Work Done Through Multiple Processes Practice Problems

The PV diagram below shows that process followed by 0.820 mol of an ideal gas. If the internal energy rises by 2850 J, determine the heat that must be transferred into the gas during the process to cause the rise.

0.0230 mol of an ideal gas follows the process marked by JKL. Determine the least temperature of the gas and the point where it occurs.

An ideal gas in a container with a piston is taken through a two-step process. In the initial step, volume is kept constant at 0.800 m³ as the pressure is raised from 0.980 × 10⁵ Pa to 4.20 × 10⁵ Pa. In the subsequent step, the gas is compressed, keeping the pressure constant at 4.20 × 10⁵ Pa to a final volume of 0.450 m³. What is the total work done during this two-step process?

An ideal gas is treated through a two-step process. During the first step, the gas has a fixed volume of 0.500 m³ as its pressure is increased from 1.00 × 10⁵ Pa to 4.25 × 10⁵ Pa. In the second step, the volume is reduced to 0.325 m³ at a constant pressure of 4.25 × 10⁵ Pa. Sketch the entire process on a PV diagram.