Answer:
The number of balloons is 948.8.
Explanation:
The number of balloons can be calculated as follows:
[tex] N = \frac{V_{f}}{V_{T}} [/tex]
Where:
[tex]V_{f}[/tex]: is the volume at 1.086 atm
[tex]V_{T}[/tex]: is the balloon volume = 2.414 L
The volume at 1.086 atm can be found using Boyle's law:
[tex] P_{i}V_{i} = P_{f}V_{f} [/tex]
[tex] V_{f} = \frac{P_{i}V_{i}}{P_{f}} = \frac{169.1 atm*14.71 L}{1.086 atm} = 2290.5 L [/tex]
Now, the number of balloons is:
[tex] N = \frac{V_{f}}{V_{T}} = \frac{2290.5 L}{2.414 L} = 948.8 [/tex]
Therefore, the number of balloons is 948.8.
I hope it helps you!
