A rigid adiabatic container of volume V is separated by an adiabatic partition into two parts. Part 1 of volume V 1 contains helium at T 1 and p 1 , whereas part 2 of volume 2V 1 contains helium at T...

A rigid adiabatic container of volume V is separated by an adiabatic partition into two parts. Part 1 of volume V₁
contains helium at T₁
and p₁, whereas part 2 of volume 2V₁
contains helium at T₂
and 2p₁. The partition is removed and the two parts of helium mix. Express the pressure p and the temperature T of helium at equilibrium in terms of p₁, V₁, T₁, and T₂.