An aquarium tank is 1400m tall and has a cross sectional area of 1m x1m. The seawater used has a density of 1040 kg/m^3 and a compressibility of β = 1.2 X 10^-9 Pa^-1. Each day you need to test a sample from the bottom of the tank for the presence of ecoli and arsenic. You are given a sample bottle that holds 650 mL of fluid.
a. What is the change in pressure, dp, that will be experienced by the fluid removed from the bottom of the full tank?
b. What initial volume of pressurized fluid must be removed from the bottom of the tank so that it will fill your sample bottle when the fluid expands to atmospheric pressure?
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