PV Diagrams & Work Practice Problems

An ideal gas follows the process shown in the PV diagram below.  The gas absorbs 960 J of heat to triple its pressure during the process. What is the relationship of internal energy at point X to internal energy at point Y. Explain your reasoning.

You are provided with the following PV diagram. The pressure is absolute pressure. The temperature at Y is 5 times the temperature at X. When moving from Y to X, does the gas gain or lose heat? Give a reason for your choice.

A container is filled with 1.8 moles of an ideal gas. How much work is done by the gas as it is heated from 10°C to 110°C while keeping the pressure constant?

A container is filled with 1.8 moles of an ideal gas. The gas is heated from 18°C to 90°C while keeping the pressure constant. Which diagram qualitatively represents the PV diagram for this process?

A gas is compressed and the work done on the gas is -5000 J as illustrated in the diagram below. What is the pressure p_a of the gas?

The process shown in the diagram below occurs on a gas. During this process, the gas has 70 J of work performed on it. Determine the value of V in liters.

In a 𝑃𝑉 diagram, sketch the process the helium gas undergoes when it is initially at 1.00 atm and 1.00 liter, then compressed at constant pressure until its volume is halved, followed by an isothermal expansion back to its original volume.

A sealed container holds 3.0 liters of an ideal gas at an initial pressure of 1.5 atm. The gas undergoes the following thermodynamic process:

i) The gas is cooled at a constant pressure until its volume decreases to 1.5 liters.

ii) The gas is then expanded isothermally (at a constant temperature) back to its original volume of 3.0 liters.

iii) Finally, the pressure is increased at constant volume until the original pressure of 1.5 atm is reached.

Calculate how much work is done by the 2.0 L helium gas when it is initially at a pressure of 5.0 atm (gauge pressure). Then, the gas undergoes a three-step process as follows:

i. The gas is allowed to expand isothermally until the pressure drops to 1.5 atm.

ii. The gas is then compressed at constant pressure back to its initial volume.

iii. Finally, the gas is heated at constant volume until it reaches its original pressure.