2. (45 pts) Your pharmaceutical division is producing one component of an experimental cancer drug formulation in a 160 Liter (i.e., 50 gallon) batch reactor. You have been asked to use existing reactor data to help improve the process, in preparation for possible scale-up. The critical reactant for this process will be referred to as species A. Rate data at the current reactor conditions is available: X 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.85 -ra (mol/L min) 0.00636 0.00624 0.006 0.0054 0.0048 0.00396 0.003 0.00216 0.0015 0.0012 a) (10 pts) For a batch starting with 78 moles of A, how much time does the reactor take to reach X = 0.75? b) (5 pts) What are the initial and final concentrations of A in the reactor, for X = 0.75? c) (5 pts) You observe that it is possible to increase the conversion, X, to 0.85. How long will it take the reactor to achieve this (using 78 initial moles of A)? d) (10 pts) Your supervisor now wants to have X = 0.85, but with the reaction time around 60 minutes. How many initial moles of A would be needed? e) (10 pts) Another option to part (d) would be to keep the same initial moles of A and instead switch to a different batch reactor. The plant has a 100 L and a 320 L reactor available. Which reactor would give the desired batch time for X=0.85? f) (5 pts) Based on what you determined in (d) and (e), what would you recommend to your supervisor, to give the desired X and time? Justify your choice