JEE MAIN - Chemistry (2016 - 10th April Morning Slot - No. 16)
If 100 mole of H2O2 decompose at 1 bar and 300 K, the work done (kJ) by one mole of O2(g) as it expands against 1 bar pressure is :
2H2O2(l) $$\rightleftharpoons$$ 2H2O(l) + O2(g)
(R = 8.3 J K $$-$$1 mol$$-$$1)
2H2O2(l) $$\rightleftharpoons$$ 2H2O(l) + O2(g)
(R = 8.3 J K $$-$$1 mol$$-$$1)
62.25
124.50
249.00
498.00
Explanation
For reaction : 2H2O2(1) $$\rightleftharpoons$$ 2H2O(1) + O2(g)
Given, p = 1 bar, T = 300 K, n = 100 mol, R = 8.3 J K$$-$$ mol$$-$$1
We know that
w = p$$\Delta$$V = nRT
= 100 $$\times$$ 8.3 $$\times$$ 300
= 249000 J or 249 kJ
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