The general formula for absolute pressure is:
[tex] P_{total} = P_{atm} + (rgh)[/tex]
Where: [tex] P_{total} [/tex] = Absolute pressure
[tex] P_{atm} [/tex] = atmospheric pressure
r = density
g = [tex] 9.8 \frac{m}{{s^2}} [/tex]
h = depth
We can use this formula to derive our formula for h:
[tex] P_{total} = P_{atm} + (rgh)[/tex] transpose atmospheric pressure
[tex] P_{total} - P_{atm} [/tex] = [tex](rgh)[/tex] transpose r and g
[tex] P_{total} [/tex] - [tex] P_{atm} [/tex]
------------------------- = h
rg
Now let us input our given into our new formula:
3.52 x [tex] 10^{5}[/tex] - 1.01 x [tex] 10^{5}[/tex]
---------------------------------------- = h
1.00 x [tex] 10^{3} [/tex] x 9.8 [tex] \frac{m}{ s^{2} } [/tex]
[tex] \frac{2.51 x {10^5}}{9.8 x {10^3} \frac{m}{s^2}} = h [/tex]
[tex] 25.61 m = h [/tex]
