Radioactivity in the Bones Because of its chemical...

Radioactivity in the Bones Because of its chemical similarity to calcium, ${ }_{38}^{90} \mathrm{Sr}$ health risk. What percentage of ${ }_{38}^{90} \mathrm{Sr}$ present initially still exists after a period of (a) $50.0 y$ (b) $60.0 \mathrm{y}$, and (c) $70.0 \mathrm{y} ?$

Key Concepts

Radioactive Decay

Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation. This fundamental concept in nuclear physics explains how isotopes transform into different elements or isotopes over time through the spontaneous disintegration of their nuclei, and it is essential for understanding the behavior of radionuclides in various environmental and biological contexts.

Half-life

The half-life of a radioactive isotope is the time required for half of the atoms in a sample to decay. It is a measure of the rate of decay and is crucial in calculating the remaining quantity of a radioactive substance over time. The concept of half-life allows scientists to predict how long a radioactive material will remain active and assess potential health risks associated with its persistence in an environment, such as accumulation in bones due to chemical similarity with calcium.

Exponential Decay Law

The exponential decay law describes the mathematical relationship governing radioactive decay. It states that the quantity of a radioactive substance decreases exponentially over time, following the equation N(t) = N0 * (1/2)^(t/T1/2), where N(t) is the remaining quantity at time t, N0 is the initial quantity, and T1/2 is the half-life. This law provides the fundamental framework for calculating the percentage of a radioactive substance remaining after a given period.

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