   Chapter 10, Problem 83AP ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

# A piece of wood from an ancient Egyptian tomb is tested for its carbon-14 activity. It is found to have an activity per gram of carbon of A = l0 decay/min.g. What is the age of the wood?

To determine

Theage of wood.

Explanation

Given:

Final decay of carbon atom A=10decay/ming.

Formula used:

Expression for half life is given by,

t12=0.693λ

The relationship between initial and final activity is given by,

A=A0eλT

Calculation:

The half life of carbon dating t12=5730y.

Decay constant can be calculated as,

λ=0.693t 1 2 =0.6935730y=0.693( 5730y)( 31536000s 1y )=3.835×1012s-1

The initial decay of carbon A0=0.25decay/sg

Age of wood can be calculated as,

λT=ln(A A 0 )3

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