Using half life to determine the age of a piece of coal

Using half life to determine the age of a piece of coal

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial covers compound interest formulas, focusing on continuous compounding and the carbon-14 half-life concept. It explains how to determine the rate of decay and solve for time using logarithms, with a practical example involving ancient coal. The tutorial concludes with a detailed calculation to find the age of the coal based on its carbon content.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the natural logarithm (Ln) in the calculations discussed?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to isolate the variable T when calculating the age of a piece of coal with 15% carbon.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Calculate the age of a piece of coal that contains 15% of the carbon compared to a piece today.

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