The half-life of carbon-14 is 5,730 years. A fossil that is 22,920 years old would have what amount of the normal proportion of carbon-14 to carbon-12

Answer : The amount of the normal proportion of carbon-14 to carbon-12 is, 1.07

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  = 22920 years

a = let initial amount of the reactant = 100

a - x = amount left after decay process = ?

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

Now we have to calculate the amount of the normal proportion of carbon-14 to carbon-12.

Thus, the amount of the normal proportion of carbon-14 to carbon-12 is, 1.07