question_answer

If \[\mathbf{PV=RT}\] is valid for all types of thermodynamically processes, what do the relations \[\mathbf{PV = a}\] constant and\[\mathbf{P}{{\mathbf{V}}^{\gamma }}=\text{ }\mathbf{a}\]  constant, signify?

Answer:

                The relations \[PV=\text{ a}\] constant and\[P{{V}^{\gamma }}=a\]  constant, are the relations between pressure and volume in the isothermal and adiabatic processes respectively. They are derived from the equation \[PV\text{ }=\text{ }RT\].