1. What is the pressure in a 28.9- L cylinder filled with 40.0 g of oxygen gas a
ID: 789515 • Letter: 1
Question
1. What is the pressure in a 28.9-L cylinder filled with 40.0g of oxygen gas at a temperature of 327K ?
2.A sample of gas has a mass of 38.6mg . Its volume is 220mL at a temperature of 56?C and a pressure of 858torr . Find the molar mass of the gas.
3.A gas mixture contains 1.20g N2 and 0.81g O2 in a 1.63-L container at 23?C.
A.Calculate the mole fraction of N2.
B.Calculate the mole fraction of O2.
C.Calculate the partial pressure of N2.
D.Calculate the partial pressure of O2.
Explanation / Answer
ans 1)
P = nRT/V
mass = 40g
n = moles = 40/32 = 1.25
V = 28.9 L
T = 327 K
P = 1.25*0.0821*327/28.9 = 1.16 atm
ans 2/)
V = 0.22L
T = 56 C = 329 K
P = 858 torr = 1.129 atm
R = 0.0821
N = PV/RT = 1.129*0.22/0.0821*329 = 0.00919 moles
so moles = mass/molar mass
molar mass = 0.0386/0.00919 = 4.2 gm/mol
ans 3)
moles of N2 = 1.2/28 = 0.0429
moles of O2 = 0.81/32 = 0.0253
V = 1.63 L
T = 23C = 296 K
moles fraction of N2 = 0.0429/(0.0429+0.0253) = 0.629
moles fraction of O2 = 0.0253/(0.0429+0.0253) = 0.371
P = nRT/V = (0.0429+0.0253)*296*0.0821/1.63 = 1.017 atm
Partial pressure of N2 = 1.017*0.629 = 0.639 atm
partial pressure of O2 = 1.017*0.371 = 0.377 atm
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