Answer these questions:
1) Calculate R (the Universal Gas Constant) using the units torr, mL, mol, K, knowing that 1 mole of ideal gas
occupies a volume of 22.4 L at STP.
2) One mole of oxygen gas has a mass of 32.0 grams. What pressure will 100. grams of oxygen exert in a
22.0 L container at 300. K?
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Answers & Comments
Verified answer
1) PV = nRT ideal gas law
R = PV/nT
At STP, 1 atm = 760 torr, 273 K
22.4 L x 1,000 mL/ 1 L = 22,400 mL
R = (760 torr)(22,400 mL)/(1 mol)(273 K)
R = 62,400 torr*mL/ mol*K (rounded to nearest hundredth)
2) PV = nRT
P = nRT/V
n(moles): 100g x 1 mol O2/32g = 3.125 mol
P = (3.125 mol)(62.4 torr L/mol K)(300K)/22.0L
P = 2,660 torr or 3.50 atm