Answer: The final pressure of a gas is inversely proportional to the volume change and directly proportional to temperature change.
Explanation:
1) Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.
[tex]P\propto \frac{1}{V}[/tex] (At constant temperature and number of moles)
2) Charles' Law: This law states that volume is directly proportional to the temperature of the gas at constant pressure and number of moles.
[tex]V\propto T[/tex] (At constant pressure and number of moles)
The combined gas equation is,
[tex]\frac{P_1V_1}{T_1}=k[/tex]
Thus pressure and volume bear inverse relationship but volume and temperature bear direct relationship.