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

Answer:

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

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:

$V_2=\frac{P_1V_1}{P_2} =\frac{P_1V_1}{5.1P_1}\\\\V_2=\frac{10}{51}V_1$

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

Regards.