One mole of a gas is compressed at a constant temperature of 400 K from P =

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One mole of a gas is compressed at a constant temperature of 400 K from P = 1 bar to P = 5 bar. The gas is known to follow the equation of state:V=RT/P + aPwhere a = 0.01 L/bar2 · mol. The ideal gas heat capacity at T = 400 K is CP*= 3.85R.

A. Demonstrate that the heat capacity of this gas is independent of pressure.

B. Derive an expression for (dU/dP)T as a function of measurable properties.

C. Find ΔU for the gas in this process.

D. Find ΔS for the gas in this process

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