Overall Concentration (ambient pressure 1 atm, ambient temperature 298 K):
[M] = (n .
NA) / V = (p . NA)
/ RT
[M] = (101325 .
NA / (8.314 . 298)
[M] = 2.46 x 1019
molecules / cm3
Oxygen Concentration (5% O2)
[O2] = 2.46 x 1019 x 0.05 = 1.23 x 1018 molecules / cm3
Calculation of Rate Constant k1
k1 = (k' / [O2]) / [M]
k' / [O2] = m (Slope of Figure 3)
k1 = m / [M]
k1 = 1.18 x10-14 / 2.46 x 1019
k1 = (5.0 + 1.2) x 10-34 cm6 molecule-2 sec-1