Friday, October 31, 2008

Decay rate and mass

32P is a beta emitter with a decay constant of 5.6 x 10^-7 s^-1.For a particular application the initial rate of disintegration must yield 4.0 x 10^7 beta particles every second. What is the mass of pure 32P will give this decay rate?
32P means the mass of Na atoms (i mole) = 32 g.
Use formula A = (decay const) N, N = 7.14 x10^13.
mass = 7.14 x 10^13 x 32 x 1.66 x10^-27=3.79 x 10^-12 kg
or mass = 7.14 x 10^13x(32x10^-3)/6/02x10^23= 3.79 x 10^-12 kg