2m³ volume of a gas at a pressure of 4 × 10⁵ Nm⁻² is compressed adiabatically so that its volume becomes 0.5m³. Find the new pressure. Compare this with the pressure that would result if the compression was isothermal. Calculate work done in each process. γ = 1.4.
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ΔU=Q+W
ΔU=Q+PΔV
∴ΔU=150+100(2−1)
∴ΔU=250
As the value is positive, internal energy of the gas increases by 250 J .
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