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Q. Which of the following are not state functions?
I. $\Delta\,S$
II. $q$
III. $W$
IV. $H -TS$

Thermodynamics

Solution:

State function or state variables are those which depend only on the state of the system and not on how the state was reached
$H-TS=G\}$ (free energy)
$\Delta\,S \} $ State function
$w \to$ work done, $q \to$ amount of heat
$w$ and $q$ does not depend upon the state of the system