Final answer:
To find the new volume of the gas, we can use the combined gas law equation.
Step-by-step explanation:
To solve this problem, we can use the combined gas law, which relates the pressure, volume and temperature of a gas. The equation is given by:
P1V1/T1 = P2V2/T2
Plugging in the given values: P1 = 200 K, V1 = 50 mL, T1 = 400 K, and solving for V2:
(200 K)(50 mL)/(400 K) = V2
V2 = 25 mL
Therefore, the new volume of the gas is 25 mL.