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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.

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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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