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 (13.3 atm). enter the answer in units of liters.

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.

Explanation:

Using Boyle's law  

Given ,  

V₁ = 3.6 L  

V₂ = ?

P₁ = 1.0 atm

P₂ = 13.3 atm

Using above equation as:

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.

when the volume of gas is   changed from   717.73 ml   to 852 ml   the temperature will   change   from 315   c to 452   c

    calculation

this is calculated using the charles law formula

that is,   v1/t1 = v2/t2

          v1=?

        t1 = 315 c   into   kelvin = 315 +273 = 588 k

        v2 = 852   ml

        t2 = 425c + 273 =698 k

make v1   the subject of the formula ( by   multiplying both side by t1)

  v1=( v2 xt1) / t2

v1= (852 ml   x 588 k)/ 698 k= 717.73 ml

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