Question

A sample of gas is in a rigid cylinder with a movable piston. The pressure of the gas is kept constant. If the Kelvin temperature of the gas is

doubled, the volume of the gas is
O 1.
2
halved
doubled
tripled
unchanged
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Answer 1

The volume will double, if the temperature of the gas is doubled as temperature and volume are directly proportional.

Answer 2

If the Kelvin temperature of the gas is doubled, the volume of the gas is doubled.

Step-by-step explanation:

To calculate the final volume of the system, we use the equation given by Charles' Law.

This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

`(V_1)/(T_1)=(V_2)/(T_2)` (at constnat pressure)

where,

`V_1\text{ and }T_1` are the initial volume and temperature of the gas.

`V_2\text{ and }T_2` are the final volume and temperature of the gas.

We are given:

`T_2=2T_1`

`V_2=?`

`(V_1)/(T_1)=(V_2)/(T_2)`

`(V_1)/(T_1)=(V_2)/(2T_1)`

`V_2=2V_1`

If the Kelvin temperature of the gas is doubled, the volume of the gas is doubled.