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?

Respuesta :

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