A radioactive isotope with an activity (intensity) of 80.0 mCi per vial is delivered to a hospit

step 1 This question is mostly a simple unit conversion question. However, in order to carry out a unit

A radioactive isotope with an activity (intensity) of 80.0...

A radioactive isotope with an activity (intensity) of $80.0 \mathrm{mCi}$ per vial is delivered to a hospital. The vial contains 7.0 cc of liquid. The instruction is to administer $7.2 \mathrm{mCi}$ intravenously. How many cubic centimeters of liquid should be used for one injection?

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Key Concepts

Radioactive Activity

This concept refers to the amount of decay events occurring per unit time from a radioactive substance, commonly measured in millicuries (mCi). Understanding radioactive activity is crucial for determining the intensity of a radioactive material and ensuring that correct doses are administered or handled safely.

Concentration and Dilution

Concentration in this context is the amount of radioactive material per unit volume, calculated by dividing the total activity by the total volume of the solution. This concept is important when preparing solutions for dosage, as it allows for precise measurement of the active ingredient in a given amount of liquid.

Proportional Reasoning

Proportional reasoning involves setting up ratios or proportions to solve problems where one quantity varies directly with another. In this case, it is used to determine how much volume of a solution is needed to achieve a specific activity dose, by comparing the known concentration to the desired dosage.

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