It is desired to inflate a baggie with a volume of 937 milliliters by filling it with oxygen gas at a pressure of 0.557 atm and a temperature of 310 K. How many grams of O2 gas are needed? g
Solution:
According to gas equation,
PV = n R T
Given,
P = 0.557 atm
V = 937 mL = 0.937 L
T = 310 K
R = 0.0821 L atm K-1 mol-1
n = number of moles
Thus,
n = P V / R T
n = (0.557 atm x 0.937 L) / (0.0821 L atm K-1 mol-1 x 310 K)
n = 0.0205 mol
Hence,
Mass of oxygen gas = number of mol x molar mass of O2
Mass = 0.0205 mol x 32 g /mol = 0.656 g
Therefore,
Mass needed of O2 = 0.656 g
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