# Thermal Fun!

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.
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