(3) equations are: The chemical reaction from solution A to B takes into two steps. The governing dCA dt dCB dt dC A2 dt dC B2 dt =T(CAo-CA1) – KCA1, = -T-CB1 + KCA1, =T(CA1-CA2) – kC A2, =T(CB1-CB2) + kC A2, where CAo = concentration of A at the inlet of the first reactor, CA = concentration of A at the outlet of the first reactor (and inlet of the second), CA2 = concentration of A at the outlet of the second reactor, CB = concentration of B at the outlet of the first reactor (and inlet of the second), CB2 = concentration of B outlet of the second reactor. Use k = 0.12, time domain t e (0, 1), h = 1/4, T = 1/5. Assume that, at the starting time, CAo 20, and all other dependent variables are zero. Solve with Euler's method.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(3) The chemical reaction from solution A to B takes into two steps. The governing
equations are:
dC A1
dt
dC B = -T-1CB1+ KCA1,
===(CAo-CA1) – KCA1,
|
%D
dt
dC A2 =T-1(CA - CA2) – KCA2,
CA2) - kC A2,
dt
dC B2
dt
=T(CB1- CB2) + kC A2,
%3D
|
where
CAo = concentration of A at the inlet of the first reactor,
%3D
CA1
= concentration of A at the outlet of the first reactor (and inlet of the second),
CA2 = concentration of A at the outlet of the second reactor,
%3D
CB
= concentration of B at the outlet of the first reactor (and inlet of the second),
CB2
concentration of B outlet of the second reactor.
%3D
Use k 0.12, time domain t e (0, 1), h = 1/4, T = 1/5. Assume that, at the starting time,
CAO = 20, and all other dependent variables are zero. Solve with Euler's method.
%3D
%3D
%3D
Transcribed Image Text:(3) The chemical reaction from solution A to B takes into two steps. The governing equations are: dC A1 dt dC B = -T-1CB1+ KCA1, ===(CAo-CA1) – KCA1, | %D dt dC A2 =T-1(CA - CA2) – KCA2, CA2) - kC A2, dt dC B2 dt =T(CB1- CB2) + kC A2, %3D | where CAo = concentration of A at the inlet of the first reactor, %3D CA1 = concentration of A at the outlet of the first reactor (and inlet of the second), CA2 = concentration of A at the outlet of the second reactor, %3D CB = concentration of B at the outlet of the first reactor (and inlet of the second), CB2 concentration of B outlet of the second reactor. %3D Use k 0.12, time domain t e (0, 1), h = 1/4, T = 1/5. Assume that, at the starting time, CAO = 20, and all other dependent variables are zero. Solve with Euler's method. %3D %3D %3D
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