C
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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