Question

Perfect and Imperfect differentials​

Answer 1

Answer:

An inexact differential or imperfect differential is a type of differential used in thermodynamics to express changes in path dependent quantities. ... Inexact differentials are primarily used in calculations involving heat and work because they are path functions, not state functions.

Answer 2

The definition of the perfect and imperfect differentials are as follow -

Perfect differentials -

• In multivariate calculus, a differential is said to be perfect, as contrasted with an inexact differential, if it is of the form dQ, for some differentiable function Q.
• It is also called exact differentials.

Imperfect differentials -

• An imperfect differential is a type of differential used in thermodynamics to express changes in path-dependent quantities.
• It is also called inexact differentials.
• In imperfect differentials, values cannot be deduced by just knowing the initial and final values.