s part of a processing of biofuels, water is pumped into a circular tank with a diameter ??, as shown in the figure below. The flowrate into the tank is ?1 and the flowrate out is ?2. When the vessel is heated, water evaporates. The average velocity at which the vapour rises across the entire tank is ?????. You may assume that water has a density of ρ?, and vapour has a density of ρ?. Acceleration due to gravity is ?. a) Find an expression for the rate of change of the mass of water in the tank. b) At time ? = 0, the height of water in the tank is ℎ0. Find an expression for the height as a function of time, ℎ(?). c) An alarm is triggered when the pressure at the bottom of the tank exceeds ??????. Find an expression for the time at which the alarm goes off.
s part of a processing of biofuels, water is pumped into a circular tank with a diameter ??, as shown in the figure below. The flowrate into the tank is ?1 and the flowrate out is ?2. When the vessel is heated, water evaporates. The average velocity at which the vapour rises across the entire tank is ?????. You may assume that water has a density of ρ?, and vapour has a density of ρ?. Acceleration due to gravity is ?. a) Find an expression for the rate of change of the mass of water in the tank. b) At time ? = 0, the height of water in the tank is ℎ0. Find an expression for the height as a function of time, ℎ(?). c) An alarm is triggered when the pressure at the bottom of the tank exceeds ??????. 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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As part of a processing of biofuels, water is pumped into a circular tank with a diameter ??, as shown in the figure below. The flowrate into the tank is ?1 and the flowrate out is ?2. When the vessel is heated, water evaporates. The average velocity at which the vapour rises across the entire tank is ?????.
You may assume that water has a density of ρ?, and vapour has a density of ρ?. Acceleration due to gravity is ?.
a) Find an expression for the rate of change of the mass of water in the tank.
b) At time ? = 0, the height of water in the tank is ℎ0. Find an expression for the height as a function of time, ℎ(?).
c) An alarm is triggered when the pressure at the bottom of the tank exceeds ??????. Find an expression for the time at which the alarm goes off.
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