Guys i really need your help with this one. i need to know how to get the answer

Question

Guys i really need your help with this one. i need to know how to get the answers for a test i have. please show your work. thank you so much

KEY (answers):

(part a)= 150 atm (part b)=1.5km . and the last one is = no.

Compression of Human bone. The bulk modulus for bone is 15 GPa, (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 0.10 % of their original volume? (b) Given that the pressure in the ocean increases by 1.0 x 104 Pa for every meter of depth below the surface, how deep would this diver have to go for her bones to compress by 0.10%? Does it seem that bone compression is a problem she needs to be concerned with when diving?

Explanation / Answer

a) change in volume / original volume = 0.1 % = 0.001 = change in pressure/ Bulk Modulus

or, change in pressure = Bulk Modulus x 0.001 = 15 x 0.001 GPa = 15 x 106 Pa = 150 atm ( as 1 atm = 105 Pa)

b) From the calculation above we get that pressure needed to compress her bone by 0.1% is 150 atm,

Therefore depth = increase in pressure / rate of pressure increase per unit lenght =15 x 106 / 104 = 1500 m = 1.5 km

c) Diving to a depth of 1.5 km causes only 0.1 % bone compression which is not significant enough to become a point of concern.

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.