An adiabatic cylindrical tube having a volume V₀ is separated into two parts by a frictionless adiabatic separator. Initially, the separator is held in the middle. The left part is filled with an ideal gas at pressure p₁ and temperature T₁ , while the right part contains another ideal gas at pressure p₂ and temperature T₂ . The specific heat ratio, C_p / C_V = , is identical for both gases. The separator is subsequen

Step-by-step solution

The cylindrical tube is given to be adiabatic, which means no heat can be exchanged between the gas and the surroundings through the outer walls. The separator dividing the tube into two parts is also specified as adiabatic, meaning no heat can flow between the gas in the left part and the gas in the right part. Since the gas in the left part is completely enclosed by adiabatic boundaries, it is perfectly thermally insulated. By definition, in an adiabatic process, the heat exchange is zero. Even though work is don