The kinetics of the catalytic reaction A R + S are given by The reaction is carried out isothermally in a packed bed reactor with plug flow at 275 degree c. The feed contains 0.155 mole water per mole reactant. Water is not absorbed on the catalyst and acts purely as an inert diluent. Given the following data, Fto=4.2 kmol/h (total flow rate) rho b=1500 kg/m3 dt=0.05 m k = 4.3593 [kmol/kg cat. h] pt=3 bar KA = 0.43039 [bar-1] K = 0.589 [bar] KR + KS = 2.8951 [bar-1] rho A = ? rho R = ? KR = ? LS = ? calculate the length of the reactor required to reach an exit conversion of (i) 40 percent, (ii) 70 percent. Suppose the reaction is carried out under the same conditions in a multitubular reactor. The tube length is 3 m. The total feed per tube is 4 kmol/h. An annual production of 20,000 metric tons of product is required. The molecular weight of the product is 44. One year on stream is equivalent to 8000 h. Determine the number of tubes required to meet the production.