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Answer: Strontium-90 is one of the products of the fission

Chapter 19, Problem 19.31

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QUESTION:

Strontium-90 is one of the products of the fission of uranium-235. This strontium isotope is radioactive, with a half-life of 28.1 yr. Calculate how long (in yr) it will take for 1.00 g of the isotope to be reduced to 0.200 g by decay.

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QUESTION:

Strontium-90 is one of the products of the fission of uranium-235. This strontium isotope is radioactive, with a half-life of 28.1 yr. Calculate how long (in yr) it will take for 1.00 g of the isotope to be reduced to 0.200 g by decay.

ANSWER:

Step 1 of 3

Strontium-90 is one of the products of the fission of uranium-235. This strontium isotope is radioactive, with a half-life of  yr.

We need to calculate how long (in yre it take for  of the isotope to be reduced to  by decay.

First order kinetics is characteristic for all radioactive decays.

where

 is the number of radioactive nuclei at time

 is the number of radioactive nuclei at time zero,

 is rate constant  

 is time.

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