Final answer:
To determine the temperature at which the volume of a gas doubles compared to its volume at 10°C, Charles's law is applied where the volume of a gas is directly proportional to its temperature in Kelvin when pressure is constant.
Step-by-step explanation:
The student is asking about a concept in Physics, specifically related to Charles's law, which is a gas law where the volume of a gas is directly proportional to its temperature when pressure is kept constant. To find the temperature at which the volume of a given mass of gas doubles compared to its volume at 10°C, one would need to use Charles's law formula: V1/T1 = V2/T2, where V1 is the initial volume, V2 is the final volume, T1 is the initial temperature, and T2 is the final temperature.
Since the volume is doubling, V2 = 2 * V1. The initial temperature is given in degrees Celsius, so it must first be converted to Kelvin by adding 273.15, resulting in T1 = 283.15 K. Substituting the values into the formula and solving for T2 gives us the final temperature in Kelvin.
According to Gay-Lussac's law, for a given amount of gas held at constant volume, the pressure is proportional to the absolute temperature. Mathematically, if the temperature doubles, the pressure doubles. Therefore, if the volume of a given mass of gas is to become double as compared to its volume at 10 degrees Celsius, the temperature must also double.