wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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.

Open in App
Solution

Given, the number of moles of the ideal gas is 1mole.

Let P be the pressure of an ideal gas, V be its volume, T be the temperature and n be the number of moles of the gas, then the ideal gas equation is,

PV=nRT(1)

Here, R is the universal gas constant, i.e. 8.314J/ mol K.

Take the value of standard temperature T as 273K, standard pressure P as 1atm=1.013× 10 5 N/ m 2 and number of moles n=1.

The volume V from (1) is,

V= nRT P

Substitute the values in the above expression.

V= 1×8.314×273 1.013× 10 5 =0.0224 m 3 or22.4litres

Therefore, the value of molar volume occupied by 1mol of the gas is 22.4litres.


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Equations Redefined
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon