A sample of gas with γ = 1 . 5 is taken through an adiabatic process in which the volume is compressed from 1200 cm 3 to 300 cm 3 . If the initial pressure is 200 kPa . The absolute value of the workdone by the gas in the process = ________ J .

Step-by-step solution

V i = 1200 × 10 - 6   m 3 ,   P i = 200   KPa V f = 300 × 10 - 6   m 3 ,   P f = ? γ = 1 . 5 P i V i γ = P f V f γ 200 × 10 3 1200 × 10 - 6 300 × 10 - 6 γ = P f P f = 200 × 10 3 × 4 3 / 2 = 200 × 10 3 × 8 = 1600 × 10 3 = 16 × 10 5   Pa   W = P i V i - P f V f γ - 1   W = 2 × 10 5 × 1200 × 10 - 6 - 16 × 10 5 × 300 × 10 - 6 1 . 5 - 1 = 240 - 480 0 . 5 = - 240 × 2 =