As part of a processing of biofuels, water is pumped into a circular tank with a diameter Dt. as shown in Figure Q3. The flowrate into the tank is Q₁ and the flowrate out is Q₂. When the vessel is heated, water evaporates. The average velocity at which the vapour rises across the entire tank is vevap. You may assume that water has a density of pw, and vapour has a density of pv. Acceleration due to gravity is g. a) Find an expression for the rate of change of the mass of water in the tank. b) At time t = 0, the height of water in the tank is ho. Find an expression for the height as a function of time, h(t). c) An alarm is triggered when the pressure at the bottom of the tank exceeds Palarm. Find an expression for the time at which the alarm goes off.
As part of a processing of biofuels, water is pumped into a circular tank with a diameter Dt. as shown in Figure Q3. The flowrate into the tank is Q₁ and the flowrate out is Q₂. When the vessel is heated, water evaporates. The average velocity at which the vapour rises across the entire tank is vevap. You may assume that water has a density of pw, and vapour has a density of pv. Acceleration due to gravity is g. a) Find an expression for the rate of change of the mass of water in the tank. b) At time t = 0, the height of water in the tank is ho. Find an expression for the height as a function of time, h(t). c) An alarm is triggered when the pressure at the bottom of the tank exceeds Palarm. Find an expression for the time at which the alarm goes off.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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