Enter your answer in the provided box. the usefulness of radiocarbon dating is limited to objects no older than 50,000 yr. what percent of the carbon−14, originally present in a 7.0−g sample, remains after this period of time? the half-life of carbon−14 is 5.73 × 103 yr.

Answer : The percent of the carbon−14 left is, 0.242 %

Explanation :

This is a type of radioactive decay and all radioactive decays follow first order kinetics.

To calculate the rate constant, we use the formula :

Now we have to calculate the amount left.

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

where,

k = rate constant  =

t = time taken for decay process  = 50000 years

a = initial amount or moles of the reactant  = 7 g

a - x = amount or moles left after decay process  = ?

Putting values in above equation, we get:

The amount left of carbon-14 = 0.0169 g

Now we have to calculate the percent of the carbon−14 left.

Therefore, the percent of the carbon−14 left is, 0.242 %

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