Document Type

Thesis - Open Access

Award Date


Degree Name

Master of Science (MS)


Mechanical Engineering


The science of thermodynamics deals mainly with the eight thermodynamical properties of substances (usually in gas or vapor state). The relation of P-V-T of a substance is usually represented by the equation of state which, in general, can be expressed in the form f(P,V,T)= 0. The practical application of the law of corresponding states is generally accomplished in two different ways, namely, the generalized compressibility charts and the generalized equations of state. The mathematical analysis of the law of corresponding states is to be treated in this study. The law of corresponding states was first proposed by Van Der Waals in 1891, therefore, it had almost as long a history as the Van Der Waals equation had. Since both heat and work are path functions, the determination of the amount of heat and work crossing the boundaries of a system should be based on the change of state of the working substance, and the known relation of thermodynamic properties defining the path through which the change of states takes place. There are many limitations to this study. Even the theoretical development of the law of corresponding states based on the quantum mechanics or the transport theory are not direct derivation of a generalized equation of state but merely a prediction of the existence of an equation involving only dimensionless terms.

Library of Congress Subject Headings



Includes bibliographical references




South Dakota State University