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dC₁ = -k₁C₁ + k₂C₂ dt dCB dt B = k₁C₁-k₂C₁ Solve this ODE-IVP system in Excel up to 2 min with a time step of 0.1 min using a) Euler Method; b) 4th order Runge-Kutta. Do manual calculation of n = 0. Plot the concentration vs time of both species A and B using the two methods.

dC₁ = -k₁C₁ + k₂C₂ dt dCB dt B = k₁C₁-k₂C₁ Solve this ODE-IVP system in Excel up to 2 min with a time step of 0.1 min using a) Euler Method; b) 4th order Runge-Kutta. Do manual calculation of n = 0. Plot the concentration vs time of both species A and B using the two methods.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Kindly answer this advanced math numerical method problem. Thank you

dC₁ = -k₁C₁ + k₂C₂ dt dCB -= k₁C₁-k₂CB dt Solve this ODE-IVP system in Excel up to 2 min with a time step of 0.1 min using a) Euler Method; b) 4th order Runge-Kutta. Do manual calculation of n - 0. Plot the concentration vs time of both species A and B using the two methods. E ARGING
Transcribed Image Text:dC₁ = -k₁C₁ + k₂C₂ dt dCB -= k₁C₁-k₂CB dt Solve this ODE-IVP system in Excel up to 2 min with a time step of 0.1 min using a) Euler Method; b) 4th order Runge-Kutta. Do manual calculation of n - 0. Plot the concentration vs time of both species A and B using the two methods. E ARGING
2. Suppose the following chemical reactions take place in a continuous stirred tank reactor (CSTR): AB Where the rate constant are as follows: k, = 1 min, k, = 0.5 min-¹ The initial charge to the reactor is all A, so the initial conditions are (in mol/L). C₁=1 C =0(gmol/L) CA An unsteady-state mass balance on each component leads to the following set of ODES:
Transcribed Image Text:2. Suppose the following chemical reactions take place in a continuous stirred tank reactor (CSTR): AB Where the rate constant are as follows: k, = 1 min, k, = 0.5 min-¹ The initial charge to the reactor is all A, so the initial conditions are (in mol/L). C₁=1 C =0(gmol/L) CA An unsteady-state mass balance on each component leads to the following set of ODES:
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