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Find the density of seawater at a depth where
the pressure is 640 atm if the density at the surface is 1050 kg/m3
. Seawater has a bulk modulus of 2.3 × 109 N/m2 . Bulk modulus is
defined to be
B ≡ρ0 ∆P
∆ρ
Answer in units of kg/m3

Sagot :

chahat7280

Explanation:

Find the density of seawater at a depth where

the pressure is 520 atm if the density at the

surface is 1100 kg/m3. Seawater has a bulk

modulus of 2.3 × 109 N/m2. Bulk modulus is

defined to be

B ≡ρ0 ∆P/∆ρ

Answer in units of kg/m3.

Expert's answer

Bulk modulus by definition

B=\rho_0\frac{\Delta P}{\Delta \rho}.B=ρ

0

Δρ

ΔP

.

Hence, the density of seawater at a depth where the pressure is 520 atm

\rho=\rho_0+\Delta\rho=\rho_0(1+\frac{\Delta P}{B})ρ=ρ

0

+Δρ=ρ

0

(1+

B

ΔP

)

=1100\times(1+\frac{(520-1)\times 10^5}{2.3\times 10^9})=1125\:\rm kg/m^3.=1100×(1+

2.3×10

9

(520−1)×10

5

)=1125kg/m

3

.

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