Final answer:
When the temperature of a gas in a balloon is increased from 250K to 298K, and assuming constant pressure and amount of gas, the final volume of the balloon is calculated using Charles's Law, resulting in a new volume of 2.086 liters.
Step-by-step explanation:
The temperature of a gas inside a balloon is increased from 250K to 298K. To find the volume of the balloon after heating, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure and the amount of gas are held constant. Using the formula V1/T1 = V2/T2, where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature, we can rearrange the formula to solve for V2 as V2 = V1 * (T2/T1).
Substituting the given values, we have:
V2 = 1.75 L * (298 K / 250 K)
V2 = 1.75 L * 1.192
V2 = 2.086 L (rounded to three decimal places)
Therefore, after heating the volume of the balloon to 298K, it will be 2.086 liters.