It takes 10 years for the substance z to decay from 48g to 3g
Explanation:
Given:
Half life of z = 2.5 years
Final amount of Z = 3 g
Initial amount of Z = 48 g
According to the question, it takes 2.5 years for substance Z to reduce to half.
So,
In 2.5 years, the amount of z = [tex]\frac{48}{2} = 24g\\\\[/tex]
In next 2.5 years, the amount of z = [tex]\frac{24}{2} = 12 g\\\\[/tex]
In next 2.5 years, the amount of z = [tex]\frac{12}{2} = 6g[/tex]
In next 2.5 years, the amount of z = [tex]\frac{6}{2} = 3g[/tex]
To reduce the amount from 48g to 3g, total years = 2.5 + 2.5 + 2.5 + 2.5
= 10 years
Therefore, it takes 10 years for the substance z to decay from 48g to 3g
