Question

What is the age of a sample if there are 6 grams of an element that have not decayed outof an original 24 grams and has a half-life of 8yrs a. 8yrs b. 50yrs c. 29yrs d. 16yrs

Answer 1

Answer:

d ) 16 years

Explanation:

If n be number of half years passed then

$[tex]\frac{m}{m_0} =\sqrt[n]{\frac{1}{2} }$[/tex]

m is mass undecayed m₀ is original mass

Here m = 6 g

m₀ =24 g

Putting these values

$\frac{6}{24} =\sqrt[n]{\frac{1}{2} }$

n = 2 half lives

age = 2 x 8 = 16 years

= 16 years