QJEEM16Cha152: JEE Main 2016 Chemistry - Class 11 JEEM16Cha152 Solution: If 100 mole of H 2 O 2 decompose at 1 bar and 300 K, the work…

Question

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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})

Accepted Answer

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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