The density of water at the surface of the ocean is `rho` and atmospheric pressure is `P_(0)` If the bulk modulus of water is K, what is the density of ocean water at a depth where the pressure is `nP_(0)`?

Explanation

Increase in pressure `(Delta P) = nP_0 - P_0 = (n-1) P_0`
From `M = rho V` , the decrease in volume due to increase in pressure `Delta P` is
`Delta V = (V Delta P)/(B)`
`rArr V. = V - Delta V = V - (V Delta P)/(B) = V/B (B - Delta P)`
`rho. = (M)/(V.) = (rho V)/(V.) = (rho B)/((B - Delta P)) = (rho B)/((B - (n-1)P_0 1))`