Strontium-90 has a half-life of 29 years. In how many years will a 1 kg sample of strontium-90 decay and reduce to 0.25 kg of strontium-90?

Verified Answer :

58 years.
1kg - 0 years
0.5kg - 29 years
0.25kg - 58 years

Answer:

The weight of Strontium-90 will reduce to \(0.25\) Kg in \(58\) years.

Explanation:

Given -

Radioactive isotope sample of Strontium-90 \(= 1\)Kg

Half life of Strontium-90 \(= 29\) years

After first half life (i.e 29 years), the weight of Strontium-90

\(= \frac{1}{2}\\= 0.5\) Kg

After second half life (i.e 58 years), the weight of Strontium-90

\(= \frac{0.5}{2}\\= 0.25\) Kg

Thus, the weight of Strontium-90 will reduce to \(0.25\) Kg in \(58\) years.