A 1,000g of C-14 is left to decay radioactively. The half-life of Carbon-14 is approximately 5,700 years. What fraction of the sample will remain after 17,100 years?

The fraction that is left is

Explanation:

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

where,

k = rate constant

t = age of sample

a = let initial amount of the reactant

a - x = amount left after decay process  

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

b) for 17100 years

Fraction of the sample remained =

The fraction that is left is