Question

an ideal gas is confined to a container with adjustable volume. the number of moles, n, and temperature, t, are constant. by what factor will the volume change if pressure increase by a factor of 5.1

Answer 1

The volume will decrease by a factor of 10/51.

Step-by-step explanation:

Hello,

In this case, since both moles and temperature remain constant, we can use the Boyle's law that relates the volume and pressure as an inversely proportional relationship:

`P_1V_1=P_2V_2`

Thus, since the pressure increases by a factor of 5.1 (statement), we have:

`P_2=5.1P_1`

Thus, the final volume is:

`V_2=(P_1V_1)/(P_2) =(P_1V_1)/(5.1P_1)\\\\V_2=(10)/(51)V_1`

It means that the volume will decrease by a factor of 10/51.

Regards.