If `10^(4)dm^(3)` of water is introduced into a 1.0 `dm^(3)` flast at 300 K, how many moles of water are in the vapour phase when equilibrium is established? (Given: Vapour pressure of `H_(2)O` at 300 K is 3170 Pa, `R=8.314JK^(-1)mol^(-1)`)

Options

A. `5.56xx10^(-3)mol`
B. `1.53xx10^(-2)`
C. `4.46xx10^(-2)` mole
D. `1.27xx10^(-3)`mole

Answer

D

Explanation

(d) From the ideal gas equation.
`PV=nRT`
on `n=(PV)/(RT)=(31.70xx10^(-3))/(8.314xx300)=1.27xx10^(-3)`