A Test Tube of an Isotope Having a Decay Constant $10 ^{- 6}$

question 49

Short Answer

A test tube of an isotope having a decay constant of 0.765 × $10 ^{- 6}$ $\mathrm { s } ^ { - 1 }$ contains 3.0 × $10^{17}$ nuclei of this isotope.
(a)What is the half-life of this isotope?
(b)What is the initial activity (in Bq)of the isotope?
(c)What is the activity of the isotope after 12 days?

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Definitions:

Economic Cost

The total cost of choosing one action over another, including both direct costs and any lost opportunity costs.

Utility

The satisfaction or benefit derived from consuming goods and services.

Earning Power

The ability of an individual, company, or entity to generate income over time, often assessed for future potential.

Value of Time

This concept refers to the economic value of an individual's time, often measured by what they would be willing to pay to save time or by their wage rate.