The half-life of a radioactive isotope is the amount of time it takes for half of the

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The half-life of a radioactive isotope is the amount of time it takes for half of the isotope in a sample to decay to its stable form.

Carbon-14 is a radioactive isotope that has a half-life of 5700 years.

It is given that the rate of decrease of the mass, m, of the carbon-14 in a sample is proportional to its mass.

A sample of carbon-14 has initial mass m0. What fraction of the original amount of carbon-14 would be present in this sample after 2500 years?

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