Question

Divers often inflate heavy duty balloons attached to salvage items on the sea floor. If a balloon is filled to a volume of 3.00 L at a pressure of 2.50 atm, what is the volume of the balloon when it reaches the surface?

Answer 1

Answer: The volume of balloon when it reaches the surface is 7.5 L.

Explanation:

The normal pressure at the surface of sea is 1 atm.

To calculate the volume of balloon, we use the equation given by Boyle's law.

This law states that pressure of the gas is inversely proportional to the volume of the gas at constant temperature. The equation for this law follows:

$P_1V_1=P_2V_2$

$P_1\text{ and }V_1$ are initial pressure and volume.

$P_2\text{ and }V_2$ are final pressure and volume.

We are given:

$P_1=2.5atm\\V_1=3.00L\\P_2=1atm\\V_2=?L$

Putting values in above equation, we get:

$2.5atm\times 3L=1atm\times V_2\\\\V_2=7.5L$

Hence, the volume of balloon when it reaches the surface is 7.5 L.