Final answer:
To solve for the final volume of the gas, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature. We can plug in the given values and solve for the final volume.
Step-by-step explanation:
To solve this problem, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming constant pressure and amount of gas. The equation for Charles's Law is V1/T1 = V2/T2, where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature.
In this case, the initial volume is 300.0 mL and the initial temperature is 435 K. The final temperature is 290 K, and we need to find the final volume. Plugging the values into the equation, we get V2 = (V1/T1) * T2 = (300.0 mL/435 K) * 290 K = 199.77 mL, or approximately 200 mL.