[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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17/02/2022 1:35 pm
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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 cm^{3} to 300 cm^{3}. 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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17/02/2022 1:43 pm
v = 1.5
p_{1}v_{1}^{v} = p_{2}v_{2}^{v}
(200)(1200)^{1.5} = P_{2}(300)^{1.5}
P_{2} = 200[4]^{3/2} = 1600 kPa
W.D = \(\frac{p_2v_2  p_1v_1}{v1}\)
= \(\Big(\frac{480  240}{0.5}\Big)\)
= 480 J
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