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