1\left|Q \right|=\left|\Delta U \right|
Q=-\Delta U+W
W =2\Delta U = 2 n.C_{v}.dt
p.dV = 2 n.C_{v}.dt
\frac{nRT}{V}.dV = 2 n\frac{R}{\gamma -1}dT
\int \frac{1}{V}.dV = \int \frac{2}{(\gamma -1)T}dT
integrating
ln \frac{V_{2}}{V_{1}} = ln (\frac{T_{2}}{T_{1}}^{\frac{2}{\gamma -1}})
\frac{V}{T^{\frac{2}{\gamma -1}}}= consatant
