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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?

Respuesta :

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

Answer:

The weight of Strontium-90 will reduce to [tex]0.25[/tex] Kg in [tex]58[/tex] years.

Explanation:

Given -

Radioactive isotope sample of Strontium-90 [tex]= 1[/tex]Kg

Half life of Strontium-90 [tex]= 29[/tex] years

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

[tex]= \frac{1}{2}\\= 0.5[/tex] Kg

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

[tex]= \frac{0.5}{2}\\= 0.25[/tex] Kg

Thus, the weight of Strontium-90 will reduce to [tex]0.25[/tex] Kg in [tex]58[/tex] years.

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