The enthalpy of vaporisation of a liquid is $30 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and entropy of vaporisation…

The enthalpy of vaporisation of a liquid is $30 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and entropy of vaporisation is $75 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$. Calculate boiling point of liquid at 1 atm .
  1. 250 K
  2. 400 K
  3. 450 K
  4. 600 K

Solution

$\begin{aligned} & \Delta \mathrm{S}=\frac{\Delta \mathrm{H}}{\mathrm{T}}(\text { At constant pressure of } 5 \mathrm{~atm}) \\ & 75 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}=\frac{30 \times 10^3 \mathrm{Jmol}^{-1}}{\mathrm{~T}} \\ & \mathrm{~T}=\frac{30000 \mathrm{Jmol}^{-1}}{75 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}} \\ & \mathrm{~T}=400 \mathrm{~K}\end{aligned}$

Asked in: MHT CET 2024 (16 May Shift 1)

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