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A tank shaped like a vertical cylinder initially contains water to a depth of 9m. The bottom plug is pulled at time t = 0. After 1h, the depth has dropped to 4m. Determine how long it will take for all the water to drain from the tank if the rate of change of depth of water in the cylinder, y, is described by: dy =-k√y dt Where y is the depth of the water in the cylinder (m) r is the radius of the cylinder (m) t is the time (hr) a is a constant. =

A tank shaped like a vertical cylinder initially contains water to a depth of 9m. The bottom plug is pulled at time t = 0. After 1h, the depth has dropped to 4m. Determine how long it will take for all the water to drain from the tank if the rate of change of depth of water in the cylinder, y, is described by: dy =-k√y dt Where y is the depth of the water in the cylinder (m) r is the radius of the cylinder (m) t is the time (hr) a is a constant. =

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Edit View O 0: F1 Go Tools Window Window Help 94 EM2 Project 1 on 1st order diff eqn 22-23.pdf (1 page) A tank shaped like a vertical cylinder initially contains water to a depth of 9m. The bottom plug is pulled at time t = 0. After 1h, the depth has dropped to 4m. Determine how long it will take for all the water to drain from the tank if the rate of change of depth of water in the cylinder, y, is described by: dy = -k√y dt Where y is the depth of the water in the cylinder (m) r is the radius of the cylinder (m) t is the time (hr) a is a constant. The differential equation in the above can be derived using the Bernouli Equation and the Mass Continuity Equation. Bernouli Equation: P/p+0.5v² + gz = 0 Mass Continuity Equation Mass in - Mass out + Generation - Consumption = accumulation. Derive the Differential Equation=-k√y and express k in terms of the properties of the system. dt Save the Microsoft word document: TD0X_Student name_Admin no._EM2 Project 1 Submit this as a report in word document in Brightspace. B tv 477 A MacBook Air F2 3 80 F3 000 DOO F4 0014 ㄷ ◄◄ D Q Search Al DII W
Transcribed Image Text:Edit View O 0: F1 Go Tools Window Window Help 94 EM2 Project 1 on 1st order diff eqn 22-23.pdf (1 page) A tank shaped like a vertical cylinder initially contains water to a depth of 9m. The bottom plug is pulled at time t = 0. After 1h, the depth has dropped to 4m. Determine how long it will take for all the water to drain from the tank if the rate of change of depth of water in the cylinder, y, is described by: dy = -k√y dt Where y is the depth of the water in the cylinder (m) r is the radius of the cylinder (m) t is the time (hr) a is a constant. The differential equation in the above can be derived using the Bernouli Equation and the Mass Continuity Equation. Bernouli Equation: P/p+0.5v² + gz = 0 Mass Continuity Equation Mass in - Mass out + Generation - Consumption = accumulation. Derive the Differential Equation=-k√y and express k in terms of the properties of the system. dt Save the Microsoft word document: TD0X_Student name_Admin no._EM2 Project 1 Submit this as a report in word document in Brightspace. B tv 477 A MacBook Air F2 3 80 F3 000 DOO F4 0014 ㄷ ◄◄ D Q Search Al DII W
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