If $10^{-4}\, dm^3$ of water is introduced into a $1.0\, dm^3$ flask to $300\, K$, how many moles of water are in the vapour phase when equilibrium is established ?
(Given : Vapour pressure of $H_2O$ at $300\, K$ is $3170\, Pa ;\, R = 8.314 \,J \,K^{-1}\, mol^{-1}$)