Final answer:
The final volume of the gas when cooled from 280K to 250K, with constant pressure, is found using Charles's Law. The calculation shows that the final volume is approximately 4.0 liters.
Step-by-step explanation:
The question asks for the final volume of a gas that cools from 280K to 250K while keeping the pressure constant. To find the final volume, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature when the pressure is held constant. The formula is V1/T1 = V2/T2, where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature.
Given the initial volume (V1) of 4.5 liters and initial temperature (T1) of 280K, we want to find the final volume (V2) when the temperature is 250K (T2). Plugging in the values, we get 4.5 liters / 280K = V2 / 250K. To solve for V2, we multiply both sides of the equation by 250K, resulting in V2 = (4.5 liters × 250K) / 280K which equals approximately 4.0 liters. Therefore, the correct answer is B. 4.0 liters.