The irreversible first-order liquid phase reaction, a- r achieved 80% conversion in a batch reactor in 20 minutes. (a) determine the rate constant for this reaction. (b) show that the overall fractional conversion for n cstrs connected in series may be calculated from the expression, kr 1+ where is the overall space time for the reactor cascade. using the result obtained in (a) calculate the overall space times for 1, 2 and 4 reactors to achieve a fractional conversion of 0.95. (c) how many reactors would be required to bring the conversion of a cascade to within 90% of that of a pfr of the same total volume for the same feed condition: s