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Q. $0.20mol$ of He and $1.00mol$ of an unknown compound (vapor pressure $=0.70$ atm at $300K$ ) are introduced to an evacuated empty vessel with a movable piston under the external pressure of $1atm$ . Considering the ideal gas behavior, determine the total volume of the gases (in $L$ ) at $300K$ . (Take $R =0.08 atm L mole ^{-1} K ^{-1}$ )

NTA AbhyasNTA Abhyas 2022

Solution:

Pressure of $He=1-0.70=0.30$ atm
$V=\frac{n R T}{P}=\frac{0 . 20 \times 0 . 08 \times 300}{0 . 30}=16L$