In: Chemistry
1.20 g of an unknown liquid is placed into a 2.3 L container under vacuum. (No gases present.) The liquid completely evaporates at 25.03°C and becomes a gas with a pressure of 325.3 torr. What is the molar mass of the the unknown substance?
volume = V= 2.3L
Pressure = p= 325.3 torr = 0.428 atm
mass of gas = w = 1.20 grams
Temperature = T = 25.03C = 298.03 K
Gas constant = R= 0.0821 L-atm/k/mole
Ideal gas equation = PV=nRT , but n= mass/molar mass = w/M
PV= w/M*RT
M = w xR xT/PV
= 1.20 x 0.0821 x 298.03/0.428x2.3
= 29.36/0.9844 = 29.83 grams
Molar mass of unknown gas = 29.83 grams.