Explanation:
Formula for Bulk modulus of a material is as follows.
B = [tex]\frac{pV}{\Delta V}[/tex]
(Bulk modulus = pressure × compressibility)
[tex]\frac{\Delta V}{V} = \frac{p}{B}[/tex]
[tex]\frac{\Delta V}{V} = 1 - \frac{\rho}{\rho'}[/tex]
Hence,
[tex]1 - \frac{\rho}{\rho'} = \frac{p}{B}[/tex]
[tex]1 - \frac{1.03 \times 10^{3}}{\rho'} = \frac{280}{2.3 \times 10^{9}}[/tex]
[tex]\rho'[/tex] = [tex]1.030 \times 10^{3} kg/m^{3}[/tex]
Therefore, we can conclude that density of seawater at a depth where the pressure is 280 atm is [tex]1.030 \times 10^{3} kg/m^{3}[/tex].
