"At constant pressure, the volume of a given mass of gas increases or decreases by 1/273 of its original volume at 32oF, for each degree centigrade rise or lowering in temperature."
When a gas is heated the molecules move faster increasing the pressure. But to maintain the pressure constant, the force of collision is compensated with an increase in volume. So, at constant pressure the volume of the gas increases with temperature. By kinetic gas equation we have,
substituting this we have,
This is the statement of Charles' law.
Absolute scale or Kelvin scale of temperature
Assume, we start with a volume of 273 litres of a gas at 32oF. Cool it to 30.2oF. It will lose 1/ 273 of the original volume at 32oF.
So the new volume at 30.2oF = (273 -1) = 273 ltCool it further to 28.4oF.
New volume at 28.4oF = (272 -1) = 271 lt
In other words, for every degree lowering of temperature, a volume of one litre is lost. So if the gas is cooled to 523oF, it will lose a volume of 273 litres, i.e. the gas now occupies a volume of zero i.e. it ceases to exist. But that is neither practical nor possible! How can a gas cease to exist?Fortunately, before this temperature can be reached all gases get liquefied and solidified. And the gas laws do not apply to liquids and solids!
In theoretical terms, the lowest possible temperature that can be reached is the temperature of - 459.4oF at which a gas has theoretical volume of zero. This temperature is referred to as 'Absolute Zero'.
A temperature scale, with absolute zero as the starting point is called the absolute scale. Lord William Thomson Kelvin (1824 - 1907) suggested the use of a gas thermometer for accurate temperature reading making use of gas laws. In his honour, the absolute scale has been named as the Kelvin scale, and the temperature is expressed in Kelvin unit (symbol K).
Conversion from Celsius to Kelvin and vice versa
To convert Celsius scale to Kelvin scale, add 273 to the Celsius temperature.
32oF = 0 + 273 = 273 K
212oF = 100 + 273 = 373 K
-459.4oF = - 273 + 273 = 0 K
To convert Kelvin scale to Celsius scale, subtract 273 from the Kelvin scale.
0 K = 0 - 273 = - 523.4oF
273 K = 273 - 273 = 32oF
373 K = 373 - 273 = 212oF
Kelvin scale, since it starts from the lowest possible temperature it has no negative values. All the values for temperature are positive.
Using the absolute scale, Charles' law can be generalized as follows:
"Pressure remaining constant, the volume of a given mass of a gas is directly proportional to the Absolute Temperature (Kelvin temperature)".
Assume a given mass of gas has a volume of V1 at a temperature T1 Kelvin at a constant pressure, then, according to Charles' Law we can write:
Let the new temperature be T2, and the new volume be V2, then
Ideal Gas is an imaginary gas that follows all the gas laws, and has 0 volume at 0 K. Of course an 'ideal gas' in reality does not exist.