A storage tank with capacity of 500 L is filled with 200 L of hydrochloric acid (HCI) solution with the concentration of 2 mol/L. Pure water at 2 L/min is pumped in and consequently HCI solution is pumped out at 2 L/min. The tank may be considered perfectly mixed. a) Develop differential total mass balance on tank interms of (dV/dt) and component balance of HCI (dCA/dt). Provide initial conditions for both expressions. Derive the expressions for V(t) and Ca(t), based on the given conditions. b) Validate the determined C(t) expression. Prove that the time taken for the concentration of the outlet stream reaches 1 mol/L at 69 min and 0 mol/L at time infinity. Sketch the expected plot of CA versus t.
A storage tank with capacity of 500 L is filled with 200 L of hydrochloric acid (HCI) solution with the concentration of 2 mol/L. Pure water at 2 L/min is pumped in and consequently HCI solution is pumped out at 2 L/min. The tank may be considered perfectly mixed. a) Develop differential total mass balance on tank interms of (dV/dt) and component balance of HCI (dCA/dt). Provide initial conditions for both expressions. Derive the expressions for V(t) and Ca(t), based on the given conditions. b) Validate the determined C(t) expression. Prove that the time taken for the concentration of the outlet stream reaches 1 mol/L at 69 min and 0 mol/L at time infinity. Sketch the expected plot of CA versus t.
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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Transcribed Image Text:A storage tank with capacity of 500L is filled with 200 L of hydrochloric acid (HCI) solution
with the concentration of 2 mol/L. Pure water at 2 L/min is pumped in and consequently HCI
solution is pumped out at 2 L/min. The tank may be considered perfectly mixed.
a) Develop differential total mass balance on tank interms of (dV/dt) and component
balance of HCI (dCA/dt). Provide initial conditions for both expressions. Derive the
expressions for V(t) and CA(t), based on the given conditions.
b) Validate the determined C(t) expression. Prove that the time taken for the concentration
of the outlet stream reaches 1 mol/L at 69 min and 0 mol/L at time infinity. Sketch the
expected plot of CA versus t.
![QUESTION 2
One hundred fifty kmol of an aqueous phosphoric acid solution contains 5.00 mole % H;PO4. The
solution is concentrated by adding pure phosphoric acid at a rate of 20.0 L/min.
(a) Write a differential mole balance on phosphoric acid and provide an initial condition. [Start by
defining n,(kmol) to be the total quantity of phosphoric acid in the tank at any time.]
(b) Solve the balance to obtain an expression for n,(1). Use the result to derive an expression for
Xp(t), the mole fraction of phosphoric acid in the solution.
(c) How long will it take to concentrate the solution to 15% H3PO,?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5dc44289-6299-4562-9da7-1a1f913095aa%2F93caf1cb-b264-4bb8-93e3-18931c47d96e%2Fms9fnlm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 2
One hundred fifty kmol of an aqueous phosphoric acid solution contains 5.00 mole % H;PO4. The
solution is concentrated by adding pure phosphoric acid at a rate of 20.0 L/min.
(a) Write a differential mole balance on phosphoric acid and provide an initial condition. [Start by
defining n,(kmol) to be the total quantity of phosphoric acid in the tank at any time.]
(b) Solve the balance to obtain an expression for n,(1). Use the result to derive an expression for
Xp(t), the mole fraction of phosphoric acid in the solution.
(c) How long will it take to concentrate the solution to 15% H3PO,?
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