At thermodynamics process of uncontrolled change satisfying the equation \(Q=W=0\), is \([Q=\) heat supplied, \(W=\) work done \(]\)

i. Free expansions are adiabatic expansions thus there is no exchange of heat between a system and its environment.
ii. Also, there is no work done on the system or by the system. \(Q=W=0\), and according to the first law of thermodynamics,
\(\Delta U=0\)
iii. For example, when a balloon is ruptured suddenly, or a tire is suddenly punctured, the air inside rushes out rapidly but there is no displacement of a piston or any other surface.
iv. A free expansion is different than other thermodynamic processes because it is an uncontrolled change. It is an instantaneous change and the system is not in thermodynamic equilibrium.
v. A free expansion cannot be plotted on a \(\mathrm{p}-\mathrm{V}\) diagram. Only its initial and the final state can be plotted.