Details

The final temperatures of the constant-pressure and constant-volume systems are found using:

,

where is the change in internal energy, is the heat added or removed and is work, all in kJ/mol.

For the constant-volume process: .

For the constant-pressure process: or ,

so ,

and so for a constant-pressure process.

Here is pressure (Pa), is molar volume (), is the ideal gas constant, is the temperature in K and is the enthalpy change (kJ/mol).

For both processes:

,

,

,

,

where and are the constant-volume and constant-pressure heat capacities (kJ/[mol K]).

The ideal gas law is used to calculate the final volume for the constant-pressure process and the final pressure for the constant-volume process:

for constant pressure,

for constant volume.

The screencast video at [1] explains how to use this Demonstration.

Reference

[1] Temperature Changes in an Ideal Gas [Video]. (Sep 1, 2016) www.colorado.edu/learncheme/thermodynamics/TemperatureChangesinIdealGas.xhtml.