In the 1950 excavation at Nippur, a city of Babylonia,...

In the 1950 excavation at Nippur, a city of Babylonia, charcoal from a roof beam gave a count of $4.09 \mathrm{dis} / \mathrm{min} / \mathrm{g}$. Living wood gave 6.68 disintegrations. Assuming that this charcoal was formed during the time of Hammurabi's reign, find an estimate for the likely time of Hammurabi's succession.

Key Concepts

Radioactive Decay

Radioactive decay is a natural process by which unstable atomic nuclei lose energy by emitting radiation. This process occurs at a predictable rate, characterized by the half-life, which is the time required for half of a sample of the radioactive isotope to decay. Understanding this concept is crucial for calculating the age of archaeological samples in radiocarbon dating.

Half-life

The half-life is a key concept in radioactive decay, indicating the time it takes for half of the radioactive isotope in a sample to decay. For Carbon-14, knowing the half-life enables scientists to relate the remaining percentage of the isotope to the sample's age, making it a foundational element in radiocarbon dating calculations.

Radiocarbon Dating

Radiocarbon dating is an archaeological dating method used to determine the age of organic materials by measuring the amount of Carbon-14, a radioactive isotope, remaining in the sample. The principle is based on the constant rate of decay of Carbon-14 after the death of the organism, which stops replenishing the isotope, allowing scientists to estimate the time since the organism's death.

Activity Measurement

Activity measurement in the context of radiocarbon dating refers to the quantification of radioactive disintegrations per unit time and mass, often expressed as disintegrations per minute per gram. This measurement serves as an indicator of the remaining Carbon-14 in a sample, which, when compared to that in a living organism, is used to calculate the time elapsed since death.

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