How do you calculate molar volume of a gas at STP?

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Jun 17, 2017

Using the Ideal Gas Law, you would find the volume of 1 mole of a gas at Standard Temperature and Pressure (STP).

STP = 1 atm of pressure and 273 K for temperature

P = 1 atm
V = ???
n = 1 mole
R = 0.0821 atm L/mol K
K = 273 K

$P V = n R T$
solves to
$V = \frac{n R T}{P}$

$V = \frac{1 \cancel{m o l} \frac{0.0821 \left(\cancel{a t m} L\right)}{\cancel{m o l} \cancel{K}} 273 \cancel{K}}{1 \cancel{a t m}}$

V = 22.41 L of gas @ STP

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