When combining two unit doses of F-18 FDG, what is the required volume to draw from one unit dose to achieve a dose of 14 mCi at 1400?

To determine the required volume to draw from one unit dose of F-18 FDG in order to achieve a total activity of 14 mCi at 1400, we must consider the activity of the original unit doses, which typically contain a specific quantity of radioactivity.

Assuming each unit dose contains an equal amount of radioactivity, when combining two unit doses, the activity available will sum up from both doses. Therefore, if one unit dose contains 10 mCi, the combined activity from two doses will be 20 mCi. In this scenario, to obtain 14 mCi from the combined doses, we need to establish how much of that total would be extracted from one of the unit doses.

The calculation involves proportions based on the total desired dose and the total activity available. If one unit dose contributes equally to the total, it can be expressed as a fraction of the total combined activity. If the combined total from the two doses is 20 mCi, and we require 14 mCi, you would be looking at drawing from the initial concentration of a single dose in a specific volume.

When calculating the volume that corresponds to 14 mCi, if the total activity from both doses is 20 mCi, then to