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, $1.95\times 10^7Pa$

Explanation : Given,

Bulk modulus = $15.0GPa=15.0\times 10^9Pa$

Change in volume = 0.130 % of original volume

Let the original volume be, V

So, Change in volume = $\frac{0.130}{100}\times V$

Formula used for change in pressure is:

$\Delta P=\beta \frac{\Delta V}{V}$

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

$\Delta P=(15.0\times 10^9Pa)\times \frac{(\frac{0.130}{100}\times V)}{V}$

$\Delta P=1.95\times 10^7Pa$

Thus, the change in pressure will be, $1.95\times 10^7Pa$