Ideal gas. Consider an ideal gas, i.e. a gas that satisfies the following three conditions:i) pV = nRT,JEii)ᎧᏙ= 0, andn,Tiii) for a reversible adiabatic process pV=const with y = cp/cv. Assume that y is temperature independent. Expansion of an ideal gas. An ideal gas sample contains n moles, initially has a volume Vįand a temperature Ti, and at the end of the expansion has a volume Vƒ > Vį. We will study threeprocesses. Process I is an adiabatic expansion against vacuum: the gas initially is contained in one partof an insulated container, with the other part being empty, and the partition separating the two parts issuddenly removed, allowing the gas to expand against zero pressure. Process II is a reversible isothermalexpansion. Process III is a reversible adiabatic expansion. For each of the three processes, determine theheat Qabsorbed by the gas, the work W done on the gas, and the changes AE, AT and AS in the energy,temperature and entropy. Write all results in terms of n, R, V₁, Vf, and T₁. Compare the results for thethree processes, and indicate which quantities are the same for each pair of processes (I and II; II and III;I and III), or what is the direction of their inequality if they are different, justifying those equalities andinequalities in terms of basic physical concepts.

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Answered: Expansion of an ideal gas. An ideal gas…

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