An exhaled air bubble underwater at 290.
kPa has volume 18.9mL. What will be its
volume at the water's surface where the
pressure is 104kPa. (Why must a diver
exhale during ascent?)

The answer for the following problem is mentioned below.

Explanation:

Given:

Initial pressure () = 290 kPa

Final pressure () = 104 kPa

Initial volume () = 18.9 ml

To find:

Final volume ()

We know;

From the ideal gas equation;

    P × V = n × R × T

where;

P represents the pressure of the gas

V represents the volume of gas

n represents the no of the moles

R represents the universal gas constant

T represents the temperature of the gas

So;

   P × V = constant

   P ∝

From the above equation;

represents the initial pressure of the gas

represents the final pressure of the gas

represents the initial volume of the gas

represents the final volume of the gas

Substituting the values of the above equation;

                    =

              = 52.7 ml

Therefore the final volume of the gas is 52.7 ml.