conservation principles to develop a mathematical dynamic model for the mixing tank. Make degrees of freedom analysis for the model.

$F_1(\frac{m^3}{s}),C_1(\frac{kg}{m^3})$

$F_2\frac{m^3}{s}$

$C_{2}k\frac{g}{m^3}$

$F(\frac{m^3}{s}),C(k\frac{g}{m^3})$

Question $2.$ For the reaction $A+B2C$ taking place in a batch reactor, starting from the conservation of energy equation, develop an equation which will give the rate of change of temperature with respect to time. Since the reaction is endothermic heat is supplied to the reactor at a rate $Q$ Joules$/$s $($watts$).$ What is the condition for an isothermal operation?