\(\therefore \,\,{\text{P}}{\left( {\frac{{\mu {\text{RT}}}}{{\text{P}}}} \right)^\gamma }\) અચળ 

\(\therefore \,\,\,{{\text{P}}^{{\text{1 - }}\gamma }}{T^\gamma } = \)  અચળ 

\(\therefore \,{{\text{P}}^{{\text{1 - }}\gamma }} = \,\,\frac{{અચળ}}{T^\gamma }\)

\(\,\therefore \,\,\,{{\text{P}}^{{\text{1 - }}\gamma }} = {T^{ - \gamma }}\) (અચળ )

\(\therefore \,\,{\text{P}} = \)(અચળ )\({{\text{T}}^{{\text{ - }}\gamma \left( {\frac{1}{{1 - \gamma }}} \right)}}\)

\(\therefore \,\,\,P\,\, \propto \,\,{T^{\left( {\frac{\gamma }{{\gamma  - 1}}} \right)}}\) પણ  \({\text{P}}\, \propto \,{T^c}\) આપેલ છે

અચળાંક \({\text{c}} = \frac{\gamma }{{\gamma  - 1}}\,\)  એક- પરમાણ્વિય વાયુ માટે,\(\gamma  = \frac{5}{3}\)

\(\therefore \,\,\,c = \frac{{5/3}}{{(5/3) - 1}} = \frac{{5/3}}{{2/3}} = \frac{5}{2}\)