
Jon O. answered 01/26/24
Master of Medical Sciences with 6+ years of Teaching Experience
The easiest way to answer this would be to apply our understanding that 1 mole of any gas occupies 22.4 L of space at STP. To determine the volume, multiply the number of moles by this constant.
1.8 mol O2 x 22.41 L/mol = 40.34 L O2
Another way to approach answering this would be to use the ideal gas law, PV=nRT. The known values in this scenario include:
P = 1.0 atm (standard)
T = 273 K (standard)
R = 0.0821 (gas constant)
n = 1.8 mol
V = ? L
V = (1.8)(0.0821)(273) / (1.0) = 40.34 L O2
Remember, if following significant figure conventions, the answer here would technically be 40. L O2 because the provided 1.8 mol O2 only contains two significant figures.
J.R. S.
01/26/24