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College
Physics
Advanced Physics

Tordellilgn

Answered question

2022-12-15

Why is

22.4

liters called the molar volume of a gas?

Answer & Explanation

Melody Dean

Beginner2022-12-16Added 7 answers

Standard temperature and pressure
Anytime the Standard temperature and pressure (STP) are specified as

273.15 K

and

1 atm

pressure.At STP an ideal gas law is as follows:

V = \frac{n R T}{P}

Here,

V

is the volume,

n

is the number of moles,

R

is a gas constant,

T

is the temperature and

P

is the pressure.
Molar volume of a gas
The molar volume of a gas is the volume of one mole of a gas at STP.Substitute the values

n = 1 mol

R = 0.082057 L atm {mol}^{- 1} K^{- 1}

T = 273.15 K

and

P = 1 atm

in the above equation as follows:

V = \frac{n R T}{P} = \frac{1 mol \times 0.082057 L atm {mol}^{- 1} K^{- 1} \times 273.15 K}{1 atm} = 22.4 L

At STP, one mole of any gas occupies a volume of

22.4 L

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