Problem: The half-life of carbon-14 is 5730 years. If a sample initially contains 2.67 mg carbon-14, what mass remains in the sample after 2.40 ξ 104 years?a. 0.67 mgb. 1.62 mgc. 2.15 mgd. 0.15 mge. 1.22 mg

FREE Expert Solution

We’re being asked to determine the mass of C-14 remaining after 2.4x104 years if there are 2.67 mg initially 


Recall that radioactive/nuclear decay of isotopes follows first-order kinetics, and the integrated rate law for first-order reactions is:


ln[N]t = -kt +ln[N]0


where:

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Problem Details

The half-life of carbon-14 is 5730 years. If a sample initially contains 2.67 mg carbon-14, what mass remains in the sample after 2.40 ξ 104 years?

a. 0.67 mg

b. 1.62 mg

c. 2.15 mg

d. 0.15 mg

e. 1.22 mg

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