Tritium, or hydrogen- 3 , is formed in the upper atmosphere...

Tritium, or hydrogen- 3 , is formed in the upper atmosphere by cosmic rays, similar to the formation of carbon-14. Tritium has been used to determine the age of wines. A certain wine that has been aged in a bottle has a tritium content only $70 \%$ of that in a similar wine of the same mass that has just been bottled. How long has the aged wine been in the bottle? The half-life of tritium is $12.3 \mathrm{y}$.

Key Concepts

Radioactive Decay

Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation in the form of particles or electromagnetic waves. This phenomenon occurs at a characteristic rate for each radioactive substance, and it underlies many important applications, from medical treatments to archaeological dating.

Half-Life

The half-life of a radioactive substance is the time required for half of a given amount of the substance to decay. This concept provides a measure of the rate at which radioactive decay occurs and is crucial for determining the age of objects via radiometric dating.

Exponential Decay Law

The exponential decay law mathematically describes how the quantity of a radioactive substance decreases over time. It states that the remaining amount is proportional to an exponential function of time, which is fundamental when calculating the age of a sample based on its remaining radioactive content.

Decay Constant

The decay constant is a parameter that quantifies the probability per unit time that a nucleus will decay. It is directly related to the half-life of a radioactive substance and is used in the exponential decay formula to determine the time elapsed since the substance was at a known initial concentration.

Radiometric Dating

Radiometric dating is a technique used to date materials such as rocks, water, and archaeological findings by comparing the remaining amount of a radioactive isotope to its half-life. This method allows scientists to estimate the age of a sample by using the principles of radioactive decay.

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