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  4. If O 2 gas is bubbled through water at 303 K, the number of millimoles of O 2 gas that dissolve in 1 litre of water is (Nearest Integer) (Given: Henry's Law constant for O 2 at 303 K is 46.82 k bar and partial pressure of O 2= 0.920 bar) (Assume solubility of O 2 in water is too small, nearly negligible)

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Q. If $O _2$ gas is bubbled through water at $303\, K$, the number of millimoles of $O _2$ gas that dissolve in 1 litre of water is ____ (Nearest Integer)
(Given : Henry's Law constant for $O _2$ at $303 \,K$ is $46.82 \,k$ bar and partial pressure of $O _2=$ $0.920$ bar)
(Assume solubility of $O _2$ in water is too small, nearly negligible)

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Solution:

$ p = K _{ H } \times x$
$ \underset{\text{bar}}{0.920}=46.82 \times 10^3 \text { bar } \times \frac{\text { mol of } O _2}{\text { mol of } H _2 O }$
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$0.920=46.82 \times n _{ o _2}$
$p =\frac{0.920}{46.82 \times 18}= n _{0_2}$
$ \Rightarrow 1.09 \times 10^{-3}= n _{0_2}$
$ \Rightarrow\, m \,mol\, of _2=1$