How to Calculate Pressure Change in a Balloon?

What is the pressure of air on the inside of the balloon?

A balloon contains 2.0 L of air at 101.5 kPa. You squeeze the balloon to a volume of 0.75 L. What is the pressure of air on the inside of the balloon?

Answer:

The answer is: P2 = 271 kPa

Hello! Let's solve this pressure problem in a balloon!

The data we have are:

P1: 101.5 kPa

V1: 2 L

V2: 0.75 L

P2 ?:

P is pressure and V is volume.

In this case, we know the formula for Boyle's Law:

(P1) (V1) = (P2) (V2)

We want to find out the pressure inside the balloon, which is P2.

Let's calculate:

P2 = P1 * V1 / V2

P2 = (101.5 kPa * 2 L) / 0.75 L

P2 = 271 kPa

Therefore, the pressure of air on the inside of the balloon is 271 kPa. Enjoy experimenting with balloons!

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