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