Question

Calculate the depth in the ocean at which the pressure is three times the atmospheric pressure

Answer 1

20.17 meters

Explanation:

Given:

Pressure = Po = 1.013x10^5 Pa

Pressure at depth = P = 3Po

Density of sea water = 1025 kg/m^3

We can calculate the depth as follows:

`\begin{gathered} P=P_o+d\cdot g\cdot h \\ \text{ we solve for h} \\ dgh=P-P_o \\ h=(P-P_o)/(d\cdot g) \end{gathered}`

We replacing and calculate the depth:

`\begin{gathered} h=(3\cdot P_o-P_o)/(1025\cdot9.8)=(2P_o)/(10045)=(2\cdot1.013\cdot10^5)/(10045) \\ h=20.17\text{ m} \end{gathered}`

Therefore, the depth is equal to 20.17 meters