Physics 9702 · AS & A Level · Radioactive decay

Radioactive decay — practice question

Some of the water is polluted with radioactive iodine-131 ($^{131}_{53}\text{I}$). The activity of the iodine-131 in $1.0\,\text{kg}$ of this water is $460\,\text{Bq}$. Iodine-131 has a half-life of $8.1\,\text{days}$.
(a)[2]

Define the term radioactive half-life.

(b(i))[3]

Calculate the number of iodine-131 atoms present in $1.0\,\text{kg}$ of this water.

(b(ii))[2]

Since $1.0\,\text{mol}$ of water has a mass of $18\,\text{g}$, calculate $$\frac{\text{number of molecules of water in }1.0\,\text{kg of water}}{\text{number of atoms of iodine-131 in }1.0\,\text{kg of contaminated water}}.$$

(c)[3]

The permitted activity limit for iodine-131 in water has been fixed at $170\,\text{Bq kg}^{-1}$. Calculate the time, in days, for the activity of the contaminated water to fall to this acceptable level.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Time taken for the number of atoms/activity to decrease to half the initial value

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI