The following equation pertains to the concentration of a chemical in a complete

Question

The following equation pertains to the concentration of a chemical in a completely mixed reactor:
c=c_in (1-e^(-0.04t) )+c_0 e^(-0.04t)
If the initial concentration c_0=4 and the inflow concentration c_in=10, compute the time required for c to be 93 percent of c_in. By

Use three iterations of Regula Falsi method to determine the answer.
Use mat lab program of Regula Falsi method to determine your answer.
Use three iterations of Newton Raphson method to determine the answer.
Use mat lab program of Newton Raphson method to determine your answer.

Explanation / Answer

solution:

c= cin(1-e0.04t) + c0 * e0.04t

c0 =4, cin =10,

c = 0.93cin

0.93 = (1-e0.04t) + 4 * e0.04t

You can solve above equation in matlab:

code

syms t
eqn = 0.93 == (1-exp(0.04*t)) + 4 *exp(0.04*t);
solx = solve(eqn,t)
solx

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