# Molar Volume is the Volume Occupied by 1 Mol of Any (Ideal) Gas at Standard Temperature and Pressure (Stp: 1 Atmospheric Pressure, 0 °C). Show that It is 22.4 Litres - Physics

Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP: 1 atmospheric pressure, 0 °C). Show that it is 22.4 litres

#### Solution 1

The ideal gas equation relating pressure (P), volume (V), and absolute temperature (T) is given as:

PV = nRT

Where,

R is the universal gas constant = 8.314 J mol–1 K–1

n = Number of moles = 1

T = Standard temperature = 273 K

P = Standard pressure = 1 atm = 1.013 × 105 Nm–2

:.V= (nRT)/T

= (1xx8.314xx273)/(1.013xx10^5)

= 0.0224 m^3

= 22.4 litres

Hence, the molar volume of a gas at STP is 22.4 litres.

#### Solution 2

For one mole of an ideal gas, we have

PV = RT => V = "RT"/P

Putting  R = 8.31 J mol^(-1) K^(-1), T = 273 K and P = 1 " atmosphere" = 1.013 xx 10^5 Nm^(-2)

:. V = (8.31 xx 273)/(1.013xx 10^5) = 0.0224 m^3

= 0.0224 xx 10^6 cm^3 = 22400 ml       [1 cm^3 = 1ml]

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#### APPEARS IN

NCERT Class 11 Physics Textbook
Chapter 13 Kinetic Theory
Q 2 | Page 333