The pressure P and volume V of the gas in a cylinder of length 0.8 m and radius 0.2 m, with a movable piston, are related by PV1.4 = k, where k is a constant (Figure 14). When the piston is fully extended, the gas pressure is 2000 kilopascals (kPa; 1 kilopascal is 10³ newtons per square meter).

(a) Calculate k.
(b) The force on the piston is PA, where A is the piston’s area. Calculate the force as a function of the length x of the column of gas.
(c) Calculate the work required to compress the gas column from 0.8 to 0.5 m.

Transcribed Image Text:

0 x 0.2