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A theoretical model for a real (non-ideal) gas gives the following expressions for the
internal energy (U) and the pressure (P),
U (T,V)=aV^" +bVp² and P(T,V)=?aV3 +2bv*p²
-2/3
-5/3
3
where a and b are constants. Let V, and T, be the initial volume and initial temperature
respectively. If the gas expands adiabatically, the volume of the gas is proportional to

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