The decay rate of the radioisotope on the previous morning at 10 am is 38.7 million decays per second.
Initial decay rate of the radioisotope
The initial mass of the radioisotope is calculated as follows;
N = N₀(¹/₂)^t/h
where;
- h is half life = 32 hours
- t is time of day, from 8 am to 10 am previous day = 22 hours
24 M/s = N₀(¹/₂)^(22/32)
24 M/s = N₀(0.62)
N₀ = (24 M/s)/(0.62)
N₀ = 38.7 M/s
Thus, the decay rate of the radioisotope on the previous morning at 10 am is 38.7 million decays per second.
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