Answer:
The answer to your question is the balloon will pop
Explanation:
Data
Maximum volume = 10 liters
Initial pressure = P1 = 1.25 atm
Initial volume = V1 = 9 liters
Final pressure = 836 mmHg
Final volume = ?
Process
1.- Convert final pressure to atm
         760 mmHg ---------- 1 atm
         836 mmHg ----------  x
         x = (836 x 1) / 760
         x = 1.1 atm
2.- Use the Boyle's law to solve this problem
         P1V1 = P2V2
Solve for V2
         [tex]V2 = \frac{P1V1}{P2}[/tex]
Substitution
         [tex]V2 = \frac{(1.25)(9)}{1.1}[/tex]
Simplification and result
            V2 = 10.22 l
Conclusion
The balloon will pop because the final volume is higher than 10 l