To treat a thyroid tumor, a patient must be given a 155-mCi dose of iodine-131, supplied in a vial containing 25 mCi/mL. What volume of solution must be administered? mL

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Problem Statement:**

To treat a thyroid tumor, a patient must be given a 155-mCi dose of iodine-131, supplied in a vial containing 25 mCi/mL. What volume of solution must be administered?

**Solution Section:**

- The iodine-131 is provided at a concentration of 25 mCi/mL.
- The required dose for the patient is 155 mCi.

To find the volume of the solution needed, use the formula:
\[
\text{Volume (mL)} = \frac{\text{Required Dose (mCi)}}{\text{Concentration (mCi/mL)}}
\]

Substitute the values:
\[
\text{Volume (mL)} = \frac{155 \, \text{mCi}}{25 \, \text{mCi/mL}} = 6.2 \, \text{mL}
\]

Therefore, 6.2 mL of the iodine-131 solution must be administered to the patient.
Transcribed Image Text:**Problem Statement:** To treat a thyroid tumor, a patient must be given a 155-mCi dose of iodine-131, supplied in a vial containing 25 mCi/mL. What volume of solution must be administered? **Solution Section:** - The iodine-131 is provided at a concentration of 25 mCi/mL. - The required dose for the patient is 155 mCi. To find the volume of the solution needed, use the formula: \[ \text{Volume (mL)} = \frac{\text{Required Dose (mCi)}}{\text{Concentration (mCi/mL)}} \] Substitute the values: \[ \text{Volume (mL)} = \frac{155 \, \text{mCi}}{25 \, \text{mCi/mL}} = 6.2 \, \text{mL} \] Therefore, 6.2 mL of the iodine-131 solution must be administered to the patient.
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