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Thermodynamics

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A The drawing refers to one mole of a monatomic ideal gas and shows a process that has four steps, two isobaric (A to B, C to D) and two isochoric (B to C, D to A). Complete the following table by calculating U, W, and Q (including the algebraic signs) for each of the four steps and for the whole process.

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This solution helps with a problem regarding thermodynamics. Step by step solution provided.

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P
(T=400K) (T = 800K)
2P A B

P (200K) D C (T=400K)

V 2V V

Process AB (Constant pressure expansion) : Work done in expansion from A to B = WAB = Pressure x Change in volume = 2P(2V - V) = 2PV ...........(1)

By ideal gas equation : PV = nRT = RT (as n = 1 mole)

For points A and B : PAVA = RTA or 2PV = RTA = 400R ........(2)

And PBVB = RTB or (2P)(2V) = 4PV = RTB = 800R ..........(3)

From (2) or (3) we get : PV = 200R

Substituting in (1) we get : WAB = 400R ...

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