An Air pomp has a cylinder 0.250 m long with a movable piston. The pump is used to compress air from the atmosphere (at absolute pressure 1.01 X 103 Pa) into a very large tank at 4.20 X 105 Pa gauge pressure. (For air, Cv = 20.8 J/mol· K)
(a) The piston begins the compression stroke at the open end of the cylinder. How far down the length of the cylinder has the piston moved when air first begins to flow from the cylinder into the tank? Assume that the compression is adiabatic.
(b) If the air is taken into the pump at27.0oC, what is the temperature of the compressed air?
(c) How much work does the pump do in putting 20.0 mol of air into the tank?