A volume of 6 l is placed in a closed evacuated room of volume 827 l at the temperature 300 K. The d β States of Matter and Gaseous State Chemistry Question
Question
A volume of 6 l $H_2O$ is placed in a closed evacuated room of volume 827 l at the temperature 300 K. The density of liquid water at 300 K is 1.0 g/ml. The vapour pressure of water at 300 K is 22.8 mm Hg. Neglect the change in volume of liquid water by vaporization. Match Column I with Column II: Column I: (A) Mass of water vapour formed (in g) (B) Moles of water vapour formed (C) β mass of liquid water left (in kg) (D) Total moles of atoms in vapour form Column II: (P) 6 (Q) 18 (R) 3 (S) 1

π‘ Solution & Explanation
Free volume = 827-6 = 821 L. $P_{vap}=22.8/760=0.03$ atm. $n_{vapour}=PV/RT=0.03\times821/(0.0821\times300)=1$ mol β BβS(1). Mass of vapour = $1\times18=18$ g β AβQ(18). Liquid remaining $\approx6000-18\approx6$ kg β CβP(6). Total moles of atoms in vapour = $3\times1=3$ (H$_2$O has 3 atoms) β DβR(3).