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# Henry’s law constant for the molality of methane in benzene at 298 K is $4.27 \times 10^5$ mm Hg. Calculate the solubility of methane in benzene at 298 K under 760 mm Hg.

$\begin{array}{1 1}1.78\times 10^{-3}\\2.78\times 10^{-3}\\3.78\times 10^{-3}\\4.78\times 10^{-3}\end{array}$

Given :
$K_H=4.27\times 10^5$ mm
$P=760mm$
Applying Hentry's law
$P=K_Hx$
$x=\large\frac{P}{K_H}$
$\;\;\;=\large\frac{760m}{4.27\times 10^5mm}$
$\;\;\;=1.78\times 10^{-3}$
(ie) Mole fraction of methane in benzene =$1.78\times 10^{-3}$