[PCherm1213]

I have been stuck on the following problem for four days, can someone please go over this step by step.  Our professor said the following problem is a good indicator of the exam-type questions.  Thanks for any help offered.

Consider a gas that obeys the following equation of state: pV = nRT + nBp , where B = 37.2 cm³ mol−1 is a constant. A sample of n = 5.0mol of this gas is subjected to the process

( T₁ = 672K, p₁ = 10 atm) −−(irreversible)−−> ( T₂ = 328K, p₂ = 7.5 atm)

The molar heat capacity at constant pressure of the gas has the following dependence with temperature: C_p,m(T) = A₁ + A₂T , where the parameters have the values A₁ = 45.0 J K⁻¹ mol⁻¹ and A2 = 0.01 J K⁻² mol⁻¹.  Calculate U, H and S for the process, and make an attempt to calculate A and G.

[Yggdrasil]

U, H, S, A, and G are state functions which means that ΔU, ΔH, etc. are all path independent.  Therefore, a reversible path will have the same ΔU, ΔH, etc. as an irreversible path with the same starting and ending points.  So, in order to calculate these values for the irreversible process, all you need to do is to build a reversible path between the two states, then calculate these quantities for the reversible path.