Question

Which of these statements describes this mathematical equation?

The final pressure of a gas is directly proportional to volume and temperature change.
The final pressure of a gas is directly proportional to volume change and inversely proportional to temperature change.
The final pressure of a gas is inversely proportional to the volume change and directly proportional to temperature change.
none of the above

Answer 1

The answer is A.)The final pressure of a gas is directly proportional to volume and temperature change.

Answer 2

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.

`P\propto (1)/(V)` (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.

`V\propto T` (At constant pressure and number of moles)

The combined gas equation is,

`(P_1V_1)/(T_1)=k`

Thus pressure and volume bear inverse relationship but volume and temperature bear direct relationship.