1. The problem statement, all variables and given/known data One mole of an ideal gas is contained in a cylinder with a movable piston. The initial pressure, volume, and temperature are P, V, and T, 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 two times the initial pressure · isovolumetric process in which the final pressure is two times the initial pressure Determine the work done on the gas for each process. (Use any variable or symbol stated above as necessary.): isobaric compression: Isothermal Compression: Isovolumetric compression: in In operational terms, match each process with its description of how to carry out the process. isothermal isovolumetric isobaric A. Put the cylinder into a refrigerator at absolute temperature T/2. Let the piston move freely as the gas cools. B. With the gas in a constant-temperature bath at T, slowly push the piston in. C. Lock the piston in place and hold the cylinder over a hotplate at 2T. 2. Relevant equations 3. The attempt at a solution For Isobaric compression: Constant pressure , also gas is being compressed so W is positive so P(1/2)V.... since Vf is half Vi for Isothermal compression: gas is not under Cp. so evaluate the integral dW=-Pdv W=-nRTln(1/2)P and finally Isovolumetric compression: w=0. for part b matching the process to the right statement. Isothermal:B IsoVolumetric:C IsoBaric: A is this correct?