Change in density of water with depth

[dvolpe]

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?

 

[phinds]

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.