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Question: The enthalpy of vapourisation of a liquid is 30 kJ mol<sup>–1</sup> and entropy of vapourisation is ...

The enthalpy of vapourisation of a liquid is 30 kJ mol–1 and entropy of vapourisation is 75mol–1 K. The boiling point of the liquid at 1 atm is

A

250 K

B

400 K

C

450 K

D

600 K

Answer

400 K

Explanation

Solution

ΔSv=ΔHvTb\Delta S_{v} = \frac{\Delta H_{v}}{T_{b}}

30kJ=30000J30kJ = 30000J

ΔHv=30000J\Delta H_{v} = 30000J;ΔSv=75mole1K\Delta S_{v} = 75mole^{- 1}K

; Tb=3000075=400KT_{b} = \frac{30000}{75} = 400K