# Five reactors linked by pipes are shown in the following figure. The rate of mass flow through

Five reactors linked by pipes are shown in the following figure. The rate of mass flow through
each pipe is corrrp11ted as the product of flow (Q) and concentration (c). At steady state, the
mass flow into and o11t of each reactor rn11st be equal. For example, for the first reactor, a mass
balance equation can be written as Qolcol + Q31c3 = Q15c1 + Q12C1.
jib = 4
Q15 = 5 Q55 V
Q54 = 2
Q19 7‘ 1 N
Qo1=6 fl‘ QI2=4 fl”. Q2-1:1 f‘, Q-I-4:9 ‘-‘or = 20 2′ > I
I Q13 = 2 I Q34 = 6
Qo3 = 7 T cm = 50
a) Write nrass balance equations for the remaining 4 reactors. P11t the known val11es in the 5
equations and convert each equation into a fornr where left hand side contains all the
variables and the right hand side the constant term.
b) Express the equations in the matrix form Ax = b. Show each of the three matrices i.e the
coefficient matrix, the variable matrix and the constant matrix.
c) Perform LU factorisation of A using MATLAB. Show connnands that you run and the lower
triangular matrix L, the upper triangular matrix U and the permutation matrix P.
d) Then use L, U,P matrices in MATLAB to find the values of the variables in your equations.
Show your connnands and their output.
e) If Co3 = 60 and col = 30, perform the minimum tasks on MATLAB to find the val11es of the
Variables. Show your connnands and their output. ORDER THIS ESSAY HERE NOW AND GET A DISCOUNT !!!

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