When a system contains regions that differ in physical structure or chemical composition, an overall value can be assigned to its properties. Consider the system, system 1, shown below. It contains na molecules in state a and nb molecules in state b.

(a) Develop an expression for the extensive volume V1 in terms of na, nb, and the volumes of each homogeneous region Va and Vb.

(b) Develop an expression for the intensive molar volume v1 in terms of na, nb and the molar volumes of each homogeneous region va and vb.

(c) Generalize the result of part

(a) to come up with an expression for any extensive property K1 in terms of na, nb, and the extensive properties Ka and Kb.

(d) Generalize the result of part

(b) to come up with an expression for the intensive form of the property in part (c), k1, in terms of na, nb, and the intensive properties ka and kb.

Transcribed Image Text:

State a na + State b nb V = n System 1 no