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Electrochemistry question

2020 · Shift 1 · Q15

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JEE Advanced
Chemistry
Electrochemistry
2020 · Shift 1 · Q15

Electrochemistry question

2020 · Shift 1 · Q15

JEE AdvancedChemistryElectrochemistryNumerical+4 / −1

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 \over 2}{O_2}(g)\xrightarrow{} {H_2}O(l)

The work derived from the cell on the consumption of 1.0

\times

10

-

3 mole of

H_2

(g) is used to compress 1.00 mole 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^ - }\xrightarrow{} 2{H_2}O(l),

{E^o} = 1.23V2{H^ + }(aq) + 2{e^ - }\xrightarrow{} {H_2}(g),{E^o} = 0.00\,V

Use,

F = 96500\,C\,mo{l^{ - 1}}

,

R = 8.314\,J\,mo{l^{ - 1}}\,{K^{ - 1}}

.

Numerical answer

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