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Q.

Acetic acid can form a dimer ${(C H_{3} C O O H)}_{2}$ in gas phase. The dimer is held together by H-bonds. If at $27^{0} C,$ equilibrium constant for dimerization is $e^{10}$ and $| Δ S^{0} |$ for dimerization is ‘y’ cal/K. Determine the value of $\frac{y}{10} .$ Given: Hydrogen-Bond enthalpy =7.5 Kcal/mol, R=2 cal/mol K

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Detailed Solution

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$2 C H_{3} C O O H (g) \to {(C H_{3} C O O H)}_{2} (g)$

$Δ H^{0} = - 2 \times 7.5 = - 15 K c a l$

$Δ G^{0} = - R T \ln K e q = - 2 \times 300 \ln e^{10} = - 6000 c a l$

$Δ G^{0} = Δ H^{0} - T Δ S^{0}$

$- 6000 = - 15000 - 300 Δ S^{0}$

$Δ S^{0} = \frac{- 9000}{300} = - 30 c a l / K$

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Acetic acid can form a dimer (CH3COOH)2 in gas phase. The dimer is held together by H-bonds. If at 270C, equilibrium constant for dimerization is e10 and |ΔS0| for dimerization is ‘y’ cal/K. Determine the value of y10. Given: Hydrogen-Bond enthalpy =7.5 Kcal/mol, R=2 cal/mol K