Answer:
Half life of radioactive isotope is 8.1 hours.
Step-by-step 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.