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Calculate the enthalpy of vaporisation p...

Calculate the enthalpy of vaporisation per mole for ethanol. Given `DeltaS = 109.8 J K^(-1) mol^(-1)` and boiling point of ethanol is `78.5^(@)`.

Text Solution

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The entropy change for vaporisation,
`Delta_(vap)S^(@) = (Delta_(vap)H^(@))/(T_(b)^(@))`
or `Delta_(vap)H^(@) = Delta_(vap)S^(@) XT_(b)^(@)`
`DeltaS^(@) = 109.8 J K^(-1) mol^(-1), T_(b)^(@) = 273 + 78.5 = 351.5 K`
`therefore Delta_(vap)H^(@) = (109.8 J K^(-1) mol^(-1)) xx (351.5 K)`
`= 38595 J mol^(-1) = 38.595 kJ mol^(-1)`.
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