The half-life of tritium is 12 yr. If the TFTR fusion...

The half-life of tritium is 12 yr. If the TFTR fusion reactor contains $50 \mathrm{m}^{3}$ of tritium at a density equal to $1.5 \times 10^{14}$ particles $/ \mathrm{cm}^{3},$ how many curies of tritium are in the plasma? Compare this with a fission reactor supply of $4 \times 10^{10} \mathrm{Ci}$

Key Concepts

Half-Life

Half-life is the time required for half of the radioactive nuclei in a sample to decay. It is a critical parameter in nuclear decay calculations and helps determine how quickly a radioactive substance diminishes over time.

Decay Constant

The decay constant is a probability rate at which a nucleus decays and is directly related to the half-life by the relation ? = ln(2)/half-life. This constant helps in calculating the activity of the radioactive sample at any given time through the formula A = ?N, where N is the number of radioactive nuclei.

Activity Calculation

Activity refers to the number of decays per unit time in a radioactive sample. It is commonly measured in curies or becquerels, with 1 curie defined as 3.7×10^10 decays per second. Activity is calculated using the relationship A = ?N, linking the decay constant and the total number of radioactive atoms in the sample.

Unit Conversions in Nuclear Physics

Calculating the activity of a radioactive sample often requires converting volumetric measures and particle densities into total particle counts, along with converting the resulting activity into consistent units such as curies. This involves understanding and executing unit conversions, like converting cubic meters to cubic centimeters, which is essential for accurate calculations.

Comparative Analysis of Radioactive Inventories

In nuclear engineering, comparing the activity levels of different reactor types (such as fusion versus fission reactors) involves assessing their radioactive inventories in terms of curies or other units. This comparison is crucial for understanding relative safety, fuel handling, and waste management challenges associated with different nuclear processes.

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