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 by 1.0*10^4 Pa for every meter below the surface.

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

This is the work that I have, I think that I may be converting something wrong somewhere...??

(delta)v= (delta)P/Bulk Modulus *V

delta)v=[1.0*10^4]/[2.2*10^9] *33
=1.5*10^-4

they want the answer in cm^3

To find the change in volume of each cubic centimeter of blood, we can use the equation:

(delta)V = (delta)P / Bulk Modulus * V

where:
(delta)V is the change in volume
(delta)P is the change in pressure
Bulk Modulus is the bulk modulus of blood (assumed to be the same as water, 2.20 GPa or 2.20 * 10^9 Pa)
V is the initial volume

In this case, the change in pressure is given as 1.0 * 10^4 Pa for every meter below the surface. Therefore, at a depth of 33.0 m, the change in pressure would be:

(delta)P = (1.0 * 10^4 Pa/m) * 33.0 m
(delta)P = 3.3 * 10^5 Pa

Now, we can substitute the values into the equation:

(delta)V = (3.3 * 10^5 Pa) / (2.20 * 10^9 Pa) * V

Since we want the answer in cm^3, we can convert the volume V to cm^3. Let's assume V is in liters:

V (in cm^3) = V (in liters) * 1000 cm^3/L

Substituting this into the equation, we have:

(delta)V = (3.3 * 10^5 Pa) / (2.20 * 10^9 Pa) * V (in liters) * 1000 cm^3/L

Simplifying and calculating, we find:

(delta)V = 1.50 * 10^-4 cm^3

Therefore, each cubic centimeter of blood changes in volume by 1.50 * 10^-4 cm^3 when the diver goes down 33.0 m in the ocean.

To find the change in volume of each cubic centimeter of blood when a diver goes down 33.0 m in the ocean, we can use the formula:

ΔV = ΔP / Bulk Modulus * V

Given:
ΔP = 1.0 * 10^4 Pa (pressure increase per meter)
Bulk Modulus = 2.20 * 10^9 Pa (assuming the same as water)
V = 1 cm^3

Let's calculate the change in volume:

ΔV = (1.0 * 10^4 / 2.20 * 10^9) * 33.0
= (1.0 * 10^4 * 33.0) / (2.20 * 10^9)
≈ 0.150 cm^3

Therefore, each cubic centimeter of the diver's blood would change in volume by approximately 0.150 cm^3 when going down 33.0 m in the ocean.