(Solved): A constant-volume CSTR can be described by the following differential equation: dtdcA=VFi ...

A constant-volume CSTR can be described by the following differential equation: $$\frac{d{c}_A}{dt}=\frac{F_i}{V}\left(c_i?c_A\right)?k{c}_A^2$$ where $$c_A$$ is the concentration in the reactor and $$F_i$$ is the inlet flow rate. (a) Determine the steady-state concentration $$c_A$$ for fixed values of $$F_i$$ and $$c_i$$ (b) Linearize this equation and recast in terms of deviation variables for $$c_A$$ and $$F_i$$. (c) Find the transfer function that relates the inlet flow $$\left(F_i\right)$$ to the outlet concentration $$\left(c_A\right)$$. NOTE: The input is $$F_i$$ and the output is $$c_A$$. You can also assume that the inlet concentration $$c_i$$ is fixed.