A sample of an element decayed from 15 grams to 9 grams in 1

A sample of an element decayed from 15 grams to 9 grams in 11 days. Find the half life of this element to one decimal place. break down the steps please

Solution

Solution:

As we know;

The decay of a radioactive element follow the decay equation:

N =  N₀ e–t

here;

9 = 15 e–(11)

=> e–(11) = 0.6

=> –(11) = – 0.51083

=> = 0.04644

and as we know the half life of a radioactive element can be given as:

T_1/2 = 0.693/

=> T_1/2 = 14.9225 days