Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #9dcb1

1 Answer

Jul 13, 2017

The ageof the cloth is #=7574.6# years

Explanation:

The half life of #C-14# is #t_(1/2)=5730y#

The radioactive constant is #lambda=ln2/t_(1/2)#

#lambda=ln2/5730=0.000120968y^-1#

The radioactive decay equation is

#M_0/(M(t))=e^(lambdat)#

#t=1/lambda*ln(M_0/(M(t)))#

#M(t)=0.4M_0#

#t=8266.64ln(1/0.4)=7574.6y#

Related questions

See all questions in Nuclear Half-Life Calculations

Impact of this question

1437 views around the world

You can reuse this answer
Creative Commons License