Final answer:
According to Charles's Law, the volume of a gas is directly proportional to its temperature, assuming pressure and the number of moles of the gas are held constant. Using the equation V1/T1 = V2/T2, we can calculate the final volume of the balloon after heating.
Step-by-step explanation:
According to Charles's Law, the volume of a gas is directly proportional to its temperature, as long as pressure and the number of moles of gas are held constant. To find the volume of the balloon after heating, we can use the equation 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 that the initial volume of the balloon was 1.75 Liters (V1) and the initial temperature was 250K (T1), and the final temperature is 298K (T2), we can plug in the values into the equation to find the final volume (V2).
Using the equation, we have V1/T1 = V2/T2, so 1.75/250 = V2/298. Solving for V2, we get V2 = (1.75 * 298) / 250 = 2.082 Liters.