Radioactive decay is a first`-` order process. Radioactive carbon in wood sample decays with a half`-` life of 5770 years. What is the rate constant `(` in years `)` for the decay ? What fraction would remains after 11540 years ?

Explanation

Disintegration constant , `k= (0.6932)/(t_(1/2))`
( or rate constant )
` k = (0.6932)/(5770) = 0.0012 "yr"^(-1)`
`k = (0.6932)/(5770) =0.00012 "yr"^(-1)` …(Eqn .10)
Again , for the radioactive distinguish process say ,
`{:(a,,,"Intial concentration"),(A,to,"Product",),((a-x),,x,"Concentration after 11540 years"):}`