The rate constant for two parallel reactions were found to be 1.0×10−2 dm3 mol−1 s−1 and 3.0×10−2 dm3 mol−1 s−1. If the corresponding energies of activation of the parallel reactions are 60.0 kJ mol−1 and 70.0 kJ mol−1 respectively, what is the apparent overall energy of activation?
The correct option is B 67.5 kJ mol−1
We know that, the overall energy of activation for the parallel reaction can be calculated as:
Ea1=60 kJ mol−1
Ea2=70 kJ mol−1
k1=1.0×10−2 dm3 mol−1 s−1
k2=3.0×10−2 dm3 mol−1 s−1
Ea=67.5 kJ mol−1