Electrochemistry

Consider a 70% efficient hydrogen-oxygen fuel cell working under standard conditions at 1 bar and 298K. Its cell reaction is
H2(g)+

1

2

O2(g) →H2O(l)
The work derived from the cell on the consumption of 1.0×10−3‌mol of H2 (g) is used to compress 1.00 mol of a monoatomic ideal gas in a thermally insulated container. What is the change in the temperature (in K ) of the ideal gas?

The standard reduction potentials for the two half-cells are given below.

O2(g)+4H+(aq)+4e− →2H2O(I),E°=1.23V
2H+(aq)+2e− →H2(g),E°=0.00V
Use F=96500Cmol−1, R=8.314Jmol−1K−1