# Radiometric Dating/Example/Radium in Lead

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## Example of Radiometric Dating

The radium in a piece of lead decays at a rate governed by a first-order reaction.

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### Example: Percentage after $1000$ Years

Let $Q$ be a sample of lead.

Let it be established that $10 \%$ of the radium decays in $200$ years.

After $1000$ years, there will be approximately $59.05 \%$ of the original amount of radium in $Q$.

## Sources

- 1963: Morris Tenenbaum and Harry Pollard:
*Ordinary Differential Equations*... (previous) ... (next): Chapter $1$: Basic Concepts: Lesson $1$: How Differential Equations Originate: Exercise $1.1$