Thermodynamic Properties Involving Derivatives Using the Peng-Robinson Equation of State
Resumo
Entry in the "Class and Home Problems" series.
Mathematical manipulation of derivatives is a topic found in nearly every thermodynamics textbook. Most students spend considerable time during the first few weeks of their thermodynamics course learning to express these derivatives in terms of measurable quantities. Rarely, however, are they given an opportunity to calculate numerical values for these derivatives. This article discusses calculation of such properties using the Peng-Robinson equation of state, and application is made to a hydrocarbon mixture. Calculation of the three partial derivatives in P, V, and T is first made, then determination of the real fluid heat capacities, and finally, application is made to two useful thermodynamic properties-the sonic velocity and the Joule-Thompson coefficient.