dN dN dt kN =-

361 Lec36
Tue Nov. 13, 2012
More 1st order:
Disintegrations per second
d [ A]
=− k [ A]
dt
Having chosen mol A/liter, what units do we need for k?
1. multiply both sides by liters to get mols of A on both sides
1
2. divide both sides by Avogadro’s number gives molecules on both sides
dN
=− kN
dt
so, if you multiply k by the number of radioactive atoms,
so
atoms
you get the disintegrations per second.
1
361 Lec36
TueNov. 13, 2012
2
Can confidently ESTIMATE upper limit of a rate
estimate 10
estimate
109‐10
1010
If the measured rate = 5 x 106 : the mechanism is wrong!
361 Lec38
Mon, 14nov11
The first equation of
q ant m behavior,
quantum
beha ior
Planck (1905)
8