Final answer:
To calculate the final volume of a gas at constant pressure when the temperature changes, you use Charles's Law. The final volume is found by multiplying the initial volume by the ratio of the final temperature to the initial temperature. The result for the given temperatures is approximately 5.05 L.
Step-by-step explanation:
The question you've asked relates to the behavior of gases and their properties under changes in temperature at constant pressure, known as Charles's Law. According to Charles's Law, V1/T1 = V2/T2, where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature respectively. In this case, the initial volume (V1) is 3.91 L and the initial temperature (T1) is 298.15 K. The final temperature (T2) is 385.15 K. To calculate the final volume (V2), we can rearrange the equation to V2 = V1 * (T2/T1).
Therefore, the final volume V2 is calculated as follows:
V2 = 3.91 L * (385.15 K / 298.15 K)
V2 = 3.91 L * 1.292
V2 ≈ 5.05 L
This result shows that the final volume of the gas after the temperature increase, while keeping the pressure constant, is approximately 5.05 L.