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Calculate the pressure due to the ocean at the bottom of
Chapter 11, Problem 82(choose chapter or problem)
Problem 82PE
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?
Questions & Answers
QUESTION:
Problem 82PE
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?
ANSWER:
a.)
Step 1 of 3
The pressure due the ocean at the bottom of the Marianas Trench can be calculated using the expression for variation of pressure with depth in a fluid which is given by
Where, = density of sea water in kg/m3
g = acceleration due to gravity in m/s2
h = depth of the ocean in m
Substituting 1025 kg/m3 for , 9.8 m/s2 and 11
103 m for h
P = 1.105108 N/m2
Therefore, the pressure due to the ocean at the bottom of the Marianas Trench is 1.105108 N/m2
b.)