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If 100 mole of H(2)O(2) decompose at 1 b...

If 100 mole of `H_(2)O_(2)` decompose at 1 bar and 300 K, the work done (kJ) by one mole of `O_(2)(g)` as it expands against 1 bar pressure is
`2H_(2)O_(2) (l) overset(rarr)(larr) 2H_(2)O(l)+O_(2) (g)`
`(R=8.3 JK^(-1) mol^(-1))`

A

124.5

B

249

C

498

D

62.25

Text Solution

Verified by Experts

The correct Answer is:
A
`2H_(2)O_(2)(1)hArr2H_(2)O(1)+O_(2)(g)`
`W=-P_("ext")(DeltaV)=-(n_(O_(2)))RT`
`:.` 100 mole `H_(2)O_(2)` on decomposition gives 50 mol `O_(2)`.
`:. W=-(50)(8.3)(300)=-124500J=-124.5kJ`
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