Explanation Given: Age of the shroud is given as 660 years old. Calculation: Use the law of natural decay. d A d t = k A (1) Note that, A ( 0 ) = A 0 . Here, k is the constant of proportionality and A 0 is the initial amount of burned wood. Separate the variables of equation (1) and integrate. d A A = k d t ∫ 1 A d A = k ∫ d t ln A = k t + c A = e k t + c Simplify the above equation. A = e c e k t = C e k t (2) Substitute A ( 0 ) = A 0 in equation (2). A 0 = C e k ( 0 ) = C Substitute A 0 for C in equation (2). A = A 0 e k t (3) The half-life period of C − 14 is 5730 years

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ISBN: 9781284127003

Author: ZILL

Publisher: JONES+BARTLETT LEARNING,LLC (CC)

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Chapter 2.7, Problem 12E

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Determine the percentage of the original amount of C−14 remained in the cloth as of 1988.

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Determine the percentage of the original amount of C − 14 remained in the cloth as of 1988 .

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Determine the percentage of the original amount of C−14 remained in the cloth as of 1988.

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Chapter 2 Solutions