The following chemical reactions take place in a closed system: 2A + 2B C The equilibrium...

 

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The following chemical reactions take place in a closed system: 2A + 2B C The equilibrium constants are: Initial conditions: A + 2D C K = 5 x 10-4 K = 5 x 10- Ca,o= 50 Cb,0 = 40 CC,0 = 5 Cd,o= 10 Solve for the concentrations of C (x, and x) produced by the two reactions above. Solve the system of nonlinear equations in three different ways: 1. Using MATLAB's built-in fsolve function. 2. Newton-Raphson method with analytical partial derivatives for the Jacobian. 3. Newton-Raphson method with central finite difference approximated partial derivatives for the Jacobian. Tip: Define your initial guess for x and x as a vector [15;10] To differentiate a function in MATLAB, first create symbolic variables using syms x y and then use MATLAB's diff function to differentiate. If you want to convert a symbolic function to a function handle (a function that you can plug numbers into and solve quantitatively), use the matlabFunction function. The following chemical reactions take place in a closed system: 2A + 2B C The equilibrium constants are: Initial conditions: A + 2D C K = 5 x 10-4 K = 5 x 10- Ca,o= 50 Cb,0 = 40 CC,0 = 5 Cd,o= 10 Solve for the concentrations of C (x, and x) produced by the two reactions above. Solve the system of nonlinear equations in three different ways: 1. Using MATLAB's built-in fsolve function. 2. Newton-Raphson method with analytical partial derivatives for the Jacobian. 3. Newton-Raphson method with central finite difference approximated partial derivatives for the Jacobian. Tip: Define your initial guess for x and x as a vector [15;10] To differentiate a function in MATLAB, first create symbolic variables using syms x y and then use MATLAB's diff function to differentiate. If you want to convert a symbolic function to a function handle (a function that you can plug numbers into and solve quantitatively), use the matlabFunction function.

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Solutions In this problem we are given two reaction for which an equilibrium constant equation is given to us as K 1 c c c 2 a c b and K 2 c c c a c d ... View the full answer