If $$10^{-4}$$ dm$$^3$$ of water is introduced into a $$1.0$$ dm$$^3$$ flask at $$300$$ K, how many moles of water are in the vapour phase when equilibrium is established? (Given: Vapour pressure of $$\text{H}_2\text{O}$$ at $$300$$ K is $$3170$$ Pa; $$R = 8.314$$ J K$$^{-1}$$ mol$$^{-1}$$)

A

$$5.56 \times 10^{-3}$$ mol

B

$$1.53 \times 10^{-2}$$ mol

C

$$4.46 \times 10^{-2}$$ mol

D

$$1.27 \times 10^{-3}$$ mol