When a system contains regions different in physical structure or chemical composition, an overall value can be assigned to the properties of the system. consider system 1 (which is a mixture of the two components) below containing 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 , va , and vb (vi is a total volume of species i). b. develop an expression using mole fractions for the intensive molar volume, v1 , in terms of na , nb , va , and vb (molar volumes of each homogeneous region). c. generalize the expression found in part (a) for any extensive property, k1 , in terms of na , nb , ka , and kb . d. generalize the expression using mole fractions found in part (b) for any intensive property.