One of the beauties of thermodynamics is that it provides interrelationships between various state variables and their derivatives so that information from one set of experiments can be used to predict the results of a completely different experiment. This is illustrated here. 

a. Show that

Thus, if the Joule-Thomson coefficient μ and the volumetric equation of state (in analytic or tabular form) are known for a fluid, C_P can be computed. Alternatively, if C_P and μ are known, (∂(V /T)/∂T)_P can be calculated, or if C_P and (∂(V /T)/∂T)_P are known, μ can be calculated. b. Show that

so that if μ and C_P are known functions of temperature at pressure P, and V is known at P and T₁, the specific volume at P and T₂ can be computed. 

Transcribed Image Text:

CP || T² (0(V/T) (ост rl ӘT P