Final answer:
Approximately 0.8 ml of the Tc99m solution needs to be withdrawn for a 20 mCi dose at 1300.
Step-by-step explanation:
To find out how much of the Tc99m solution needs to be withdrawn for a 20 mCi dose, we can use a proportion method. Let's set up the proportion:
The initial amount of Tc99m: 230 mCi
The initial volume of Tc99m: 9 ml
The desired dose: 20 mCi
The unknown volume to be withdrawn: x
Using the proportion:
(Initial amount of Tc99m) / (Initial volume of Tc99m) = (Desired dose) / (Unknown volume to be withdrawn)
Substituting the given values:
(230 mCi) / (9 ml) = (20 mCi) / (x)
Simplifying the equation:
230 mCi * x = 9 ml * 20 mCi
x = (9 ml * 20 mCi) / 230 mCi
x = 0.7826 ml (rounded to 0.8 ml)
Therefore, approximately 0.8 ml of the Tc99m solution needs to be withdrawn for a 20 mCi dose at 1300.