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JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
\({\Delta _f}{G^o}\) at \(500\, K\) for substance \('S'\) in liquid state and gaseous state are \(+100.7\, kcal\, mol^{-1}\) and \(+103\, kcal\, mol^{-1}\) , respectively. Vapour pressure ofliquid \('S'\) at \(500\, K\) is approximately equal to \((R\,= 2\,cal \,K^{-1}\,mol^{-1})\) .....\(atm\)
- A \(100\)
- B \(1\)
- C \(10\)
- D \(0.1\)
Answer & Solution
Correct Answer
(C) \(10\)
Step-by-step Solution
Detailed explanation
\(\Delta G_{rxn}^o = {\Delta _f}{G^o}(vapour) - {\Delta _f}{G^o}(liquid)\) \(\Delta G_{rxn}^o = 103 - 100.7 = 2.3\,kcal/mol\) \( = 2300\,cal/mol\) \(\Delta G_{rxn}^o = - RT\,\ln \,K\) \(2300\,cal/mol = - 2\,cal\,mol\,K \times 500\,K \times \ln \,K\) \(\ln \,K = 2.3\)…
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