Allopurinol 115 mg/m² is prescribed to a client who weighs 55 kg and is 148 cm tall. Allopurinol is supplied in vials containing 25 mg/mL after reconstitution.
How much solution should a nurse draw for one dose?
4.6 mL
5.9 mL
66.9 mL
6.49 mL
12.4 mL
The Correct Answer is D
To find the amount of solution to draw for one dose, you need to calculate the following:
- The body surface area (BSA) of the client in square meters (m²) using the formula: BSA (m²) = √(Height (cm) x Weight (kg) / 3600)
- The dose of allopurinol in milligrams (mg) using the formula: Dose (mg) = BSA (m²) x Prescribed dose
(mg/m²)
- The volume of solution in milliliters (mL) using the formula: Volume (mL) = Dose (mg) / Concentration (mg/mL)
First, use the formula for BSA to find the client's body surface area in square meters:
BSA (m²) = √(Height (cm) x Weight (kg) / 3600)
Since the client's height is 148 cm and weight is 55 kg, plug in these values into the formula:
BSA (m²) = √(148 cm x 55 kg / 3600)
Simplify and solve for the BSA:
BSA (m²) = 1.41 m²
Next, use the formula for dose to find the amount of allopurinol in milligrams:
Dose (mg) = BSA (m²) x Prescribed dose (mg/m²)
Since the client's BSA is 1.41 m² and the prescribed dose is 115 mg/m², plug in these values into the formula:
Dose (mg) = 1.41 m² x 115 mg/m²
Simplify and solve for the dose:
Dose (mg) = 162.15 mg
Then, use the formula for volume to find the amount of solution in milliliters:
Volume (mL) = Dose (mg) / Concentration (mg/mL)
Since the dose is 162.15 mg and the concentration is 25 mg/mL, plug in these values into the formula:
Volume (mL) = 162.15 mg / 25 mg/mL
Simplify and solve for the volume:
Volume (mL) = 6.486 mL
Therefore, the nurse should draw **6.486 mL** of solution for one dose of allopurinol.
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Related Questions
Correct Answer is C
Explanation
The nurse should add 250 mL of water to the formula to dilute it to half strength.
This answer is correct because it is based on a simple ratio and proportion calculation. The nurse can set up a proportion as follows:
250 mL / 1 = x mL / 0.5
Cross-multiplying and solving for x gives:
x = 500 mL
Therefore, the nurse should add 250 mL of water to the formula to make a total volume of 500 mL, which is half the concentration of the original formula.
Correct Answer is B
Explanation
The nurse should administer 60 mL of the supplement in a day.
This answer is correct because it is based on a simple unit conversion and multiplication calculation. The nurse can convert 60 mEq to 20 mL by using the ratio given on the botle label, as follows:
30 mEq / 10 mL = 60 mEq / x mL
Cross-multiplying and solving for x gives:
x = 20 mL
Therefore, the nurse should administer 20 mL of the supplement to deliver 60 mEq of the medication to the patient. Since the order is for three times a day, the nurse should multiply 20 mL by 3 to get the total daily dose, which is 60 mL.
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