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Gay Lussac’s Law (Pressure – temp. law)

It is called pressure law. It is the same of charle’s but, instead of relation between volume and temperature it becomes between pressure and temperature at constant volume this time.

It states that: at constant volume, the pressure of a fixed mass of gas is directly proportional
to the Kelvin temperature or absolute temperature.

P∝ T (at const. V)

V: Volume, T: Temperature, P: pressure

P = k T     (k is constant)

\frac{P}{T} = const.
 

so we can conclude that the if we changed the temperature of gas its pressure is changed accordingly:

\frac{P_1}{T_1} = \frac{P_2}{T_2}

If we doubled the temperature of a gas its pressure is doubled too.

T_2 = 2T_1

\frac{P_1}{T_1} = \frac{P_2}{2T_1}

2P_1 = P_2

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