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 Ih, 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: d 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) is a constant The differential equation in the above can be derived using the Bernoul Equation and the Mass Continuity Equation. Semouli Equation: P/p0.5v²gr-0 Mass Continuity Equation Massin-Mass out Generation-Consumption accumulation. Derive the Differential Equation y and express k in terms of the properties of the system. . Save the Microsoft word document: TDOX Student name Admin no, EM2 Project 1 • Submit this as a report in word document in Brightspace

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
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How do you use the Bernouli equation and the Mass Continuity Equation to derive the differential equation?
16:15 M b
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20
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 o
change of depth of water in the cylinder, y, is described by:
dy=-k√y
*
F2
EM2 Project 1 on 1st order diff egn 22-23.pdf (1 page)
Where
y is the depth of the water in the cylinder (m)
r is the radius of the cylinder (m)
It is the time (hr)
e is a constant.
The differential equation in the above can be derived using the Bernoul Equation and the Mass
Continuity Equation.
Bernouli Equation
P/P+0.5v²g2-0
Mass Continuity Equation
Mass in-Mass out Generation-Consumption accumulation.
Derive the Differential Equation dy
dr
8.0
F3
• Save the Microsoft word document: TDOX Student name Admin no. EM2
Project 1
• Submit this as a report in word document in Brightspace
за
ky and express k in terms of the properties of the system.
888
..
?
#ty
MacBook Air
44 M
40 A
√x
园
DI
Q
4G+
#66
C DD
DO
Do
8
Transcribed Image Text:16:15 M b Edit View Go Tools Window Help 20 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 o change of depth of water in the cylinder, y, is described by: dy=-k√y * F2 EM2 Project 1 on 1st order diff egn 22-23.pdf (1 page) Where y is the depth of the water in the cylinder (m) r is the radius of the cylinder (m) It is the time (hr) e is a constant. The differential equation in the above can be derived using the Bernoul Equation and the Mass Continuity Equation. Bernouli Equation P/P+0.5v²g2-0 Mass Continuity Equation Mass in-Mass out Generation-Consumption accumulation. Derive the Differential Equation dy dr 8.0 F3 • Save the Microsoft word document: TDOX Student name Admin no. EM2 Project 1 • Submit this as a report in word document in Brightspace за ky and express k in terms of the properties of the system. 888 .. ? #ty MacBook Air 44 M 40 A √x 园 DI Q 4G+ #66 C DD DO Do 8
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