\(P{V^\gamma } = k\)

\(\therefore \,\,\,P{V^{\frac{3}{2}}} = k\)

\(\log \,P + \frac{3}{2}\log V = \log \,k\)

\(\therefore \,\,\frac{{\Delta P}}{P} + \frac{3}{2}\frac{{\Delta V}}{V} = 0\)

\(\therefore \,\,\,\frac{{\Delta V}}{V} =  - \frac{2}{3}\frac{{\Delta P}}{P}\)

\(\therefore \,\,\frac{{\Delta V}}{V} \times 100 =  - \frac{2}{3}\left( {\frac{{\Delta P}}{P} \times 100} \right) =  - \frac{2}{3} \times \frac{2}{3} =  - \frac{4}{9}\% \)

ઋણ ચિહ્‌ન કદમાં ઘટાડો દર્શાવે છે.

આથી કદમાં થતો ઘટાડો  \(\frac{4}{9}\%\)  થશે.