Change in density of water with depth

In summary, at a depth of 3.7 km below the surface, the density of water increases by approximately 0.1813%. This can be calculated by using the bulk modulus of water and the original density and volume of water.
  • #1
dvolpe
37
0

Homework Statement


By what percentage does the density of water increase at a depth of 3.7 km below the surface?
(change in p/p)

Homework Equations


P = pgh where p = density
p of water = 1000 kg/m cubed
h = 3.7 km = 3700 m
bulk modulus of water (b) = 2 e 9

The Attempt at a Solution



b = - change in P/ (change in vol/vol orig)
or change in vol/vol original = -pgh/b
change in vol/vol original = 1.813 e -3
percent change in volume = .1813 percent

How does this relate to the percentage increase in density?
 
Last edited:
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  • #2
dvolpe said:
How does this relate to the percentage increase in density?
If you have an original mass and you have an original volume, you can get the original density, yes? So now you have the same mass and a different volume, you can get THAT density, yes? Then calculate the difference, based on the original.
 

Related to Change in density of water with depth

1. What causes the change in density of water with depth?

The change in density of water with depth is primarily caused by variations in pressure and temperature. As depth increases, the weight of the water above compresses the water molecules, increasing the density. Additionally, colder water tends to be denser than warmer water, so temperature variations can also contribute to changes in density.

2. How does the density of water change with increasing depth?

The density of water generally increases with increasing depth, as the weight of the water above compresses the molecules and increases the density. However, at extremely deep depths, the density may decrease due to the extreme pressure and temperature conditions present.

3. What is the relationship between density and pressure in water?

The relationship between density and pressure in water is direct. As pressure increases, the density of water also increases. This is because the compressive force of the water above causes the molecules to pack more closely together, increasing the density.

4. How does temperature affect the density of water at different depths?

Temperature has a significant impact on the density of water at different depths. Generally, colder water is denser than warmer water. As water cools, the molecules slow down and pack more closely together, increasing the density. This is why colder water tends to sink below warmer water in bodies of water.

5. What is the significance of understanding changes in density of water with depth?

Understanding changes in density of water with depth is crucial for many scientific fields, including oceanography, meteorology, and climatology. It helps us understand ocean currents, weather patterns, and climate change. It also has practical applications in engineering and marine navigation, as well as impacts on marine life and ecosystems.

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