Step by step solution please

Answer the following questions Q1/ The concentration of the dissolved drug in the aqueous medium, Cs is the saturation concentration of drug, A is the surface area of the pill, and k is the mass transfer coefficient. rd=kACs. (a) Derive a dynamic model that can be used to calculate pill mass M as a function of time. Assume the pill can be approximated as a cylinder with radius r and height h. It can be assumed that h/r1. Thus, the pill surface area can be approximated as A=2rh. (b) For the conditions given below, how much time is required for the pill radius r to be reduced by 90% from its initial value of r0 ? =1.2g/ml,r0=0.4cm,h=1.8cm,Cs=500gL,andk=0.016cm/min Q2/ A stirred-tank reactor has constant volume 4m3. In routine check, the mixing performance would be examined by operate the reactor at a temperature low enough that reaction will not occur and then apply a rectangular pulse in the feed concentration for test the exit concentration. The nominal inlet flow rate is 1kgmol/m3 and flow rate is 2m3/min. A rectangular pulse input for the change in feed concentration will be used with the restriction that the resulting exit concentration changes must be large enough to be measured accurately. The proposed pulse change of 0.25min duration to reach inlet concentration to 6kgmol/m3 while maintaining the total reactor input flow rate constant. As part of the theoretical analysis, operators would like to know how closely the exit concentration response CA(t) to the rectangular pulse can be approximated by the response to an impulse of equivalent magnitude. Based on these considerations, they need to obtain the following information: (a) The magnitude of an impulse input equivalent to the rectangular pulse. (b) The impulse and rectangular pulse responses of the exit reactant concentration. (C) plot the reacrtor response of impulse and rectangular pulse input