First slide

Liquid state

Question

Graphically variation of log₁₀ p with 1/T is shown. If tan $θ$ (slope of the line) = - 2K, Iatent heat of vaporisation of the given liquid is

Moderate

A

$2 .303 cal {mol}^{- 1}$
B

$4 .606 cal {mol}^{- 1}$
C

$9 .212 cal {mol}^{- 1}$
D

$4 .00 cal {mol}^{- 1}$

Solution

Variation of log₁₀ p with $\frac{1}{T}$ given by Clausius-Clapeyron I equation (linear equation)
$\log_{10} p = - \frac{ΔH}{2 .303 RT} + A$
$slope - \frac{ΔH}{2 .303 R} = - 2 (given)$
$∴ ΔH = 2 .303 R \times 2$
$= 2 .303 \times 2 \times 2 = 9 .212 cal {mol}^{- 1}$

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