Suppose that the head is (5 m) at ( t=0 ). Derive a relationship between the head and the time. 4m 커
Suppose that the head is (5 m) at ( t=0 ). Derive a relationship between the head and the time. 4m 커
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
Related questions
Question

Transcribed Image Text:Q3/ Consider the following liquid level system shown below. The flow through the
valve is related to the head (h) by the equation:
90 = √h³
Where: qu the flow rate measured in ( m³/min), h = the head of liquid in (m).
Suppose that the head is (5 m) at ( t=0). Derive a relationship between the head and
the time.
4m
K
키
7m
3m
2m
쉬
R
*
qo
ZE
Expert Solution

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Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Write the given data in this step.
VIEWStep 2: Write a mass balance equation for the liquid in the tank.
VIEWStep 3: Assume that the flow rate through the valve is the only way that mass is entering or leaving the tab
VIEWStep 4: Apply the inverse Laplace transform to solve the equation.
VIEWStep 5: Simplify the resulting equation to obtain a differential equation relating the head and the time.
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