Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Find the extra pressure down in the sea, taking the density of water as . By what percentage is the water squeezed there, and what is its new density? (Bulk modulus of water .)
Bulk modulus: ; compressibility . Water: . A gas at a steady temperature has . For a cube, each edge shrinks by a third of the fractional change of volume.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Pressure. .
Step 2. Squeeze. , that is .
Step 3. Density. .
Answer: ; ; about .
Watch out. Strictly, the denser water deeper down makes the pressure a little larger; the change is too small to matter here.
Log in to join the discussion.
Loading…