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 ẞ is 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 = [(F1+2F2)P1 d) h = βρα [4(F1+F2-F3)P1 лD²ẞ [2(F1+F2)P1 b) h = e) h = B(P1+P2) c) h = [(F₁+2F₂) πD²ẞ P2]² f) h = √4 (F₁ + F₂-F₂) (P₁+P2)]² πD²ẞ [2(F1+F2-F3)P3] P3 B(P1+P2) g) None of the above

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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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 ẞ is 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 =
[(F1+2F2)P1
d) h =
βρα
[4(F1+F2-F3)P1
лD²ẞ
[2(F1+F2)P1
b) h =
e) h =
B(P1+P2)
c) h =
[(F₁+2F₂)
πD²ẞ
P2]²
f) h =
√4 (F₁ + F₂-F₂) (P₁+P2)]²
πD²ẞ
[2(F1+F2-F3)P3]
P3
B(P1+P2)
g) None of the above
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 ẞ is 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 = [(F1+2F2)P1 d) h = βρα [4(F1+F2-F3)P1 лD²ẞ [2(F1+F2)P1 b) h = e) h = B(P1+P2) c) h = [(F₁+2F₂) πD²ẞ P2]² f) h = √4 (F₁ + F₂-F₂) (P₁+P2)]² πD²ẞ [2(F1+F2-F3)P3] P3 B(P1+P2) g) None of the above
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