Question

The bulk modulus for bone is 15.0 GPa .

Part A

If a diver-in-training is put into a pressurized suit, by how much would the pressure have to be raised (in atmospheres) above atmospheric pressure to compress her bones by 0.100 % of their original volume?

Part B

Given that the pressure in the ocean increases by 1.0×104Pa for every meter of depth below the surface, how deep would this diver have to go for her bones to compress by 0.100 % ?

Part C

Does it seem that bone compression is a problem she needs to be concerned with when diving?

Yes or No

Answer 1

Bulk modulus for the bone, B-15x10°Pa Part A Vx0.1 100 Change in volume, Δν Δν Change in pressure, ΔΡ-B-- 15x10%V>< 0.1 100xV -15x10 Pa -148.04 atm Part B Change in pressure in the ocean1.0x10 Pa The depth at which the diver needs to travel, ΔΡ 15 x105 104 -1500 m Part C

In diving into a depth of 1500 m produces a 0.1% bone compression which is very small. So she doesn't needs to be concerned Hence the answer is no.