JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
If \(100\, mole\) of \(H_2O_2\) decomposes 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............. \(kJ\) \(2{H_2}{O_2}(l) \rightleftharpoons {H_2}O(l) + {O_2}(g)\) \((R = 8.3\, JK^{-1}\, mol^{-1})\)
- A \(124.50\)
- B \(249\)
- C \(498\)
- D \(62.25\)
Answer & Solution
Correct Answer
(A) \(124.50\)
Step-by-step Solution
Detailed explanation
\(2{H_2}{O_2}(l) \leftrightarrow 2{H_2}O(l) + {O_2}(g)\) \(W = - {P_{ext}}(\Delta V) = - ({n_{{O_2}}})RT\) \(\because \,100\) mole \({H_2}{O_2}\) on decomposition give \(50\) mol \({O_2}\) \(\therefore \,W = - (50)(8.3)(300) = - 124500\,J\) \( = - 124.5\,kJ\)
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