For the same conditions as in Problem 4.27, determine the work done if the process is polytropic

Question:

For the same conditions as in Problem 4.27, determine the work done if the process is polytropic with n = 1.4 (i.e., PV^1.4 = constant).

Data from in Problem 4.27

A gas is trapped in a cylinder–piston arrangement as shown in the sketch. The initial pressure and volume are 13,789.5 Pa and 0.02832m³, respectively. Determine the work (kJ) assuming that the volume is increased to 0.08496m³ in a constant-pressure process.