A large nuclear power reactor produces approximately 3000 MW of power in its core. Three months

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A large nuclear power reactor produces approximately 3000 MW...

A large nuclear power reactor produces approximately 3000 $\mathrm{MW}$ of power in its core. Three months after a reactor is shut down, the core power from radioactive by-products is 10.0 $\mathrm{MW}$ . Assuming each emission delivers 1.00 $\mathrm{MeV}$ of energy to the power, find the activity in becquerels three months after the reactor is shut down.

Key Concepts

Power and Energy Relationship

Power is defined as the rate of energy transfer per unit time, typically measured in watts (joules per second). By dividing the total power output by the energy released per individual decay event, one can determine the number of decay events per second, which is directly related to the radioactive activity.

Unit Energy Conversion

In nuclear physics, energy is often described in electron volts (eV), with 1 MeV equating to 1.602 × 10?¹³ joules. This conversion is crucial when linking the energy released in individual decay events to larger-scale unit measures such as joules or watts used in evaluating reactor power.

Radioactive Activity

Radioactive activity is a measure of the number of disintegrations occurring per unit time in a radioactive sample, typically expressed in becquerels (Bq), where one Bq corresponds to one decay per second. It connects microscopic decay events with macroscopic energy outputs by considering the energy released per decay event.

Reactor Decay Heat

After a nuclear reactor is shut down, the radioactive decay of fission products continues to release energy. This residual heat, called decay heat, is significant for reactor safety analyses and cooling system designs even when active fission has ceased, and it necessitates managing the energy released by products undergoing radioactive decay.

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