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

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Pressure significantly affects seawater volume and density in the Mariana Trench due to the immense depth of approximately 11 km, resulting in a pressure of about 1.13 x 10^8 N/m². The bulk modulus of seawater is given as 2.34 x 10^9 N/m², which is essential for calculating changes in volume. The initial attempt to calculate the volume change of 1.2 m³ of seawater resulted in an incorrect value of 0.0579 m³, which was later corrected to -0.0579 m³ to indicate a decrease in volume. The density of seawater at the surface is 1.03 x 10^3 kg/m³, and the discussion confirms that the density at the bottom was successfully calculated. Understanding these principles is crucial for grasping the effects of pressure on seawater in deep ocean environments.
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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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