Final answer:
The volume of the gas at 100 degrees Celsius, under constant pressure, will be approximately 23.06 cubic feet, as derived from applying Charles's Law.
Step-by-step explanation:
The question involves Charles's Law, which states that at constant pressure the volume of a gas is directly proportional to its temperature in kelvins. For the given scenario, since the pressure is constant, the volume and temperature relationship can be expressed as V1/T1 = V2/T2, where V is the volume and T is the temperature. We will need to convert the Celsius temperature to Kelvin by adding 273 to each Celsius temperature, since the law applies to temperatures in kelvins.
From the given information, the initial state is V1 = 20 cubic feet and T1 = 50 + 273 = 323 K. When the temperature, T2, changes to 100 degrees Celsius, it becomes T2 = 100 + 273 = 373 K. Plugging the known values into the equation V1/T1 = V2/T2, we get:
20 / 323 = V2 / 373
Solving for V2:
V2 = (20 × 373) / 323
V2 = 23.06 cubic feet, approximately.
The volume of the gas when the temperature is 100 degrees Celsius, while keeping the pressure constant, will be about 23.06 cubic feet.