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Question

Acetic acid forms a dimer in the gas phase
The dimer is held together by two hydrogen bonds with a total strength of 66.5 kJ per mole of dimer. At 25oC, the equilibrium constant for the dimerisation is 1.3×103 (pressure in atm). What is magnitude S0 for the reaction? Assume that H does not vary with temperature.

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Solution

2CH3COOH(g)(CH3COOH)2(g)
Go2.303RT log K
Go=2.303×8.314×298×log(1.3×103)=17767.69J=17.77kJ

Again,
G0=H0TS0
17.77=66.5298×S0
S0 = (66.5+17.77298)
S0 = (48.73298)=0.163 kJ mol1 K1
Therefore, So=0.163kJ mol1 K1

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