Question

Solubility of $N_2\left(g\right)$ in water exposed to atmosphere is $5.3\times {10}^{-4}M$ at $539mm$ of $Hg$. What is its solubility at $1atm$ pressure?

• A. $1.5\times {10}^{3}M$
• B. $2.5\times {10}^{3}M$
• C. $6.8\times {10}^{-4}M$
• D. $1.5\times {10}^{-3}M$

Answer 1

The correct option is C $6.8\times {10}^{-4}M$

According to Henrys law the solubility of gases in liquids

$P_{gas}=K_H{X}_{gas}$

$X_{gas}=$ mole fraction of gas in liquids

$P_{gas}=$ Partial pressure of gas over liquid surface

Solution $\alpha$ pressure

$\frac{S_2}{S_1}=\frac{P_2}{P_1}$

$S_2=5.3\times {10}^{-4}\times \frac{760}{593}=6.8\times {10}^{-4}M$