Chemical Engineering Tutorials: Fundamentals of Partial Differentiation of the Exact Differential Equation

Wednesday, 31 December 2025

Fundamentals of Partial Differentiation of the Exact Differential Equation

Carrying out partial differentiation of the Exact Differential Equation of M and N with respect to z and y, respectively, results in:


dx is a perfect differential when the above equation is satisfied for any function x.

Similarly, if y = y(x, z) and z = z(x, y), then from these two relations, we have:



In terms of p, v and T, the following relation holds true:









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