The dosage of technetium-99m for a lung scan is 20 μCi/kg of body weight.How many millicuries should be given to a 65.0-kg patient? (1mCi=1000μCi)Suppose a person absorbed 54mrads of alpha radiation. What would be the dose equivalent in mrems?
20 uCi = 0.020 mCi
0.020 mCi/kg x 65 kg = ? mCi.
To find the dosage of technetium-99m for a 65.0-kg patient, we can use the given dosage of 20 μCi/kg of body weight.
1 mCi equals 1000 μCi, so for a 65.0-kg patient, the dosage in millicuries (mCi) would be:
Dosage (mCi) = Dosage (μCi/kg) × Body weight (kg)
= 20 μCi/kg × 65.0 kg
= 1300 μCi
Converting μCi to mCi, we divide by 1000:
Dosage (mCi) = 1300 μCi / 1000
= 1.3 mCi
Therefore, a 65.0-kg patient should be given 1.3 millicuries of technetium-99m for a lung scan.
Now, let's calculate the dose equivalent in mrems for a person who absorbed 54 mrads of alpha radiation.
Dose equivalent (mrems) is calculated using the formula:
Dose equivalent (mrems) = Absorbed dose (mrads) × Quality factor (QF)
Since the quality factor (QF) for alpha radiation is 20, we can plug in the values:
Dose equivalent (mrems) = 54 mrads × 20
= 1080 mrems
Therefore, the dose equivalent in mrems for a person who absorbed 54 mrads of alpha radiation is 1080 mrems.
To determine the dosage in millicuries (mCi) for a 65.0-kg patient, you can follow these steps:
1. Understand the given information:
- Dosage for a lung scan: 20 μCi/kg
- Conversion factor: 1 mCi = 1000 μCi
- Patient's weight: 65.0 kg
2. Calculate the dosage in μCi for the patient:
Dosage in μCi = 20 μCi/kg × 65.0 kg
3. Convert the dosage from μCi to mCi:
Dosage in mCi = (Dosage in μCi) / 1000
Now, let's calculate the dosage for the patient:
Dosage in μCi = 20 μCi/kg × 65.0 kg = 1300 μCi
Dosage in mCi = 1300 μCi / 1000 = 1.3 mCi
Therefore, the patient should receive a dosage of 1.3 millicuries (mCi) for the lung scan.
Moving on to the second question about dose equivalent:
To find the dose equivalent in millirems (mrems) when given the absorbed alpha radiation dose in millirads (mrads), you need the conversion factor:
1 rem = 1000 mrem
Now, let's calculate the dose equivalent:
Dose equivalent in mrems = (Absorbed alpha radiation dose in mrads) / 10
In this case:
Absorbed alpha radiation dose = 54 mrads
Dose equivalent in mrems = 54 mrads / 10 = 5.4 mrems
Therefore, the dose equivalent for the absorbed alpha radiation would be 5.4 mrems.