A wooden artifact is found in an ancient tomb. Its carbon-14 activity is measure

Question

A wooden artifact is found in an ancient tomb. Its carbon-14

activity is measured to be 55.0% of that in a fresh sample of wood from the same region. Assuming the same amount of 14C was initially present in the artifact as is now contained in the fresh sample, determine the age of the artifact.
yr

A wooden artifact is found in an ancient tomb. Its carbon-14 activity is measured to be 55.0% of that in a fresh sample of wood from the same region. Assuming the same amount of 14C was initially present in the artifact as is now contained in the fresh sample, determine the age of the artifact.

Explanation / Answer

Activity od 14C sample = 55 %

Half life of 14C = 3.01 * 10^9min

As we know that

Decay constant

? = 0.693 / T 1/2

= 0.693 / 3.01 *10^9 min

= 2.30 * 10^-10/ min

Rutherford soddy law

R / Ro = e^-?t

55 / 100 = e^-?t

e^?t = 10/5.5

?t = log e ( 10 / 5.5 )

=0.446287

The age of air craft

t = 0.446287 / 2.30 * 10-10

t = 0.259929131

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