Consider a cylindrical haich reactor that has one end fitted with a frictionless piston attached to a spring (Figure P3-17). The reaction A +B - 8C with the rate expression -ra = k CCB is taking place in this type of reactor. Reaction occurs in here Figure P3-17 (a) Write the rate law' solely as a function of conversion. numerically evaluat- ing all possible symbols. (Ans.:-ra = 5.03 x 10-'101 - X)/(1+ 3x)) Ib nol/ft?.s.) (b) What is the conversion and rate of reaction when l = 0.2 ft? (Ans.: X = 0.259. - r = 8.63 X 10-10 lb mol/ft.s.) Additional information: Equal moles of A and B are present at i = 0) Initial volume: 0.15 ft! Value of ki: 1.0 (ftlb mol)-5-1 The relationship between the volume of the reactor and pressure within the reactor is V = (0.1) (P) (Vin ft. Pin atm) Temperature of system considered constant): 140F Gas constant: 0.73 ft .atm/lb inol - PR