Using Boyle's law PV = k tabulate and graph volume vs depth and volume vs pressure.Boyle's law (PV = k) states that the volume V of air varies inversely with the pressure P. If someone holds their...

Using Boyle's law PV = k tabulate and graph volume vs depth and volume vs pressure.

Boyle's law (PV = k) states that the volume V of air varies inversely with the pressure P. If someone holds their breath underwater, the volume of air in their lungs increases as they ascend. If they have 4 quarts (qt) of air in their lungs at a depth of 66 ft (where P = 3 atmospheres (atm) ), the air will expand to 6 qt when they ascend to 33 ft, where P = 2 atm. At the surface of the water, P = 1 atm. Using this data, make a table and graph to show how the volume of air in the person's lungs varies with depth, and to show how the volume of air in their lungs varies with pressure.

 

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mathsworkmusic | (Level 2) Educator

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Table for pressure (atm), volume of air (qt) and constant k versus depth (ft)

        pressure  volume    k = PV = 12

0ft        1          12             1x12      

33ft      2            6             2x6

66ft      3            4             3x4

The missing value is the volume at 0ft (the surface) = 12qt because pressure x volume is a constant (k). Here k = 12.

To graph volume versus depth, plot the points

(12,0), (6,33) and (4,66)

To graph volume versus pressure, plot the points

(12,1), (6,2) and (4,3)

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