Question

10

The absolute temperature of a gas is increased four times while maintaining a constant volume. What happens to the
pressure of the gas?
O It decreases by a factor of four.
OIt increases by a factor of four.
O It decreases by a factor of eight.
O It increases by a factor of eight.

Answer 1

It increases by a factor of four.

Step-by-step explanation:

We can use the combined gas law
`P_1V_1/T_1 = P_2V_2/T_2`.

Based on the question, we're looking for
`P_2`. The formula rewritten for
`P_2`:

`P_2 =P_1V_1T_2/V_2T_1`.

We know the volume stays constant, so
`V_1/V_2 = 1.` Our new formula:

`P_2=P_1T_2/T_1`.

We know that
`T_2 = 4T_1` so plugging that into the equation gives us:

`P_2=P_14T_1/T_1=4P_1`.

Therefore, the pressure of the gas increases by a factor of four.