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

Step-by-step solution

For given reaction H 2 g + 1 2 O 2 g ⟶ 2 e - H 2 O l E ° = 1 . 23   V ΔG ° = - nFE cell  ° = [ - 2 × 96500 × 1 . 23 ]   1 × 10 - 3 × 0 . 7 = - 166 . 173   J W = 166 . 173   J W = nRΔT γ - 1 166 . 173 = 1 × 8 . 314 × ΔT 5 3 - 1 = 8 . 314 × 3 2 ΔT ΔT = 166 . 173 × 2 8 . 314 × 3 = 13 . 32