Answer:
Half life = 6.5 min
Step-by-step explanation:
Given data:
Total amount of isotope = 23.9 g
Amount left = 1.49 g
Time taken = 26 min
Half life of isotope = ?
Solution:
First of all we will count total number of half lives taken.
At time 0 = 23.9 g
At 1st half life = 23.9 g/2 = 11.95 g
At 2nd half life = 11.95 g/2 = 5.97 g
At 3rd half life = 5.975 g /2 = 2.98 g
At 4th half life = 2.9875 g/2 = 1.49 g
Half life:
Half life = Time elapsed/ number of half lives
Half life = 26 min/ 4
Half life = 6.5 min