Question

define state function and state variable
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Answer 1

Explanation:

So can we say in other words that: "state variable" is something that we take as independent variable, while "state function" is something that depends on previously selected "state variables" where this dependence is given in the equation of state for the particular thermodynamic system.

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Answer 2

Explanation:

A state function is a property describes a particular state, without depending on the path taken to reach this state. In contrast, functions whose value depends on the path taken to get between two states are called path functions.

A state variable is one of the variables used to describe the state of a dynamical system. Each state variable corresponds to one of the coordinates of the underlying state space. An intuitive introduction to state variables is given in the idea of a dynamical system.