# In operational terms, describe how to carry out each process isobaric compression Put the cylinder into a bath at temperature T. Slowly push the piston in. Place the cylinder on a hotplate at temperature 2T. Let the piston move freely as the gas heats. Place the cylinder on a hotplate at temperature 2T. Hold the piston in place. Put the cylinder into a refrigerator at temperature T/2. Hold the piston in place. as the gas cools Put the cylinder into a refrigerator at temperature T/2. Let the piston move freely isothermal compression Put the cylinder into a refrigerator at temperature T/4. Let the piston move freely as the gas cools Put the cylinder into a bath at temperature T. Slowly pull the piston out. Put the cylinder into a bath at temperature T. Slowly push the piston in. Place the cylinder on a hotplate at temperature 4T. Let the piston move freely as the gas heats. Put the cylinder into a refrigerator at temperature T/4. Hold the piston in place. isovolumetric process Place the cylinder on a hotplate at temperature 3T. Let the piston move freely as the gas heats. Put the cylinder into a refrigerator at temperature T/3. Hold the piston in place. Place the cylinder on a hotplate at temperature 3T. Hold the piston in place Put the cylinder into a bath at temperature T. Slowly push the piston in. Put the cylinder into a refrigerator at temperature T/3. Let the piston move freely as the gas cools Identify each process on the PV diagram below Process A is isobaric. Process B is isovolumetric. Process C is isothermal. Process A is isothermal. Process B is isobaric. Process C is isovolumetric. Process A is isovolumetric. Process B is isobaric. Process C is isothermal Process A is isobaric. Process B is isothermal. Process C is isovolumetric. Process A is isovolumetric. Process B is isothermal. Process C is isobaric.

Question

One mole of an ideal gas is contained in a cylinder with a movable piston. The initial pressure, volume, and temperature are PiVi, and Ti, respectively. Consider each of the following processes:

· isobaric compression in which the final volume is one-half the initial volume
· isothermal compression in which the final pressure is four times the initial pressure
· isovolumetric process in which the final pressure is three times the initial pressure

Find the work done on the gas in each process. (Use the following as necessary: Pi and Vi.)

 isobaric compression: W = isothermal compression: W = isovolumetric process: W =