It is reasonable to assume that the bulk modulus of blood is about the same as t

Question

It is reasonable to assume that the bulk modulus of blood is about the same as that of water (2.20 GPa). As one goes deeper and deeper in the ocean, the pressure increases by1.0 x 10^4 Pafor every meter below the surface.

A. If a diver goes down 33.0m (a bit over 100 ft) in the ocean, by how much does each cubic centimeter of her blood change in volume?

Answer in cm^3.

B. How deep must a diver go so that each drop of blood compresses to half its volume at the surface?

answer in km

C. Is the ocean deep enough to have this effect on the diver? (yes/no)

Explanation / Answer

B= p/(v/v);

2.2*109= 33*104 /(v/v);

(v/v) =15*10-5 ;

b) 2.2*109 =x/0.5;

x= 4.4*109 ;

so disance = 4.4*109 / 1*10^4 = 4.4*10^5 m ;

which is 44000 m = 44km ..but the deepest point in any ocean is 10km...so it is not possible

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