An air pump has a cylinder 0.290 mm long with a movable piston. The pump is used to compress air from the atmosphere (at absolute pressure 1.01 x 10^5 Pa) into a very large tank at4.20 x 10^5 Pa gauge pressure. (For air, Cv = 20.8J/mol. K.) a) The piston begins the compression stroke at the openend of the cylinder. How far down the length of the cylinderhas the piston moved when air first begins to flow from thecylinder into the tank?
Assume that the compression is adiabatic.
b) If the air is taken into the pump at 27 degree C, what is the temperature of the compressed air?
c) How much work does the pump do in putting 20.0 mol ofair into the tank?