# The Pressure of Air Inside a Squeezed Balloon

## A balloon contains 2.0 L of air at 101.5 kPa. You squeeze the balloon to a volume of 0.25 L.

What is the pressure of air inside the balloon?

**13 kPa**

**101 kPa**

**406 kPa**

**812 kPa**

## Answer:

812 kPa

## Explanation:

- According to Boyle's law pressure and volume of a fixed mass are inversely proportional at constant absolute temperature.

- Mathematically, P α 1/V

At varying pressure and volume;

**P1V1=P2V2**

In this case;

Initial volume, V1 = 2.0 L

Initial pressure, P1 = 101.5 kPa

Final volume, V1 = 0.25 L

We are required to determine the new pressure;

**P2=P1V1/V2**

Replacing the known variables with the values;

**P2=(101.5)(2.0L)/0.25L**

= 812 kPa

Thus, the pressure of air inside the balloon after squeezing is **812 kPa**