Vapour density of phosphorus at 310∘C and 775 mm Hg is 2.64 g/l. i.e., P1=775mm=760775atmT1=310+273=583Kd=Vw=2.64g/l According to gas-equation: PV=nRT=mwRT or m=Vw⋅PRT or m=775/7602.64×0.0821×583 Atomic weight of phosphorus is 31. Hence number of atoms bonded together to form one molecule will be =31124=4. Hence, molecular formula of phosphorus =P4.