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[Solved] 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.

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A sample of gas with γ = 1.5 is taken through an adiabatic process in which the volume is compressed from 1200 cm3 to 300 cm3. If the initial pressure is 200 kPa. The absolute value of the work done by the gas in the process = _____J.

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v = 1.5

p1v1v = p2v2v

(200)(1200)1.5 = P2(300)1.5

P2 = 200[4]3/2 = 1600 kPa

|W.D| = \(\frac{p_2v_2 - p_1v_1}{v-1}\)

= \(\Big(\frac{480 - 240}{0.5}\Big)\)

= 480 J

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