The half-life of carbon-14 is 5730 if you start with 10 grams and 11,460 years passed by how many grams of carbon-14 will be

Answer : The amount of carbon-14 remaining will be, 2.5 grams.

Explanation :

Half-life = 5730 years

First we have to calculate the rate constant, we use the formula :

Now we have to calculate the time passed.

Expression for rate law for first order kinetics is given by:

where,

k = rate constant  =

t = time passed by the sample  = 11460 years

a = initial amount of the reactant  = 10 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

Therefore, the amount of carbon-14 remaining will be, 2.5 grams.