Final answer:
The molecules of Gas A will mix with Gas B's when the barrier is removed, with warmer molecules slowing down and cooler ones speeding up, leading to a final temperature between 80 °C and 125 °C.
Step-by-step explanation:
When the solid barrier separating two gas samples at different temperatures is removed, the molecules of Gas A at 125 °C will collide and mix with the molecules of Gas B at 80 °C. Due to the energy exchange during collisions, the molecules of the warmer gas (Gas A) will slow down, while the molecules of the cooler gas (Gas B) will speed up. According to the principles of thermodynamics, the final temperature of the mixed gases will be between 80 °C and 125 °C, reaching a state of thermal equilibrium.