If $\mathrm{O}_{2}$ gas is bubbled through water at $303 \mathrm{~K}$, the number of millimoles of $\mathrm{O}_{2}$ gas that dissolve in 1 litre of water is __________. (Nearest Integer)
(Given : Henry's Law constant for $\mathrm{O}_{2}$ at $303 \mathrm{~K}$ is $46.82 \,\mathrm{k}$ bar and partial pressure of $\mathrm{O}_{2}=0.920$ bar)
(Assume solubility of $\mathrm{O}_{2}$ in water is too small, nearly negligible)
Answer (integer)
1
Solution
$\mathrm{P}=\mathrm{K}_{\mathrm{H}} \times \mathrm{X}$
<br/><br/>
$0.920 \mathrm{bar}=46.82 \times 10^{3}\, \mathrm{bar} \times \frac{\mathrm{mol} \,\mathrm{of} \,\mathrm{O}_{2}}{\mathrm{~mol} \text { of } \mathrm{H}_{2} \mathrm{O}}$
<br/><br/>
$0.920=46.82 \times 10^{3} \times \frac{\text { mol of O}_{2}}{1000 / 18}$
<br/><br/>
$0.920=46.82 \times n_{O_{2}}$
<br/><br/>
$\mathrm{P}=\frac{0.920}{46.82 \times 18}=n_{O_{2}}$
<br/><br/>
$\Rightarrow 1.09 \times 10^{-3} \,n_{O_{2}}$
<br/><br/>
$\Rightarrow \mathrm{m}\, \mathrm{mol}\, \mathrm{of}\, \mathrm{O}_{2}=1$
About this question
Subject: Chemistry · Chapter: States of Matter · Topic: Gas Laws
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