Please kindly solve the question above is an assignment and neese to be submitted after class To whom it may concern please am begging.

2. Consider a continuous stirred tank reactor (CSTR) in which a first order reaction is taking place with rate rA=kCA with k=0.040min1. The volume V of the reactor is constant, and the reactor is operating under isothermal conditions. The input volumetric flow rate is 0.085m3/min, and V=2.1m3. The input concentration of species A CA0=0.925mol/m3. [20 points ] a. Write down the mathematical model for the isothermal CSTR. b. Determine the steady state concentration at the output of the CSTR. c. At time t=10min, the inlet concentration CA0 undergoes a step increase of magnitude 0.925mol/m3. Determine how the concentration of the output of the CSTR changes as a function of time. d. What is the ultimate steady value of the output concentration after the step jump ? Qualitatively sketch the response of the output concentration as a function of time. e. What is the time constant of the process