Carbon-14 has a half-life of 5,700 years. A sample of carbon-14 has a mass of 11.0 g. How much of
this substance will remain after 10,400 years?

Explanation:

= Half-life of carbon = 5700 years

t = Time at which the remaining mass is to be found = 10400 years

= Initial mass of carbon = 11 g

Decay constant is given by

Amount of mass remaining is given by

The amount of the substance that remains after 10400 years is .

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