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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Detailed Solution

$P = K_{H} \times x$

$\underset{b a r}{0.920} = 46.82 \times 10^{3} b a r \frac{m o l o f O_{2}}{m o l o f H_{2} O}$

$0.920 = 46.82 \times 10^{3} \times \frac{m o l o f O_{2}}{\frac{1000}{18}}$

$0.920 = 46.82 \times n_{O_{2}} \times 18 = \frac{0.920}{46.82 \times 18} = n_{O_{2}} \Rightarrow 1.09 \times 10^{- 3} = n_{O_{2}} \Rightarrow m m o l o f O_{2} = 1$

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