The volume occupied by the gas increased by 20% and the pressure decreased by 40%.

The volume occupied by the gas increased by 20% and the pressure decreased by 40%. What is the final temperature if the initial temperature is 200 K?

For an ideal gas, the ratio will be true:
(p1 * V1) / T1 = (p2 * V2) / T2 = const, where p1 is the initial gas pressure, V1 is the initial gas volume, T1 is the initial gas temperature (T1 = 200 K), p2 is the final gas pressure (p2 = 1.2 p1), V2 is the final gas volume (V2 = 0.6V1), T2 is the final gas temperature (K).
Let us express and calculate the final gas temperature:
T2 = (p2 * V2 * T1) / (p1 * V1) = (1.2p1 * 0.6V1 * 200) / (p1 * V1) = 1.2 * 0.6 * 200 = 144 K.
Answer: The final gas temperature is 144 K.