Question

USING MATLAB

If V = 500, what is the value of X (expressed to two decimal places) given the following equations:

dX dV dY dV 「A0 (4 CA02 x3) 1E2 K (1-X) k = 0.044 Kc0.025 α 0.001 AO FAO 2.5

he initial value of X=0, and the initial value of Y = 1.

Answer 1

Hey,

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clc
clear all
k=0.044;
kc=0.025;
al=0.001;
ca0=0.3;
e=2;
Fa0=2.5;
f=@(V,X) [(k*ca0/(1+e*X(1)))*((1-X(1))-(4*(ca0^2)*X(1)^3)/(((1+e*X(1))^2)*kc))/Fa0;-al*(1+e*X(1))/(2*X(2))];
[V,X]=ode45(f,[0 500],[0 1]);
fprintf('X at 500 is %.2f ',X(find(V==500),1));

clc clear all k = 0.044: kc = 0.025: al = 0.001: ca0 = 0.3: e = 2: Fa0 = 2.5: f = @(V, X) [(k*ca0/(1 + e*X(1)))*((1-X(1))-(4*(ca0^2)*X(1)^3)/(((1 + e*X(1))^2)*kc))/Fa0;-al*(1 + e*X(1))/(2*X(2))]: [V, X] = ode45(f,[0 500],[0 1]): fprintf('X at 500 is %.2f ', X(find(V == 500),1)): k = 0.044: kc = 0.025: al = 0.001: ca0 = 0.3: e = 2: Fa0 = 2.5: f = @(V, X) [(k*ca0/(1 + e*X(1)))*((1-X(1))-(4*(ca0^2)*X(1)^3)/(((1 + e*X(1))^2)*kc))/Fa0;- al*(1 + e*X(1))/(2*X(2))] [V, X] = ode45(f,[0 500],[0 1]): fprintf('X at 500 is %.2f ', X(find(V == 500),1));

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