The fluid used to treat detergent is stored in a cylindrical tank. The fluid is fed into an initially half full water tank from the top and it leaves the tank from the bottom. The inlet and outlet volumetric flow rates are different from each other. The differential equation describing the time rate of change of water height is given by ?ℎ/?? =10−6√ℎ where h is the height of water in meters. Calculate the height of water in the tank under steady conditions

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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The fluid used to treat detergent is stored in a cylindrical tank. The fluid is fed
into an initially half full water tank from the top and it leaves the tank from the
bottom. The inlet and outlet volumetric flow rates are different from each other.
The differential equation describing the time rate of change of water height is
given by ?ℎ/?? =10−6√ℎ

where h is the height of water in meters.
Calculate the height of water in the tank under steady conditions

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