Question

14. Carbon-14 emits beta radiation and decays with a half-life (t) of 5730 years. Assume

that you start with a mass of 6000 g of carbon 14. How many grams of the isotope
remains at the end of four half-lives? You must show your work to receive credit.

Answer 1

Answer: 375 g

Step-by-step explanation:

Formula used :

`a=(a_o)/(2^n)`

where,

a = amount of reactant left after n-half lives = ?

`a_o` = Initial amount of the reactant = 100 g

n = number of half lives = 4

Putting values in above equation, we get:

`a=(6000)/(2^4)`

`a=375g`

Therefore, the amount of carbon-14 remains at the end of four half-lives is 375 g