We know that $PV^{\gamma}=\rm constant $. There are also 2 more equations which relates $P$ & $T$ and $V$ & $R$. Is there any equation which relates all these 3 things like ideal gas equation? 

 Also does the adiabatic process obey the ideal gas equation? How can this be? How can $PV^{\gamma}=\rm constant$ and $PV=\rm constant$ be true at the same time?