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(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
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.
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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