What is the change in density of water at a depth of 400 m?

In summary, the conversation was about calculating the change in density of water at a depth of 400 m below the surface of a lake, given the surface density of water and its bulk modulus. There was a question about whether or not to use the formula for pressure (P = h*density*g) and if integration was necessary. An approximation of the pressure at a depth of 400 m was suggested as a possible solution.
  • #1
Abhishekdas
208
0
Bulk modulus question...please help

Homework Statement


What is the change in density of water in a lake at a depth of 400 m below the surface? The density of water at the surface is 1030 kg/m3 and bulk modulus of water is 2*109 Nm2


Homework Equations


For fluid
New Density= Initial density*(1/1-dP/B)
dP=change in pressure and B=bulk modulus


The Attempt at a Solution



My doubt is can we apply dp=h*density*g here taking the initial density (1030) because density is not constant throughout...Do we have to integrate or something...? What do do?
 
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  • #2


ANy replies here...please...
 
  • #3


Abhishekdas said:
ANy replies here...please...

You can take P = h X surface density X g
 

Related to What is the change in density of water at a depth of 400 m?

What is bulk modulus?

Bulk modulus is a measure of the resistance of a material to compressibility under uniform pressure. It is defined as the ratio of the change in pressure to the fractional volume change in a material.

How is bulk modulus different from Young's modulus?

Bulk modulus measures a material's resistance to compression, while Young's modulus measures its resistance to deformation or stretching. In other words, bulk modulus is a measure of a material's response to pressure, while Young's modulus is a measure of its response to stress.

What factors affect the bulk modulus of a material?

The bulk modulus of a material is affected by its chemical composition, density, temperature, and crystal structure. Generally, materials with stronger chemical bonds and higher density have higher bulk moduli, while materials with weaker bonds and lower density have lower bulk moduli.

Why is bulk modulus important in material science?

Bulk modulus is an important property in material science because it helps us understand how materials respond to compression and pressure. It is used to design and develop materials for specific applications, such as in construction, aerospace, and automotive industries.

How is bulk modulus measured?

Bulk modulus can be measured using several methods, including ultrasonic techniques, compression tests, and static compression methods. These methods involve applying pressure to a sample of the material and measuring the resulting change in volume or strain. The measured data is then used to calculate the bulk modulus of the material.

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