ChBE 2120 Homework 4
Note: There are many examples posted on T-Square Resources. Please have a look at them
before starting this assignment:
Consider the following end-of-chapter problem in Chapra and Canale 28.11:
A nonisothermal batch reactor can be des
Integration: Single Application of Trapezoidal Rule:
Et =
I =( ba )
f ( a) + f ( b)
;
2
1 ' '
3
f ( ) ( ba ) ; =f ' ' ( x )
12
n1
Multiple Application of Trapezoidal Rule:
f ( x 0 ) +2 f ( x i ) +f (xn )
I =(ba)
i=1
;
2n
3
E a=
( ba )
f'
12 n2
Single Appl
Linear Eqns: Nave Gauss Elimination: Step1= pivot and scale so that largest
A 21
)( Eq 1)
coefficient of first variable is on first row Step 2 = N Eq 2=Eq2(
A 11
*Matrix As rows change w/ each step; A 32 ( step1 ) A 32 ( step2 )
A 31
A32
Step 3= N Eq 3=Eq