Question

An air pump has a cylinder 0.270 m long with a movable piston. The pump is used to compress air from the atmosphere (at absolute pressure 1.01 × 105 Pa ) into a very large tank at a pressure of 5.40 × 105 Pa. (For air, CV = 20.79  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. Note: This question is asking for distance the piston travels down the cylinder, not the final length of the cylinder. Express your answer with the appropriate units.

B. If the air is taken into the pump at 28.0 ∘C, what is the temperature of the compressed air?

C. How much work does the pump do in putting 25.0 mol of air into the tank? Express your answer with the appropriate units.

Answer 1