Final answer:
Using Charles's Law, the final volume of the gas can be calculated after the temperature decreases from 120 K to 80 K, given that the pressure remains constant.
Step-by-step explanation:
The question is about determining the final volume of a gas after a decrease in temperature while keeping the pressure constant. According to Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure is held constant, we can use the formula V1/T1 = V2/T2 to solve for the new volume (V2). In this instance, the initial temperature (T1) is 120 K and the initial volume (V1) is 0.5 L, while the final temperature (T2) is 80 K. Keeping the pressure constant and rearranging the formula to solve for V2 gives us V2 = (V1 × T2) / T1. After calculation, the final volume (V2) can be determined.