Question

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 0.130 % of their original volume?

Answer 1

This is an incomplete question, here is a complete question.

The bulk modulus for bone is 15.0 (GPa). 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 0.130% of their original volume?

Answer : The change in pressure will be,
`1.95* 10^7Pa`

Explanation : Given,

Bulk modulus =
`15.0GPa=15.0* 10^9Pa`

Change in volume = 0.130 % of original volume

Let the original volume be, V

So, Change in volume =
`(0.130)/(100)* V`

Formula used for change in pressure is:

`\Delta P=\beta (\Delta V)/(V)`

Now put all the given values in this formula, we get:

`\Delta P=(15.0* 10^9Pa)* (((0.130)/(100)* V))/(V)`

`\Delta P=1.95* 10^7Pa`

Thus, the change in pressure will be,
`1.95* 10^7Pa`