# Thermal Fun!

**Classical Mechanics**Level 3

Find the minimum attainable pressure of an ideal gas in the process \(T={ T }_{ 0 }^{ }+\alpha { V }^{ 2 }\), where \({T}_{0}\) and \(\alpha\) are positive constants and \(V\) is the volume of one mole of gas.

If \({ P }_{ min }\) is in the form \(\delta R\sqrt { \alpha { T }_{ 0 } } \), find \(\delta\).

**R**is the Universal gas constant.