In: Mechanical Engineering
Hydrogen, acting as a van der Waals gas (EOS shown below), is compressed in an isothermal closed system process from 6.236m3/kg to 0.629m3/kg at 300K. What is the change in specific entropy of the gas? (use the entropy change relation in chapter 12)
P = RT/( v − b) − a/( v^2) (1)
a = 27R^2Tcrit^2/(64Pcrit) (2)
b = RTcrit/ (8Pcrit) (3)
Following example 12-7 in the book the change in internal energy of a van der Waals gas for an isothermal process can be derived (the result is shown below). Using the definition of boundary work (wb = R P dv) and conservation of energy what is the amount of heat which is rejected by the compression process?
u2 − u1 = a (1/v1 − 1/v2)