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Answer:

Half life of radioactive isotope is 8.1 hours.

Explanation:

Given data:

Total mass of sample = 500 g

Amount left after decaying 24.3 hours = 62.5 g

Half life of element = ?

Solution:

First of all we will calculate the number of half lives.

at time 0 = 500 g

AT first half life = 500g/2 = 250 g

At second half life = 250g/2 = 125 g

At third half life = 125g/2 = 62.5 g

Total half life taken = 3

Half life = time elapsed/ number of half lives

Half life = 24.3h /3

Half life = 8.1 hours

Half life of radioactive isotope is 8.1 hours.

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