Final answer:
Using Charles's law, which states that the volume of a gas is directly proportional to its temperature at constant pressure if the initial temperature is 300K and the volume doubles, the final temperature would be 600K.
Step-by-step explanation:
The subject of the question is Physics, and it pertains to the behavior of gases under different temperature conditions, specifically relating to Charles's law. Charles's law states that at constant pressure, the volume of a gas is directly proportional to its temperature measured in Kelvin. Given that a sample of gas occupies a certain volume at 300K, and we want to find the temperature at which its volume will be doubled, we can use Charles's law to determine this.
V1 / T1 = V2 / T2 where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature. If the volume doubles (V2 = 2 * V1), then the temperature must also double for the volume to stay directly proportional (T2 = 2 * T1). So, if the initial temperature (T1) is 300K, then the final temperature (T2) when the volume doubles (V2 = 2 * V1) would be 600K, assuming the pressure is constant.