Question

12. -13 points SerPSET9 12.P.027. 05 Submissions Used The deepest point in any ocean is in the Mariana Trench, which is about 11 km deep, in the Pacific. The pressure at this depth is huge, about 1.13 x 10 be 2.34 x 10 N/m?) (a) Calculate the change in volume of 1.20 ml of seawater carried from the surface to this deepest point My Notes Ask Your Teacher m. (Take the bulk modulus of seawater to (b) The density of seawater at the surface is 1.03 x 10 / m n d its density at the bottom compressible? (c) Is it a good approximation to think of water as Yes NO Need Help?

Answer 1

A)

Bulk modulus, B = - V (dP/dV)

2.34 x 10^9 = - (1.2)(1.13 x 10^8 - 101325)/dV

Change in volume, dV = - 0.058 m^3

B)

Change in density, dp = m dV/V

dp = (0.058 x 1000)/1 = 57.896 kg/m^3

Density, p2 = (1.03 x 10^3) + 57.896 = 1.08​​​​​​ x 10^3 kg/m^3

C)

Yes

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