CHARLES LAW

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CHARLES LAW;

Charles's law is an experimental gas law that describes how gases tend to expand when heated. A modern statement of Charles's law is: When the pressure on a sample of a dry gas is held constant, the Kelvin temperature and the volume will be in direct proportion. 

FORMULA CHARLES LAW

When the pressure on a sample of a dry gas is held constant, the Kelvin temperature and the volume will be in direct proportion.^[1]

This relationship of direct proportion can be written as:

${\displaystyle V\propto T}$

So this means:

${\displaystyle {\frac {V}{T}}=k,\quad {\text{or}}\quad V=kT}$

where:

V is the volume of the gas,

T is the temperature of the gas (measured in kelvins),

and k is a non-zero constant.

This law describes how a gas expands as the temperature increases; conversely, a decrease in temperature will lead to a decrease in volume. For comparing the same substance under two different sets of conditions, the law can be written as:

${\displaystyle {\frac {V_{1}}{T_{1}}}={\frac {V_{2}}{T_{2}}}\qquad {\text{or}}\qquad {\frac {V_{2}}{V_{1}}}={\frac {T_{2}}{T_{1}}}\qquad {\text{or}}\qquad V_{1}T_{2}=V_{2}T_{1}.}$

The equation shows that, as absolute temperature increases, the volume of the gas also increases in proportion.