Iodine-131 decays to form xenon-131. the half-life of this reaction is 8.07 days. from a 200-g sample of iodine-131, how much of the sample is xenon-131 after 16.14 days?

Answer : The amount of the sample left is, 50.25 grams

Solution : Given,

As we know that the radioactive decays follow first order kinetics.

First we have to calculate the rate constant of a radioisotope.

Formula used :

The expression for rate law for first order kinetics is given by :

where,

k = rate constant  =

t = time taken for decay process  = 16.14 days

a = initial amount of the reactant  = 200 g

a - x = amount left after decay process  = ?

Putting values in above equation, we get the value of amount left.

Therefore, the amount of the sample left is, 50.25 grams

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