Question

You're at the zoo and have a big red 1.80 L helium balloon. The barometric pressure today is 785 mmHg. Then you hear the roar of a lion. Startled, you accidentally release the balloon. It flies away. By the time it reaches the clouds, the atmospheric pressure that high is only 0.300 atmospheres. What would be the volume of the balloon up there?

Answer 1

Answer: The volume of the balloon up there is 6.192 L.

Step-by-step explanation:

Given:
`V_(1)` = 1.80 L,
`P_(1)` = 785 mm Hg (mm Hg = 0.00131579) = 1.032 atm

`P_(2)` = 0.300 atm,
`V_(2)` = ?

Formula used to calculate volume is as follows.

`P_(1)V_(1) = P_(2)V_(2)`

Substitute the value into above formula as follows.

`P_(1)V_(1) = P_(2)V_(2)\\1.032 atm * 1.80 L = 0.300 atm * V_(2)\\V_(2) = 6.192 L`

Thus, we can conclude that the volume of the balloon up there is 6.192 L.