Question

A balloon with a volume of 30.0L at a pressure of 101.3 kPa rises to an altitude with a pressure of 25.3 kPa. Find the new volume.

Answer 1

119.91 litres is the new volume when a balloon with a volume of 30.0L at a pressure of 101.3 kPa rises to an altitude with a pressure of 25.3 kPa.

Step-by-step explanation:

Data given:

Initial volume of the balloon, V1 = 30 litres

Initial pressure on the balloon, P1 = 101.1.3 kPa or 0.998 atm

final pressure on the balloon, P2 = 25.3 Kpa or 0.24 atm

final volume of the balloon, V2

from the data provided, we must apply Boyle's Law to know the final volume of the balloon.

formula used:

P1V1 = P2V2

Rearranging the equation:

V2 =
`(P1V1)/(P2)`

putting the values in the equation:

V2 =
`(101.13 X 30)/(25.3)`

V2 = 119.91 litres.

We can see that when pressure was reduced to 25.3 kPa from 101.13 kPa, the volume increases to 119.91 litres.