How Does Pressure Affect Seawater Volume and Density in the Mariana Trench?

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SUMMARY

The discussion focuses on the effects of pressure on seawater volume and density in the Mariana Trench, specifically at a depth of 11 km where the pressure is approximately 1.13 x 108 N/m2. Using the bulk modulus of seawater, which is 2.34 x 109 N/m2, the change in volume for 1.2 m3 of seawater is calculated to be -0.0579 m3, indicating a decrease in volume. The density of seawater at the surface is 1.03 x 103 kg/m3, and the discussion concludes with the successful calculation of its density at the bottom of the trench.

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Homework Statement


The deepest point in any ocean is in the Mariana Trench, which is about 11 km deep, in the Pacific. The pressure at this depth is huge, about 1.13 108 N/m2. (Take the bulk modulus of seawater to be 2.34 109 N/m2)
(a) Calculate the change in volume of 1.2 m3 of seawater carried from the surface to this deepest point.
(b) The density of seawater at the surface is 1.03 103 kg/m3. Find its density at the bottom.


Homework Equations


B = changeP/(changevolume/Vinitial)

or change_volume = Vinitial(change_p)/B


The Attempt at a Solution


im not sure if for part a i just plug in the numbers they give..im getting like .0579 m^3 but that's wrong
any help?
 
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How did one determine that 0.0579 m3 is the wrong answer. Perhaps it should also have a - sign to indicate a decrease in volume, but the magnitude is right.
 
ok yea it was -.0579 I am sorry
do you know how to do part b?
 
nvm..i got part b
thanks for your help
 

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