2. In the tank illustrated below, there are two inlets and one outlet, with volumetric flowrates F1, F2, and F3. The outlet flowrate (F3) is equal to ẞ(h) 0.5, where ẞis a constant and h is the fluid height. The total tank volume is V (tank diameter =D), and the initial liquid volume in the tank is Vi. The density in the inlet streams is p₁ and p2, and the density of the outlet stream is p3 (and these values are constant). The density of inlet stream 2 (p2) is twice the value of inlet stream 1. What is the correct expression for the height of fluid in the tank (h) at steady-state? You can assume that the tank is well-mixed and that the temperature is constant. (circle answer) F1, P1 F3, P3 F2, P2 a) h = b) h = [(F1+2F2) P1 βρα [2(F₁+F₂2) P1] d) h = [4(F1+F2-F3)P1 ПD²ẞ e) h = [4 (F₁+F2-F3) (P₁+P2)]² P3 B(P1+P2) [(F1+2F2)P2]² c) h = [+2 g) None of the above f) h = F3)P3' B(P1+P2)

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
Question
2. In the tank illustrated below, there are two inlets and one outlet, with volumetric flowrates F1, F2, and
F3. The outlet flowrate (F3) is equal to ẞ(h) 0.5, where ẞis a constant and h is the fluid height. The total
tank volume is V (tank diameter =D), and the initial liquid volume in the tank is Vi. The density in the
inlet streams is p₁ and p2, and the density of the outlet stream is p3 (and these values are constant). The
density of inlet stream 2 (p2) is twice the value of inlet stream 1. What is the correct expression for the
height of fluid in the tank (h) at steady-state? You can assume that the tank is well-mixed and that the
temperature is constant. (circle answer)
F1, P1
F3, P3
F2, P2
a) h =
b) h =
[(F1+2F2) P1
βρα
[2(F₁+F₂2) P1]
d) h =
[4(F1+F2-F3)P1
ПD²ẞ
e) h = [4 (F₁+F2-F3) (P₁+P2)]²
P3
B(P1+P2)
[(F1+2F2)P2]²
c) h = [+2
g) None of the above
f) h =
F3)P3'
B(P1+P2)
Transcribed Image Text:2. In the tank illustrated below, there are two inlets and one outlet, with volumetric flowrates F1, F2, and F3. The outlet flowrate (F3) is equal to ẞ(h) 0.5, where ẞis a constant and h is the fluid height. The total tank volume is V (tank diameter =D), and the initial liquid volume in the tank is Vi. The density in the inlet streams is p₁ and p2, and the density of the outlet stream is p3 (and these values are constant). The density of inlet stream 2 (p2) is twice the value of inlet stream 1. What is the correct expression for the height of fluid in the tank (h) at steady-state? You can assume that the tank is well-mixed and that the temperature is constant. (circle answer) F1, P1 F3, P3 F2, P2 a) h = b) h = [(F1+2F2) P1 βρα [2(F₁+F₂2) P1] d) h = [4(F1+F2-F3)P1 ПD²ẞ e) h = [4 (F₁+F2-F3) (P₁+P2)]² P3 B(P1+P2) [(F1+2F2)P2]² c) h = [+2 g) None of the above f) h = F3)P3' B(P1+P2)
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