Question

According to the combined gas law, the pressure exerted by a gas is:

Answer 1

Answer : The correct option is, (d) inversely proportional to volume and directly proportional to the kelvin temperature

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

$P\propto \frac{1}{V}$

Charles' Law : It is defined as the volume of the gas is directly proportional to the temperature of the gas at constant pressure and number of moles.

$V\propto T$

Gay-Lussac's Law : It is defined as the pressure of the gas is directly proportional to the temperature of the gas at constant volume and number of moles.

$P\propto T$

Combined gas law : It is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

$\frac{PV}{T}=K$

or,

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

From the above information we conclude that the pressure exerted by a gas is inversely proportional to volume and directly proportional to the kelvin temperature.

Hence, the correct option is, (d)