Question
Consider a 70 % efficient hydrogen-oxygen fuel cell working under standard conditions at 1 bar and 298   K . Its cell reaction is H 2 ( g ) + 1 2 O 2 ( g ) → H 2 O ( l ) The work derived from the cell on the consumption of 1 . 0 × 10 - 3   mol of H 2 ( 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. O 2 ( g ) + 4 H + ( aq ) + 4 e - → 2 H 2 O ( l ) ,    E 0 = 1 . 23   V , 2 H + ( aq ) + 2 e - → H 2 ( g ) ,    E 0 = 0 . 00   V Use F = 96500   C   mol - 1 , R = 8 . 314   J   mol - 1 K - 1 .