Final answer:
To find the final volume of the balloon, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. Using the formula V1P1 = V2P2, we can calculate the final volume of the balloon to be 120.0 L.
Step-by-step explanation:
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. So, V1P1 = V2P2. Given that the initial volume V1 is 75.0 L and the initial pressure P1 is 80.0 kPa, and the final pressure is 50.0 kPa, we can rearrange the formula to solve for the final volume V2. Plug in the values and solve for V2:
V2 = (V1 * P1) / P2
V2 = (75.0 * 80.0) / 50.0 = 120.0 L
Therefore, the balloon's volume will be 120.0 L when it reaches an altitude with a pressure of 50.0 kPa.