# Problem: Suppose you have a fixed amount of an ideal gas at a constant volume.If the pressure of the gas is doubled while the volume is held constant, what happens to its temperature? [Section 10.4]

###### FREE Expert Solution

We’re asked to determine what happens to the temperature of a fixed amount of an ideal gas at a constant volume when its pressure is doubled.

Recall that the ideal gas law is:

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}$

The pressure and temperature of a gas are related to the number of moles, gas constant and temperatureThe value nR/V is constant:

$\overline{)\frac{\mathbf{P}}{\mathbf{T}}{\mathbf{=}}\frac{\mathbf{nR}}{\mathbf{V}}}$

###### Problem Details

Suppose you have a fixed amount of an ideal gas at a constant volume.

If the pressure of the gas is doubled while the volume is held constant, what happens to its temperature? [Section 10.4]