To the right and to the left of the piston there is air of the same mass; the air temperature on the left

To the right and to the left of the piston there is air of the same mass; the air temperature on the left is higher than on the right. In which direction the piston will move if it is released.

T> Tp.
For air, the Mendeleev – Clapeyron equation is valid: P * V = ν * R * T. Where P is the gas pressure, V is the volume of the gas, ν is the amount of substance, R is the universal gas constant, T is the absolute temperature of the gas.
For a constant mass of gas, the combined gas law Pl * Vl / Tl = Pp * Vp / Tp is valid.
Since by the condition Tl> Tp, the preservation of the equality Pp * Vp <Pl * Vl. The pressure on the right is less than the pressure on the left Pl. The piston will move from left to right.
Answer: The piston will move from left to right.