Answer:
The new volume of the balloon is 2.422 liters.
Explanation:
Let suppose that gas inside the balloon behaves ideally. From the Equation of State for Ideal Gases, we know that pressure (
), in atmospheres, is inversely proportional to volume (
), in liters, and directly proportional to temperature (
), in Kelvin. Based on this fact, we construct the following relationship:
(1)
Where:
- Initial and final pressures, in atmospheres.
- Initial and final volumes, in liters.
- Initial and final temperatures, in Kelvin.
If we know that 
, 
, 
, 
, 
, then the final pressure is:
The new volume of the balloon is 2.422 liters.
