Suppose we have two monoatomic gasses, neon and argon. We cool the neon gas to 200 K in a 5 m ^{3} room, while the argon gas it put into a 0.25 m ^{3} balloon and left outside, where the temperature is 27 ^{o}C. Assuming the room is at atmospheric pressure, 1x10 ^{5} Pa, if the balloon is brought into the room filled with argon and shrinks as it reaches equilibrium,

(a) What is the initial, average energy __per particle__ of each gas?

(b) What is the final, average energy __per particle__ of each gas?

(c) What is the final temperature of the room?