1) (20 pts) A container that can be cooled or heated, with volume variable using a piston, has an initial volume of 55 liters and contains He gas at pressure of 120 atm and temperature 20 C. The atomic mass of helium is 4 g/ mol. We perform three separate thermodynamic processes on the gas: (1) isothermal compression to double the pressure, (2) isobaric expansion back to its initial volume, (3) isochoric heating back to its initial state. I a) Calculate the total number of atoms, number of moles and the total mass. b) Sketch all three thermodynamic processes in a pV diagram c) Calculate the volume and temperature after step # 1 d) Calculate pressure and temperature after step # 2 e) Calculate the total work performed in the full cycle and the total heat flowing in one full cycle. f) Is it a heat engine or a heat pump? Explain your reasoning. What is the efficiency