Practice of Kinetics (Comprehensive Chemical Kinetics, Volume 1)

41 2 TREATMENT OF EXPERIMENTAL DATAIn10 20 30 40 50 60f-f,,(mln)Fig. 5. A typical plot of In a against ?-to for the reaction between isoprene and polyisoprenyllithium when the concentration of the latter is held constant. The numerical data for this plot aregiven in Table 4.Table 4 also shows the accuracy with which the data fit the above equation bylisting the values of In a and the residuals, 6, calculated from the least squaresestimates of I and k; two cases are given corresponding to assigning weights a2and unity to each point. The residuals are defined by the expression6 = In a-lnTABLE 5Run (Isoprenel0 Calculated assigning Calculated assigningmole.litre-lw,, = a', W,{ = 1-lo4- k 1oL-s(k)- l(rk 10' s(k)sec-l seC-1 sec-1 seC-11 7.097 0.023 7.015 0.0202 1.690 6.944 0.015 6.917 0.01 33 . 7.275 0.010 7.223 0.0044 7.155 0.036 6.937 0.0325 3.2207.050 0.033 6.780 0.0276 0.815 7.091 0.012 7.125 0.012