The half-life of strontium-91, 91
38Sr is 9.70 h. Find
(a) its decay constant, and
(b) for an initial 1.00-g sample, the activity after 15 hours.
a)
λ=ln2T1/2=19.8⋅10−6 s−1,\lambda=\frac{\ln 2}{T_{1/2}}=19.8\cdot 10^{-6}~s^{-1},λ=T1/2ln2=19.8⋅10−6 s−1,
b)
A=λmMNA2−tT1/2=44.8⋅1015 Bq.A=\lambda \frac mM N_A 2^{-\frac t{T_{1/2}}}=44.8\cdot 10^{15}~Bq.A=λMmNA2−T1/2t=44.8⋅1015 Bq.
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