Question

explain the mathematical expression of boyle's law.

Answer 1

In the gaseous state, the forces of attraction between the molecules are minimum, and hence the molecules are far apart from one another and their positions are not fixed. Hence, gases have neither definite shape nor definite volume.
Some of the characteristic features of gases are that they have low intermolecular forces of attraction and they are highly compressible. The compressibility of gases can be explained by the low intermolecular forces of attraction and high space in between the molecules of the gases. Since the intermolecular space is very large, the gas molecules can be moved closer if some external pressure is applied on them. 

Behavior of the gases with change in pressure, volume and temperature has been widely studied. And the relation between the various changes is given by the gas law.s The gas laws came from various experiments that were performed on the properties of the gases centuries back. Robert Boyle in the year 1662 made reliable measurement on the gases by observing the change in the pressure when the volume is changed or by observing the volume when the pressure is changed, in both the cases the temperature is kept constant.

The relation between the changes in the pressure with volume at constant temperature was established by the Boyle's Law. On the basis of the various experiments, Boyle was able to conclude that “Volume of the gas is inversely proportional to the pressure of the gas if the temperature of the gas is kept constant”. This statement is known as Boyle's law. 

According to Boyle's law when the pressure of the gas is increased, then the volume of the gas should decrease; in the same way when the volume of the gas is increased then the pressure of the gas should decrease, provided temperature does not change.

Answer 2

The relation between the changes in the pressure with volume at constant temperature was established by the Boyle's Law. On the basis of the various experiments, Boyle was able to conclude that “Volume of the gas is inversely proportional to the pressure of the gas if the temperature of the gas is kept constant”. This statement is known as Boyle's law.

According to Boyle's law when the pressure of the gas is increased, then the volume of the gas should decrease; in the same way when the volume of the gas is increased then the pressure of the gas should decrease, provided temperature does not change.