5. For a second order reaction in a batch reactor, 50% of A having initial concentration 0.5 mol/lit is converted in a 5 minutes run. Find the rate constant for this reaction. Determination of Reaction Rate by inspecting the Data: In some cases the reaction order can be determined by inspection, for instance consider the experimental data given in Table 4.1 below. In this case the rate doubles when con- centration doubles. This means that the rate is proportional to concentration thus the rate equals k[CA]'. k can be determined from any one of the data points once the reaction order is known. In Table 4.2, experimental data is given for the case when concentration doubles, the rate increases by a factor of 4. In this case, the rate is given by a second order law equal tok [1]? In Table 4.3 below, when the concentration changes, the rate stays the same. This corresponds to a zeroth order reaction in A, where rate is equal to k (CA) Table 4.1: First order reaction. CJ 102.0 4.0 12.0 rate 0.05 0.10 0.20 0.60 Table 4.2: Second order reaction. CAT 4.0 8.0 16.0 32.0 rate 3.0 12.0 48.0 192.0 Table 4.3: Zero order reaction. || 6.0 12.0 24.0 48.0 rate 5.0 4.9 5.1 5.0 cho