How Does Pressure Affect Seawater Density at Depth?

[Beginner@Phys]

Homework Statement

Part A
What is the pressure at a depth of 5000 in the ocean? Given rho_water=1,030 kg/m^3
pTotal=p_0 + rho*g*h=5.06×107


Part B
What is the fractional volume change of seawater at this pressure? Given B=0.2*10^10
dV/v=p/-B =−2.53×10−2



Part C
What is the density of seawater at this pressure? (This is the question that I don't understand)

Homework Equations

(1)pTotal=p_0 + rho*g*h
(2)dV/v=p/-B
(3)p=F/A

The Attempt at a Solution

Part C: The liquid is incompressible. So. I guessed that the density of the liquid is still 1,030 kg/m^3 at a depth of 5,000m. And, I don't know why my answer was considered wrong.

 

[LowlyPion]

You determined the volume change from the bulk modulus.

But what is density? weight/volume?

So what was occupying a m³ is now occupying less volume
... so isn't the density now greater since you can now squeeze more into a m³?