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 workd

Question

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 .

TestHub · Accepted Answer

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 = - 480 J | W | = 480 J

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