Question

A 100g sample of Carbon-14 has a half-life of 5 years. How much Carbon-14 is left after 10 years?

Answer 1

Answer: The amount of carbon-14 left after 10 years is 25 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 =
`\frac{\text {given time}}{\text {half life}}=(10)/(5)=2`

Putting values in above equation, we get:

`a=(100g)/(2^2)`

`a=(100g)/(4)=25g`

Therefore, the amount of carbon-14 left after 10 years is 25 g