At What Depth in Fresh Water Is the Density 1% Greater Than at the Surface?

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Homework Help Overview

The problem involves determining the depth in fresh water at which the density is 1% greater than its surface value. The context is related to fluid mechanics and the properties of water under varying conditions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the lack of a specific equation for density as a function of depth and question the assumption that water is incompressible. There are considerations about the effects of impurities on density and the nature of density changes with depth.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of water density and its behavior under pressure. Some express uncertainty about the assumptions made regarding water's incompressibility and the linearity of density changes.

Contextual Notes

There is a mention of answer choices that suggest a significant depth range, indicating potential confusion about the problem's parameters. The discussion reflects a need for clarity on the relationship between pressure, depth, and density in water.

srfrgrl727
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i am working on this problem and can't figure out how to go about it at what depth in fresh water is the density 1% greater than its value at the surface? i am not sure what equation to use.My answer choices are 230m, 2300m, 23,000m, or 230,000
 
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Do you have an equation of the density of water as a function of depth or something like that?
 
I was under the impression that water was "incompressible"- the density does NOT increase with depth. The pressure exerted by water certainly does increas with depth- its proportional to the depth- but that's not density!
 
Yeah I am quite certain that the density doesn't increase... however realistically, the water with impurity and other stuff in it will be at a lower level--- hence having more mass...

I would suspect that the density change would not be linear.
 

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