(a) Write expressions for (i) the rate of generation of B in the first reaction and (ii) the rate of consumption of B in the second reaction. (If this takes you more than about 10 seconds, you're missing the point.) /dt, (b) Write mole balances on A, B, and C, convert them into expressions for dC /dt, dCB/ and dC/dt, and provide boundary conditions. A (c) Without doing any calculations, sketch on a single graph the plots you would expect to obtain of CA versus t, CB versus t, and C versus t. Clearly show the function values at t = 0 and 1 → ∞o and the curvature (concave up, concave down, or linear) in the vicinity of t = 0. Briefly explain your reasoning.
(a) Write expressions for (i) the rate of generation of B in the first reaction and (ii) the rate of consumption of B in the second reaction. (If this takes you more than about 10 seconds, you're missing the point.) /dt, (b) Write mole balances on A, B, and C, convert them into expressions for dC /dt, dCB/ and dC/dt, and provide boundary conditions. A (c) Without doing any calculations, sketch on a single graph the plots you would expect to obtain of CA versus t, CB versus t, and C versus t. Clearly show the function values at t = 0 and 1 → ∞o and the curvature (concave up, concave down, or linear) in the vicinity of t = 0. Briefly explain your reasoning.
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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![10.35 The following chemical reactions take place in a liquid-phase batch reactor of constant volume
V.
A → 2B ₁ [mol A consumed/(Ls)] = 0.100CA
B
→mol C generated/(Ls)] = 0.200C
where the concentrations CA and C are in mol/L. The reactor is initially charged with pure A
В
at a concentration of 1.00 mol/L.
(a) Write expressions for (i) the rate of generation of B in the first reaction and (ii) the rate of
consumption of B in the second reaction. (If this takes you more than about 10 seconds,
you're missing the point.)
A
B
(b) Write mole balances on A, B, and C, convert them into expressions for dC / dt, dC / dt,
and dC / dt, and provide boundary conditions.
(c) Without doing any calculations, sketch on a single graph the plots you would expect to
obtain of C versus t, CB versus t, and C versus t. Clearly show the function values at
A
1 = 0 and 1 → ∞o and the curvature (concave up, concave down, or linear) in the vicinity of
t = 0. Briefly explain your reasoning.
(d) Solve the equations derived in Part b using a differential equation-solving program. On a
single graph, show plots of C versus t, CB versus t, and C versus / from 1 = 0 to
t = 50 s. Verify that your predictions in Part c were correct. If they were not, change them
and revise your explanation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6ab806b-464c-4756-9d8f-72da0489465e%2F82cf5dae-0f60-41b9-b644-9ca16ebef9f0%2F35im2vn_processed.png&w=3840&q=75)
Transcribed Image Text:10.35 The following chemical reactions take place in a liquid-phase batch reactor of constant volume
V.
A → 2B ₁ [mol A consumed/(Ls)] = 0.100CA
B
→mol C generated/(Ls)] = 0.200C
where the concentrations CA and C are in mol/L. The reactor is initially charged with pure A
В
at a concentration of 1.00 mol/L.
(a) Write expressions for (i) the rate of generation of B in the first reaction and (ii) the rate of
consumption of B in the second reaction. (If this takes you more than about 10 seconds,
you're missing the point.)
A
B
(b) Write mole balances on A, B, and C, convert them into expressions for dC / dt, dC / dt,
and dC / dt, and provide boundary conditions.
(c) Without doing any calculations, sketch on a single graph the plots you would expect to
obtain of C versus t, CB versus t, and C versus t. Clearly show the function values at
A
1 = 0 and 1 → ∞o and the curvature (concave up, concave down, or linear) in the vicinity of
t = 0. Briefly explain your reasoning.
(d) Solve the equations derived in Part b using a differential equation-solving program. On a
single graph, show plots of C versus t, CB versus t, and C versus / from 1 = 0 to
t = 50 s. Verify that your predictions in Part c were correct. If they were not, change them
and revise your explanation.
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