Wednesday, April 17, 2013

Mass and volume relationship

Introduction 
Mass is the measure of inertia.  Mass of an atom is composed of the mass of the protons and the mass of the neutrons.  The mass of the electrons is negligible. It is the same thing with molecules.   The mass of a particular compound is the mass of its molecules.

 Similarly, volume is also a property exhibited by any gas. It is the space occupied by a gas.  Each gas at a certain temperature has a specific volume depending upon its mass. There is a certain co-relationship between mass and the volume of the gas at a particular temperature.

Mass and molar mass definition :

In chemistry, the mass is often expressed in terms of molar mass. The molar mass is the mass of one mole of a gas.  One mole of a gas is nothing but gram equivalent of the gas.
 To illustrate, take the gas, carbon monoxide, the molar mass of carbon monoxide is 12+ 16 = 28. 

When this mass which is in atomic mass unit is expressed in grams instead of atomic mass unit it is called as one mole. 
So one mole of carbon dioxide is 28 grams. And it has been proved that there is definite relationship between the volume and molar mass of the gas.

The relationship between the molar mass and the volume is that 1 mole of the gas would occupy 22.4 liters of volume. 

In the above case where the molar mass of carbon dioxide is 28, 28 grams of carbon dioxide would occupy 22.4 liters of volume.  This relationship was developed from the equation of ideal gas i.e. PV = nRT, where 'n' is number of moles. 

At standard temperature and pressure the values of which are 273° kelvin and 1 atmosphere, the volume figure derived is 22.4 liters. 

If the mass of a gas is expressed as 'z' then it can be said that 'z' grams of a gas occupy (z/molar mass x 22.4) liters of volume.

Illustration of mass and volume relationship

Find the volume occupied by 56 grams of carbon dioxide.
The molar mass of carbon dioxide is 28;
hence number of moles = 56 / 28 = 2 moles.
 Since one mole occupies 22.4 liters at STP,
2 moles of carbon dioxide would occupy 44.8 liters of volume.

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