Answer:
The pressure at the bottom is 122 kPa or 17.7 psi.
Explanation:
The pressure at the bottom is equal to the pressure of the airspace plus the pressure of the seawater.
Pbottom = Pairspace + Pseawater [1]
The pressure caused by the column of seawater can be calculated using the expression:
Pseawater = ρ . g . h [2]
where,
ρ is the density of the seawater
g is the gravity (9.87 m/s²)
h is the depth of the seawater column
Solving [2]:
Pseawater = 1,030 kg/m³ x 9.87 m/s² x 9 m = 9 x 10⁴ kg/m.s² = 9 x 10⁴ Pa
[tex]Pseawater=9\times 10^{4} Pa.\frac{1kPa}{10^{3}Pa } =90kPa[/tex]
Then, we use this result in [1]:
Pbottom = Pairspace + Pseawater
Pbottom = 32 kPa + 90 kPa = 122 kPa
We can express this result in psi, knowing that 1 psi = 6.89 kPa.
[tex]122kPa.\frac{1psi}{6.89kPa} =17.7psi[/tex]
