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Acetic acid CH(3)COOH can form a dimer (...

Acetic acid `CH_(3)COOH` can form a dimer `(CH_(3)COOH)_(2)` in the gas phase. The dimer is held together by two `H-`bonds with a total strength of `60.0 kJ per` mole of dimer

If at `25^(@)C`, the equilibrium constant for the dimerisation is `1.3 xx 10^(3)`, calculate `DeltaS^(Theta)` for the reaction
`2CH_(3)COOH (g) hArr (CH_(3)COOH)_(2)(g)`

Text Solution

Verified by Experts

`DeltaG^(@)=-2.303RT" "logK`
`=-2.303xx8.314xx298" log "(1.3xx10^(3))`
`=-17767.688J=-17.767kJ`
`DeltaG^(@)=DeltaH^(@)-TDeltaS^(@)`
`-17.767=-66.5-298xxDeltaS^(@)`
`DeltaS^(@)=(-66.5+17.767)/(298)=-0.163kJ`
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