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blagie [28]
3 years ago
7

Manganese-56 decays by beta emission and has a half-life of 2.6 hours. How many half-lives are there in 24 hours? How many mg of

a 20.0 mg sample will remain after five half-lives?
Chemistry
1 answer:
Sever21 [200]3 years ago
8 0

Explanation:

Given that,

Manganese-56 decays by beta emission and has a half-life of 2.6 hours.

We need to find no of half lives in 24 hours. It can be calculated by dividing 24 hours by 2.6 hours. So,

T=\dfrac{24}{2.6}=9.23\ \text{half lives}

Let x mg of a2 0 mg sample remain after 5 half-lives.

x=20\ mg\times \dfrac{1}{2^5}\\\\x=0.625\ \text{mg}

Hence, there are 9.23 half lives and 0.625 mg of sample will remain after 5 half lives.

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