The deepest point in the ocean is 11 km below sea level, deeper than MT. Everest

Kathleen Rausch

Kathleen Rausch

Answered question


The deepest point in the ocean is 11 km below sea level, deeper than MT. Everest is tall. What is the pressure in atmospheres at this depth?

Answer & Explanation



Beginner2021-12-20Added 36 answers

Density of sea water p=1029kgm3
Atmospheric pressure P0=1.01×105Pa
Depth h=11km=11×103m
Pressure of water at the deepest point
Therefore net pressure =P+P0=1099+1atm=1100atm


Beginner2021-12-21Added 41 answers

The following provides the pressure equation:

Don Sumner

Don Sumner

Skilled2021-12-27Added 184 answers

Concepts and reason 
The concepts required to solve the given questions is the pressure in the atmosphere at the depth.
Initially, calculate the depth form km to m. Later, write an expression for the pressure at the depth. Finally, calculate the pressure in the atmosphere at this depth. 
The following is the term for the atmosphere at a certain depth:
Here, is the initial atmospheric pressure, D is the density of water, g is the acceleration due to gravity, and h is the deepest point in the ocean.
The depth in km is equal to, 
h=11 km
Then, change it to m as follows:
h=11 km(103 m1 km)
=11000 m
The depth of the ocean is converted from km to m on multiplying by a factor of 103
Substitute 1.00 atm for P01030 kg/m3 for D, 9.8m/s2 for g, and 11000 m for h in the equation P=P0+Dgh
P=1.00 atm+(1030 kg/m3)(9.8 m/s2)(11000 m)
=1.00 atm+1096.09 atm
=1097.09 atm
The pressure in the atmosphere at the depth is equal to 1097.09 atm. 
The density of the water is equal to 1000 kg/m3. However, we must determine the depth of the ocean at that particular point. The ocean contains salt water so, we have to use density of the salt water.



Skilled2023-06-19Added 181 answers

The pressure at the deepest point in the ocean can be calculated using the hydrostatic pressure formula. The formula is given by:
P is the pressure,
ρ is the density of seawater,
g is the acceleration due to gravity, and
h is the height of the water column.
At the deepest point in the ocean, h is 11 km. We need to convert this depth to meters, so h=11×1000 m. The density of seawater, ρ, is approximately 1030kg/m3, and the acceleration due to gravity, g, is approximately 9.8m/s2.
Substituting the values into the formula, we have:
Evaluating this expression gives:
Since 1 atmosphere is defined as the average atmospheric pressure at sea level, which is approximately 1.013×105kg/(ms2), we can convert the pressure to atmospheres by dividing by this value:
Simplifying this expression, we find that the pressure at the deepest point in the ocean is approximately 1,120 atmospheres.
Andre BalkonE

Andre BalkonE

Skilled2023-06-19Added 110 answers

11,169.98 atmospheres
In this case, we need to calculate the pressure at a depth of 11 km below sea level. We know that the density of seawater is approximately 1030 kg/m3, and the acceleration due to gravity is approximately 9.8 m/s2. To convert the depth from kilometers to meters, we multiply by 1000.
Therefore, the pressure can be calculated as follows:
Calculating this expression will give us the pressure at that depth.
Now, let's solve it step by step:
Step 1: Convert depth to meters:
Step 2: Calculate the pressure:
Step 3: Simplify the expression:
Step 4: Convert the units to atmospheres (atm):
Step 5: Perform the calculation:
Therefore, the pressure at a depth of 11 km below sea level is approximately 11,169.98 atmospheres.

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