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 $3170 \;Pa ; R = 8.314 J K^{–1} mol^{–1})$

Question

( A ) $4.46 x 10^{–2} mol$
( B ) $5.56 x 10^{–3} mol$
( C ) $1.27 x 10^{–3} mol$
( D ) $1.53 x 10^{–2} mol$