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Exam 4 in Chemical Engineering Calculations - Fall 2006 - Prof. David A. Rockstraw, Study notes of Chemistry

New Mexico State University - Main Campus Chemistry

Prof. David A. Rockstraw

The instructions and problems for exam 4 in the chemical engineering calculations course at new mexico state university, taught by d.a. Rockstraw, ph.d., p.e. The exam covers symbolic processing, factoring expressions, solving systems of linear equations, graphing functions, and regression analysis.

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D.A. Rockstraw, Ph.D., P.E.

NEW MEXICO STATE UNIVERSITY

Department of Chemical Engineering

Ch E 111 – Chemical Engineering Calculations

Fall 2006, Exam 4

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 administering 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 & Directions

• Open Book & Notes

• Save the file under the name ChE111X4___.xmcd, where ___ should be your last

name (5 points). Email the file AS AN ATTACHMENT to drockstr@nmsu.edu.

Files will not be accepted after 1:05 PM, Thursday 12/07/2006.

• Sign this document and turn in before leaving the exam.

Partial preview of the text

Download Exam 4 in Chemical Engineering Calculations - Fall 2006 - Prof. David A. Rockstraw and more Study notes Chemistry in PDF only on Docsity!

NEW MEXICO STATE UNIVERSITY

Department of Chemical Engineering

Ch E 111 – Chemical Engineering Calculations

Fall 2006, Exam 4

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 administering 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 & Directions

Open Book & Notes
Save the file under the name ChE111X4___.xmcd, where ___ should be your last

name (5 points). Email the file AS AN ATTACHMENT to drockstr@nmsu.edu.

Files will not be accepted after 1:05 PM, Thursday 12/07/2006.

Sign this document and turn in before leaving the exam.

Use symbolic processing to:

factor the expression z 3 + 3 z^2 − 4

z^3 + 3 z ⋅ 2 − 4 factor →( z + 2 ) 2 ⋅( z − 1 )

Solve the expression q 4 − 7 q^3 − 3 q^2 + 23 q= 14 for q.

q 4 − 7 q ⋅ 3 − 3 q ⋅ 2 + 23 q⋅ − 14 solve q,

Problem 2 (20 points):

Use a solve block to find the solution to the following system of linear equations:

5 x+ 3 y− 3 z=− 1 2 x−y+z= 4 7 x− 37 −z=− 1

initial guesses x := 1 y := 1 z := 1 given 5 x⋅ + 3 y⋅ − 3 z⋅ − 1 2 x⋅ − y+ z 4 7 x⋅ − 3 y⋅ − z − (^1) find x y( , ,z)

Write a function called regress(x,y) that accepts as arguments equally-sized vectors x and y,

and returns a 3×1 vector that contains the slope, intercept, and correlation coefficient of the

regression line put through the points. Use the built-in functions slope(x,y), intercept(x,y) , and

corr(x,y) 2 in your function.

Execute your function with the vectors x = [1 2 3 4 5] and y = [2 5 8 13 17], and store the

solution in a vector named line. Define a function f(x) that references the slope and intercept

elements of the vector line to define the line. Execute f(2.4). Plot f(x) as a line, and include the

data points on the plot. Place correlation coefficient (R 2 ) on the plot.

x

:= y

regress x y( , ) sl ←slope x y( , ) int ←intercept x y( , ) R2 ←corr x y( , ) 2 sl int R

line := regress x y( , ) line

f x( ) :=line 0 ⋅x +line 1 R2 := line 2 f 2.4( ) =6.

0 2 4 6

5

10

15

20

f z( ) y

z x,

R2 =0.

Write a program to determine the kinetic energy correction factor (α) of the mechanical energy

balance by calculating the Reynolds number (Re) for flow in a pipe, given the

inside diameter of a pipe (D), the average fluid velocity (V avg), the fluid density

(ρ), and the absolute fluid viscosity at the system temperature (μ).

The correction factor α = 1.05 if Re ≥ 6000, and α = 2 if Re ≤ 2100. In the transition range

between these two limits of Re, α “cannot be determined”.

Execute the program to calculate α for the case in which a fluid of density 950 kg/m 3 and

viscosity 0.012 poise is flowing in a pipe of 2 inch diameter at 3 m/s.

setAlpha D V( , (^) avg, ρ,μ) α ←"cannot determine"

Re

D V⋅ (^) avg⋅ρ μ

α ← 1.05 ifRe ≥ 6000 α ← 2 ifRe ≤ 2100 α

D := 2in Vavg := 3 ⋅ms ρ 950 kg m^3

:= μ :=0.012 poise⋅

α :=setAlpha D V( , (^) avg, ρ,μ)

α =1.

Exam 4 in Chemical Engineering Calculations - Fall 2006 - Prof. David A. Rockstraw, Study notes of Chemistry

Related documents

Partial preview of the text

Download Exam 4 in Chemical Engineering Calculations - Fall 2006 - Prof. David A. Rockstraw and more Study notes Chemistry in PDF only on Docsity!

NEW MEXICO STATE UNIVERSITY

Department of Chemical Engineering

Ch E 111 – Chemical Engineering Calculations

Fall 2006, Exam 4

Full Name (please print) SOLUTION

Social Security Number

Signature Date

Examination Rules & Directions

name (5 points). Email the file AS AN ATTACHMENT to drockstr@nmsu.edu.

Files will not be accepted after 1:05 PM, Thursday 12/07/2006.

Use symbolic processing to:

factor the expression z 3 + 3 z^2 − 4

Solve the expression q 4 − 7 q^3 − 3 q^2 + 23 q= 14 for q.

Problem 2 (20 points):

Use a solve block to find the solution to the following system of linear equations:

5 x+ 3 y− 3 z=− 1 2 x−y+z= 4 7 x− 37 −z=− 1

Write a function called regress(x,y) that accepts as arguments equally-sized vectors x and y,

and returns a 3×1 vector that contains the slope, intercept, and correlation coefficient of the

regression line put through the points. Use the built-in functions slope(x,y), intercept(x,y) , and

corr(x,y) 2 in your function.

Execute your function with the vectors x = [1 2 3 4 5] and y = [2 5 8 13 17], and store the

solution in a vector named line. Define a function f(x) that references the slope and intercept

elements of the vector line to define the line. Execute f(2.4). Plot f(x) as a line, and include the

data points on the plot. Place correlation coefficient (R 2 ) on the plot.

R2 =0.

Write a program to determine the kinetic energy correction factor (α) of the mechanical energy

balance by calculating the Reynolds number (Re) for flow in a pipe, given the

inside diameter of a pipe (D), the average fluid velocity (V avg), the fluid density

(ρ), and the absolute fluid viscosity at the system temperature (μ).

The correction factor α = 1.05 if Re ≥ 6000, and α = 2 if Re ≤ 2100. In the transition range

between these two limits of Re, α “cannot be determined”.

Execute the program to calculate α for the case in which a fluid of density 950 kg/m 3 and

viscosity 0.012 poise is flowing in a pipe of 2 inch diameter at 3 m/s.

= avg

DV

Re