Answered: The decay constant for 198Au is 2.97 x…

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The decay constant for 198Au is 2.97 x 10-6 s-1. Suppose we had a 1.00-ug sample of 198Au. What is its activity?

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Question

The decay constant for 198Au is 2.97 x 10-6 s-1. Suppose we had a 1.00-ug sample of 198Au. What is its activity?

Expert Solution

Concept and Principle:

Radioactive decay is the process by which an unstable nucleus spontaneously loses energy by emitting ionizing particles and radiation. They reduce the number of protons or neutrons to attain a stable configuration.

The rate at which this decay takes place in a given sample of radioactive material is called activity. A higher activity implies more decay per second.

Activity depends on the number of radioactive nuclei and the decay probability per nucleus per second called decay constant. It is given by,

$a = N λ$

Here N is the number of radioactive nuclei and λ is the decay constant.

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