Molar Volume - Class 9 PDF Download

What is Molar Volume?

The Molar Volume, represented by V_m, is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure (STP). It can be calculated by dividing Molar mass (M) by mass density (ρ). One mole of any gas at a particular temperature and pressure has fixed volume and known as its Molar gas volume.

 Molar Volume formula

The Molar volume is directly proportional to molar mass and inversely proportional to density. The formula of molar volume is expressed as 

Where V_m is the volume of the substance.

The standard temperature used is 273 Kelvin or 0^oC, and standard pressure is 1 atmospheres, i.e., 760 mm Hg. Experimentally, one mole of any gas occupies a volume of 22.4 liters at STP. The equation can be expressed as

1 mole of gas at STP = 22.4 liters of gas.

Example 1

The decomposition of NaClO₃ produces NaCl and O2. Determine the volume of O₂ if 42.6 g NaClO₃ decomposes at STP? The density is given to be 0.213g/m₃.

 Solution

Parameters given are,

Density(ρ) = 0.215kg/m₃

Molar mass = 42.5g/mol = 0.0425kg/mol

Atomic weight = 96

To substitute in the equation

Vm = Atomic weight x Molar mass / Density

     = 96 x 0.0425 / 0.215

Therefore, Vm = 18.976 m₃/mol

Example 2

Calculate the molar volume of Ice when the density = 0.9167 g/cm₃, molar mass = 18g and atomic weight is 18.02g.

 Solution

Parameters given are,

Density = 0.9167 g/cm₃

Molar mass = 0.018kg

Atomic weight = 18.02g

Substitute in the formula for molar volume, we get

Vm = 18.02 x 0.018 / 0.0009167

     = 353.83m₃/mol