Practice of Kinetics (Comprehensive Chemical Kinetics, Volume 1)

416 TREATMENT OF EXPERIMENTAL DATATABLE 7The calculations set out in this table show that the three replicate experiments, runs 1.2 and 3constitute a non-homogeneous set(a) THE BASIC DATA: CALCULATION OF WEIGHTED MBAN USMO WEIGHTS W(k,) DBFINED IN TBXTOriginal i n, 4-2-lWk, lWE,-lO-@D, I=nr 104W(kt) lO-'W(k,)k,number SeC-1 sets CWfl J= 1 seCa SeCof runi.e. 104D.j=nrSeC' C W',i=l1 1 22 20 7.097 1.0538 3.3665 3.2517 1.0353 7.34752 2 32 30 6.944 1.4485 12.0470 5.8362 2.0642 14.33383 3 51 49 7.275 1.2031 19.4609 7.4326 2.6183 19.0481i=3 i=3Mean k for group, R = X W(k,)k,/ X W(k,)i= 1 i=1-40.7294 x 10' sec5.7178 x 1V sec'= 7.123 X lo-' seC-'sums over group 5.7178 40.7294(b) DISTRIBUTIONOF RATE COEFFICIENTS ABOUT MEAN VALUEi lV(k,-R) lO"(k,-R)' 10-6W(k,) lV W(k,)(k,-h)'seC-1 SeC-' SIX'1 - 2.6 6.8 1.035 7.02 - 17.9 320.4 2.064 661.33 15.2 23 1 .O 2.618 604.91=3C W(k,)(k,-h)'1= 1= 1273.2 X lo4r=3i=3:. C W(k,)(k,-R)a/r-l = 636.6~I= 1lo-'sum over group 1273.2(C) ESTIMATION OF BASIC ERRORi=3 1=3This is simply C E,/ Z (n,-2)i=1 i=1i= 3I; E, = 3.7054 x lo4i= 1i=3C (n,-2) = 99i= 1i=3 i=3:. I: EJ Z (4-2) = 3.743X10-@i=1 i=l