**State Functions or State Variables** are the physical
quantity having a definite value at a particular (present state) state and
value is independent from the fact how the system achieved that state.

**Mathematical Condition for a function to be a state function:-**

There are three conditions that must be satisfied
simultaneously for a function to be state function.

**(i)**If ∆φ is a state function

It means change in ∮
depends only on end states and not on the path which it followed during the process.

**(ii)**If ∆φ is a state function

It implies, in
cyclic integral as the end states are same, so ∆φ value will be zero.

**(iii)**If ∆φ = f(x, y) is a state function, Euler's reciprocity theorem must be satisfied.

**If**

**∮**

**dz=0 then, are we sure that z = 0 state function ?**

**"Change in state function (z) is fixed in between two states so ∆z is also**

**a state function example ∆P,∆T,∆V,∆H= state function is a wrong**

**statement"**

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