Let’s say we have a 1 mol system in a state A (Pa,Va,Ta are given) and we take it to a state B(Pb,Vb are given) . We want to know what’s the maximum work we can give to a reversible work source. Considering the process is carried out attached to a 150 K heat source, the only data available is this: 1. equation of adiabatic reversible curve 2. Cp (heat capacity at a given constant pressure (Pa ) 3. Alpha (expansion coefficient at a given constant pressure (Pa ) I’ve translated the problem into this: find A Helmholtz free energy change between points A and B. However I don’t know how to get dF=-SdT-PdV from the experimental coefficients mentioned above. I’d appreciate your help very much.
Just a hint is enough. I don't have any sample problems nor thermo books so I don't know where to start from