a. Write the most general form of the mass balance equation for ANY control volume with multiple mass flow rate inlets and outlets.

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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Question
a. Write the most general form of the mass balance equation
for ANY control volume with multiple mass flow rate inlets
and outlets.
b. Consider the specific case of a rectangular tank (oriented A
vertically as shown in the accompanying figure) that is
being filled with the same liquid from two different pipes.
If the cross-sectional areas and average velocities for the
two pipes are designated as AA, AB, VA, and VB respectively,
simplify the equation from part a) to get the appropriate
expression for the rate at which the liquid level (h) in the
tank is changing with respect to time.
C.
Calculate the time (min) it takes to raise the liquid level in
the tank from 1 m to 3 m given the following details:
s = 1.5 m
AA = 0.012 m²
AB = 0.008 m²
VA = 0.3 m/s
VB = 0.6 m/s
r
h
B
Transcribed Image Text:a. Write the most general form of the mass balance equation for ANY control volume with multiple mass flow rate inlets and outlets. b. Consider the specific case of a rectangular tank (oriented A vertically as shown in the accompanying figure) that is being filled with the same liquid from two different pipes. If the cross-sectional areas and average velocities for the two pipes are designated as AA, AB, VA, and VB respectively, simplify the equation from part a) to get the appropriate expression for the rate at which the liquid level (h) in the tank is changing with respect to time. C. Calculate the time (min) it takes to raise the liquid level in the tank from 1 m to 3 m given the following details: s = 1.5 m AA = 0.012 m² AB = 0.008 m² VA = 0.3 m/s VB = 0.6 m/s r h B
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