CSTR reaction cooling jacket - Transfer Functions

I have a CSTR where an irreversible exothermic liquid reaction takes place. Coolant is flowing in the jacket of the tank to regulate the temperature of the fluid in the reactor and control in this way the concentration of component A. The cooling jacket stays at a uniform temperature. An on-line infrared spectrometer with no lag is the sensor used to measure the concentration of component A. Reaction rate is given by r(t) = k(T(t)) Css.
The goal is to get all transfer functions between the input and output variables.[![System](https://i.stack.imgur.com/UWQ2H.png)](https://i.stack.imgur.com/UWQ2H.png)


