First-Order Transfer Function with Linearization

Organized by textbook: learncheme.com/
Determines how the exiting concentration changes as a function of time for a CSTR using Laplace transforms.
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[@erikaluna6187]

Hello,
What happened to the second term of the differential equation with c2? Aren't c1 and c2 constant ?

[@wendyszeto4171]

Thank you so much for this! Exactly what I am looking for.

[@PaaKwesiAmoah-q7v]

hello Sir, please from time 3:27 to 4:25, i have been rewinding it several times but nothing makes sense to me.

[@LearnChemE]

great question. The equation written in blue at 3:36 is a general equation for linearizing a differential equation. The equation below that is changing that equation to fit the one we need it to. Our variables are c' and f1'. So the right side of the equation becomes Vdc'/dt. The left side is trickier. You first take the derivative with respect to f1: the first term becomes c1; the second term is simply a constant, so the derivative is 0; and the third term is also c. You multiply that set by f1'. For the second term on the left side, you take the derivative with respect to c: the first and second terms become zero, so you just have (f1 + f2), and then you multiply that by c'. I hope that helps.

[@harivinasokan8661]

You talk too fast, slow down a lil. Thanks.

[@cameronkirby9061]

You can change the video speed