The healthcare provider prescribes penicillin G benzathine 1,800,000 units intramuscular (IM) for a client with a bacterial infection. The prefilled syringe is labeled, "Penicillin G benzathine 1,200,000 units/2 mL." How many mL should the nurse administer to this client? (Enter numerical value only, rounded to the nearest whole number.)
The Correct Answer is ["3"]
Concentration of penicillin G benzathine: 1,200,000 units/2 mL (given on the syringe label)
Prescribed dose: 1,800,000 units
We need to find the volume (in mL) that delivers the prescribed dose (1,800,000 units) considering the available concentration.
Dosage calculation:
To administer the prescribed dose, we need to find the volume that contains at least 1,800,000 units.
Since the available concentration is 1,200,000 units/2 mL, one prefilled syringe provides 1,200,000 units.
We can calculate the number of syringes needed to deliver the prescribed dose:
Number of syringes = Prescribed dose (units) / Concentration per syringe (units)
Number of syringes = 1,800,000 units / 1,200,000 units/syringe
Number of syringes = 1.5 (round up to 2 since a partial dose wouldn't be sufficient)
2 mL per syringe x 2 syringes = 4 mL
However, the prefilled syringes likely come in whole-number doses. Checking the available options:
A single prefilled syringe provides 1,200,000 units (which is not enough).
Two prefilled syringes would provide a total of 2,400,000 units (more than enough).
Therefore, to ensure at least the prescribed dose is administered, the nurse should administer 3 mL.
This is achieved by using one and a half (rounded up to two) prefilled syringes.
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Related Questions
Correct Answer is ["4.8"]
Explanation
The vial is labeled as “100 mg per 4 mL.”
This means that each mL contains 25 mg of the medication (100 mg / 4 mL = 25 mg/mL).
The nurse needs to administer 120 mg of the medication.
To find out how many mL this is, we divide the dose by the concentration:
VolumeinmL = 120mg / 25mg/mL = 4.8mL
If rounding is required to the nearest tenth, the nurse should administer 4.8 mL of the medication.
Correct Answer is ["4.7"]
Explanation
Here's how to calculate the volume (mL) of the reconstituted ampicillin solution the nurse should administer for each dose:
1. We know the following:
Prescribed dose: 140 mg ampicillin (given)
Vial information:
Contains 250 mg ampicillin powder (given)
Reconstituted with 8.3 mL sterile normal saline (given)
Yields a final concentration of 30 mg/mL (given)
2. We need to find the volume (mL) of the reconstituted solution containing the prescribed dose (140 mg) considering the final concentration (30 mg/mL).
Steps:
a. Don't consider the initial volume (8.3 mL) of sterile normal saline. The final concentration (30 mg/mL) refers to the concentration in the diluted solution after adding the saline.
b. Use the following formula:
Volume to administer (mL) = Dose (mg) / Concentration (mg/mL)
c. Plug in the values:
Volume to administer (mL) = 140 mg / 30 mg/mL
Volume to administer (mL) = 4.67 mL (round to nearest tenth)
Therefore, the nurse should administer approximately 4.7 mL of the reconstituted ampicillin solution intravenously every 8 hours for the child.
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