A 1.55 g
1.55 g sample of an unknown gas at 67
∘
C
67 ∘C and 1.05 atm
1.05 atm is stored in a 2.95 L
2.95 L flask.
What is the density of the gas?
PV = nRT
P = 1.05atm
V = 2.95L
R = 0.08206Latm/Kmol
T = 67 + 273 = 340K
n = moles = PV/RT
Use PV = nRT to determine moles of gas present in gas:
(1.05 atm) (2.95 L) = (n) (0.08206) (340 K)
n = 0.111 mol
2) Get molar mass of gas using calculated moles:
0.111 mol x M g/mol = 1.55g
M = 1.55 g / 0.111 mol = 13.96 g/mol
Density = Molar Mass x P / RT
= 13.96 g/mol x 1.05 atm / 0.08206 L mol / atm .K x 340 K
= 0.525 g /L
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