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If \( 10^{-4} \mathrm{dm}^{3} \) of water is introduced into a \( 1.0 \mathrm{dm}^{3} \) flask at \( 300 \mathrm{~K} \), how many moles of water are in the vapour phase when equilibrium is established?
(Given : Vapour pressure of \( \mathrm{H}_{2} \mathrm{O} \) at \( 300 \mathrm{~K} \) is \( 3170 \mathrm{~Pa} ; R=8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1} \) )
(a) \( 1.27 \times 10^{-3} \) mole
(b) \( 5.56 \times 10^{-3} \) mole
(c) \( 1.53 \times 10^{-2} \) mole
(d) \( 4.46 \times 10^{-2} \) mole
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