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Question
Calculate the pressure due to the ocean at the bottom of the Marianas Trench near the Philippines, given its depth is 11.0 km and assuming the density of sea water is constant all the way down. (b) Calculate the percent decrease in volume of sea water due to such a pressure, assuming its bulk modulus is the same as water and is constant. (c) What would be the percent increase in its density? Is the assumption of constant density valid? Will the actual pressure be greater or smaller than that calculated under this assumption?
1. $1.09 \times 10^{3}\textrm{ atm}$
2. $5.0\%$ decrease in volume
3. $5.3\%$ increase in density. The actual pressure will be greater than calculated in part (a) since, with greater density, there will be greater mass, and thus weight, in the vertical column of water. This greater weight will cause greater pressure.
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