The half-life of the radioactive isotope polonium-218 is 3.05 minutes. How long will it take for the activity of a sample of polonium-218 to decrease from 2.81E4 Ci to 3.52E3 Ci?

It will take 9.13 minutes for the sample.

Explanation:

Expression for rate law for first order kinetics is given by:

where,

k = rate constant  

t = age of sample

a = initial amount of the reactant =

a - x = amount left after decay process =

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

b) for activity to decrease from 2.81E4 Ci to 3.52E3 Ci:

Thus it will take 9.13 minutes for the sample.

The time after which 99.9% reactions gets completed is 40 minutes

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