A gas with adiabatic exponent y is compressed adiabatically from aninitial state (P₁, V₁) to final state (P₁, V₁). (a) Show that the work done inthis process isY-WPiVi Vi=-1Y-1Vf(b) Evaluate the result numerically for one mole of helium gas initiallyat P= 1.0 atm and T = 300 K compressed to half its initial volume.(c) Compute the work done in an isothermal compression from the sameinitial point to half the initial volume. Explain the difference betweenthe numerical results for work done in adiabatic and isothermalcompression.

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