Find the molecular weight of a gaseous compound if the density is 12.24 g/L,the pressure is 900 torr,and the..

Find the molecular weight of a gaseous compound if the density is 12.24 g/L, the pressure is 900 torr, and the temperature is 47°C.

Answer:
P1V1/T1 = P2V2/T2

mass remaining const.
=> P1m/d1*T1 = P2m/d2*T2

=> P1/d1*T1 = P2/d2*T2
m= mass of the gas
d1 = density at T1
d2 = density at T2(47°C = 320 K)

putting the values,
=> at STP,
760/(d1*273) = 900/(12.24 *320)
=> d1 = 760 * 12.24 * 320/(900*273)
= 12.115 g/L

since the vol of 1 mol of any gas occupies 22.4 L in STP
=> molecular wt of the gas = 22.4 * 12.115 = 271.386 (ans)

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