Question

In May 2016, William Trubridge broke the world record in free diving (diving underwater without the use of supplemental oxygen) by diving to a depth of 124 m. Assume that he takes a breath that fills his lungs to 3.6 L at the surface of the water (1.0 atm). Calculate the volume that this same amount of air will occupy in his lungs when he reaches a depth of 124 m. Enter the answer in units of liters.

Answer 1

The volume that this same amount of air will occupy in his lungs when he reaches a depth of 124 m is - 0.27 L.

Step-by-step explanation:

Using Boyle's law

`{P_1}* {V_1}={P_2}* {V_2}`

Given ,

V₁ = 3.6 L

V₂ = ?

P₁ = 1.0 atm

P₂ = 13.3 atm (From correct source)

Using above equation as:

`{P_1}* {V_1}={P_2}* {V_2}`

`{1.0\ atm}* {3.6\ L}={13.3\ atm}* {V_2}`

`{V_2}=\frac{{1.0}* {3.6}}{13.3}\ L`

`{V_2}=0.27\ L`

The volume that this same amount of air will occupy in his lungs when he reaches a depth of 124 m is - 0.27 L.