The deepest point in any ocean is in the Mariana Trench, which is about 11 km de

Question

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 108 N/m2. (Take the bulk modulus of seawater to be 2.34 x 109 N/m2) 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 8 N/m^2 . (Take the bulk modulus of seawater to be 2.34 x 10^9 N/m^2) (a) Calculate the change in volume of 1 m^3 of seawater carried from the surface to this deepest point. M^3 (b) The density of seawater at the surface is 1.03 x 10^3 kg/m^3 . Find its density at the bottom. kg/m^3

Explanation / Answer

1. bulk modulus = -P/(delV/V)

2.34 *10^9 = - (pgH)/(delV/V)

2.34 *10^9 = - (1000 *9.8 *11000)/ (delV)

Change in Volume = - 0.046 m3

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2.34 *10^9 = (1000*9.8 *11000)/(delp/p)

delp/1030 = 0.046

change in density = 47.45 kg/m3

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