Although heat is a path function but heat absorbed by the system under certain specific conditions is independent of path. What are those conditions? Explain.

Answers (1)

The conditions in which heat becomes path independent are:

a) when the volume remains the same

\Delta V=0,so\; \Delta U=q+p\; \Delta V=q

As \Delta U is a state function, q is also a state function.

b) when the pressure remains the same

\Delta U=q-p\; \Delta V

So, q=p\; \Delta V+\Delta U=\Delta H which is a state function

So, at a constant volume and at constant pressure heat change is a state function because it is equal to change in internal energy and change in enthalpy respectively which are state functions.

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