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Chemical Engineering Exam 1 - Spring 2006: Kinetics & Reactor Problems, Exams of Chemistry

Solutions to exam 1 of the chemical engineering 441 course at new mexico state university, focusing on chemical kinetics and reactor engineering. It includes problems on mole balance, rate laws, and reactor design.

Typology: Exams

Pre 2010

Uploaded on 08/09/2009

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D.A. Rockstraw, Ph.D., P.E.
NEW MEXICO STATE UNIVERSITY
Department of Chemical Engineering
CHE 441 – Chemical Kinetics and Reactor Engineering
Spring 2006, Exam 1
Full Name (please print) SOLUTION
Social Security Number
By my signature, I attest that the work contained within this exam is a result of my own efforts. I did not
receive, provide, or supplicate assistance from anyone during the course of this examination. Further, I
understand that if found guilty of ethical violations regarding my solution to this exam, I will be punished
to the maximum extent allowable described under "Academic Misconduct" in the NMSU Student
Handbook. I understand the "Student Code of Conduct" provides policies and procedures that will be
followed by the faculty member adminstering this examination should an accusation be made by the
exam proctor or a fellow student. Finally, I accept and agree to fulfill my responsibility to report (in
writing) to the supervising professor should I observe any solicitation for assistance or action that can
be regarded as cheating within 24 hours of the completion of the exam.
Signature Date
Examination Rules
Closed Book & Notes
Clearly state ALL assumptions AND indicate where they apply in the solution
All solutions must be on the pages supplied in this packet, any personal paper
included in your solution will not be graded. If required, the exam proctor will
provide additional pages. All pages must be stapled together at the conclusion of
the exam. Any pages not stapled to the cover page will not be graded.
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Download Chemical Engineering Exam 1 - Spring 2006: Kinetics & Reactor Problems and more Exams Chemistry in PDF only on Docsity!

NEW MEXICO STATE UNIVERSITY

Department of Chemical Engineering

CHE 441 – Chemical Kinetics and Reactor Engineering

Spring 2006, Exam 1

Full Name (please print) SOLUTION

Social Security Number

By my signature, I attest that the work contained within this exam is a result of my own efforts. I did not receive, provide, or supplicate assistance from anyone during the course of this examination. Further, I understand that if found guilty of ethical violations regarding my solution to this exam, I will be punished to the maximum extent allowable described under "Academic Misconduct" in the NMSU Student Handbook. I understand the "Student Code of Conduct" provides policies and procedures that will be followed by the faculty member adminstering this examination should an accusation be made by the exam proctor or a fellow student. Finally, I accept and agree to fulfill my responsibility to report (in writing) to the supervising professor should I observe any solicitation for assistance or action that can be regarded as cheating within 24 hours of the completion of the exam.

Signature Date

Examination Rules

  • Closed Book & Notes
  • Clearly state ALL assumptions AND indicate where they apply in the solution
  • All solutions must be on the pages supplied in this packet, any personal paper

included in your solution will not be graded. If required, the exam proctor will

provide additional pages. All pages must be stapled together at the conclusion of

the exam. Any pages not stapled to the cover page will not be graded.

Derive the general mole balance equation from which the four basic design equations are

developed. Reduce the resulting expression to the design equation in terms of the space time

of a continuous stirred-tank reactor. State all assumptions made in the derivation.

SOLUTION

⎥ ⎦

⎤ ⎢ ⎣

⎥ ⎦

⎤ ⎢ ⎣

⎡ − ⎥ ⎦

⎤ ⎢ ⎣

⎥ ⎦

⎤ ⎢ ⎣

ofjwithin system

rateofaccumulation

ofjoutofsystem

rateofflow

ofjinsystembyrxn

rateofgeneration

ofjintosystem

rateofflow

dt

dN (^) j F (^) jo + G j −F j = where = (^) ∫

V Gj rjdV

dt

dN r dV

j j

V F (^) jo + (^) ∫ j −F = General Mole Balance Equation

assume steady state (eliminate derivative term) assume perfect mixing (removed r from integral)

F (^) jo + rjV −F j = 0

Space time is defined as o

V

assume constant volumetric flowrate and constant reactor volume

substituteF j (^) = C j ⋅ ν into reduced GMBE

Cjo + rj τ− Cj = 0

Solve for space time

j

jo j

r

C C

τ=

Design the minimum volume reactor system to achieve 80% conversion for the given kinetics.

SOLUTION