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Is specific heat capacity state function or a path function?

In thermodynamics, is specifc heat capacity of a substance considered a state function or a path function?

$$\color{red}{\text{Rebuttal in favour of state function}}$$:-
Specific heat capacity is constant for a particular substance at a particular physical state and remains invariant until transition state (melting, evaporating, etc) is achieved.

$$\color{blue}{\text{Rebuttal in favour of path function}}$$:-
Any type of heat is a path function and extensive property because it depends on path followed by system like flow of heat is unidirectional in nature spontaneously as it flows from high temperatures to low temperatures.

Definitions used:-

• Specific heat capacity of a substance is the heat required to raise the temperature of $$1$$ gram of a substance by $$1 K$$.

• State function is a thermodynamic function which is independent of the path taken anddepends only on the initial and final values . For example, displacement.

• Path function is a thermodynamic function which is dependent of the path taken. For example, distance travelled.

Note by Ashish Siva
5 months, 4 weeks ago