Question

A mickey mouse balloon has a maximum volume of 10.0 liters. A little boy purchased a Mickey Mouse balloon at Disneyland. It had a pressure of 1.25 atm and a volume of 9.00 litters. If the balloon rose to an elevation of 2,000 feet, the pressure inside the balloon dropped to 836 mmHg. Did the balloon pop?

Answer 1

The answer to your question is the balloon will pop

Step-by-step 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

`V2 = (P1V1)/(P2)`

Substitution

`V2 = ((1.25)(9))/(1.1)`

Simplification and result

V2 = 10.22 l

Conclusion

The balloon will pop because the final volume is higher than 10 l