Gas Law III - The Pressure Law

(Also known as Gay-Lussac’s Law)

At a constant volume, experiments show that the pressure and absolute temperature of a gas are directly proportional.

$p \propto T$

Where,

$p$ - pressure of the gas

$T$ - temperature of the gas

Using this,

$\frac{p}{T} = c o n s t a n t$

Q 1

. A gas is held at constant volume. Initially it exerts a pressure of

100 P a

at a temperature of

35 K

. The temperature is increased until the pressure exterted by the gas is

1000 P a

. Find the final temperature of the gas.

Q 2

. A gas is held at constant volume. Initially it exerts a pressure of

3000 P a

at a temperature of

100^{\circ} C

. The pressure is increased until the temperature of the gas is

2000^{\circ}

. Find the final pressure exerted by the gas.