Question

2) Write an equation that represents Boyle’s law (the volume of air varies inversely with the pressure). Use k for the variation constant.

3) Solve for k utilizing the fact that you have 4 quarts of air in your lungs when the pressure is 3 atm and 6 quarts of air in your lungs when the pressure is 2 atm. Rewrite your inverse variation equation from Question #2 using your new value for k.



4) Using your equation from Question #3, construct a table relating the volume of air in your lungs to the pressure. The values for the pressures are 1 atm, 2 atm, and 3 atm.



5) Write an equation relating volume to depth. (Hint: Replace P in your equation from Question #3 with an expression in terms of d. You do not need to simplify your equation.)

Answer 1

Explanation:

2) Boyle's law says volume varies inversely with pressure:

V = k / P

3) V = 4 when P = 3:

4 = k / 3

k = 12

4)
`\left[\begin{array}{cc}P&V\\1&12\\2&6\\3&4\end{array}\right]`

5) Since P = d/33 + 1:

V = 12 / (d/33 + 1)

6)
`\left[\begin{array}{cc}d&V\\0&12\\33&6\\66&4\\99&3\end{array}\right]`