STANDARDChemistry-Nuclear Chemistry

STANDARD Chemistry Radioactive Decay MCQ Question

Type: MCQ-numerical-Medium

The half-life for radioactive decay of C-14 is 5730 years. An archaeological artifact containing wood had only 80% of the C-14 found in a living tree. The age of the sample is:

A

1485 years

B

1845 years

C

530 years

D

4767 years

Correct Answer

Option B

Detailed Explanation

Using the first order kinetics formula for radioactive decay, t = rac{2.303 imes t_{1/2}}{\lambda} \log rac{[R_0]}{[R]}, the age of the sample is calculated to be 1845 years.

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