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Answer:
The final volume of the balloon is 24.480 liters.
Explanation:
Let consider that no leakages occur in the balloon during the isobaric process and that helium behaves ideally. From Equation of State for Ideal Gases, we construct the following relationship:
[tex]V_{o}\cdot T_{o} = V_{f}\cdot T_{f}[/tex] (1)
Where:
[tex]V_{o}[/tex], [tex]V_{f}[/tex] - Initial and final volume, measured in liters.
[tex]T_{o}[/tex], [tex]T_{f}[/tex] - Initial and final temperature, measured in Kelvin.
If we know that [tex]V_{o} = 30\,L[/tex], [tex]T_{o} = 288.15\,K[/tex] and [tex]T_{f} = 353.13\,K[/tex], the final volume of the balloon is:
[tex]V_{f} = \frac{V_{o}\cdot T_{o}}{T_{f}}[/tex]
[tex]V_{f} = 24.480\,L[/tex]
The final volume of the balloon is 24.480 liters.