Final answer:
The gas that could obey the equation TV^(0.4) = constant is SO₂ option 2.
Step-by-step explanation:
An adiabatic process is a process where no heat is added or removed from the system.
For an adiabatic process, the gas obeys the equation TV^(0.4) = constant.
To determine which gas could obey this equation, we must look at the value of the constant γ, which depends on the gas.
For helium (He), γ is approximately 5/3, for SO₂ it is 7/5, for nitrogen (N) it is 5/3, and for NH₃ it is also 5/3.
Therefore, the gas that could obey the equation TV^(0.4) = constant is (2) SO₂.