Question: A gas is compressed at constant temperature (400 K) from P=1 bar to P=5 bar. The gas is described by the following equation of state

A gas is compressed at constant temperature (400 K) from P=1 bar to P=5 bar. The gas is described by the following equation of state

vP=RT+aP^3

With a = 0.0102667 L/atm^2 mol. The heat capacity at constant pressure of the ideal gas at 400K is 3.85 R.

a) Get an expression for (dU/dP)T in medible properties.

b) Find delta U for the process.

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