The vapour pressure of solid benzoic acid has been found to obey the relationship ( in the neighbourhood of 298 K) as: `ln.(P)/(P^(@)) = a-(b)/(T)`, where a = 22.88 and `b = 1.07 xx 10^(4)K` Which of the following values are correct at 298 K for the sublimation of benzoic acid?

Options

A. `Delta G^(@) = 32.34 kJ mol^(-1)`
B. `Delta H^(@) = 88.96 kJ mol^(-1)`
C. `Delta S^(@) = 190 JK^(-1) mol^(-1)`
D. `Delta H^(@) = -88.96 kJ mol^(-1)`

Answer

A, B, C

Explanation

`because P^(@) = 1 atm`
`ln P = -b.(1)/(T) + a rArr ln K_(P) = -b.(1)/(T)+a`
`P_(eq) = P_(("benzoic acid")) =K_(P)`