The mass percent of carbon in a typical human is 18%, and the mass percent of 14c in natural carbon is 1.6 × 10-10%. assuming a 190.-lb person, how many decay events per second occur in this person due exclusively to the β-particle decay of 14c? for 14c, t1/2 = 5730 years

4066 decay/s

Explanation:

Given that:-

The weight of the person is:- 190 lb

Also, 1 lb = 453.592 g

So, weight of the person = 86182.6 g

Also, given that carbon is 18% in the human body. So,

Carbon-14 is of the carbon in the body. So,

Also,

14 g of Carbon-14 contains   atoms of carbon-14

So,  

of Carbon-14 contains   atoms of carbon-14

Atoms of carbon-14 =  

Given that:

Half life = 5730 years

Where, k is rate constant

So,  

The rate constant, k = 0.00012 years⁻¹

Also, 1 year = s

So, The rate constant, k = s⁻¹ =

Thus, decay events per second = = = 4066 decay/s