A nurse is preparing to administer cefotaxime 100 mg/kg /IV bolus divided in equal doses every 8 hr to a toddler who weighs 26.4 lb. Available is cefotaxime injection 300 mg/mL. How many mL should the nurse administer per dose? (Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)
The Correct Answer is ["1.3"]
Order: Cefotaxime 100 mg/kg IV bolus, divided into equal doses every 8 hours
Toddler Weight: 26.4 lb
Available Solution: Cefotaxime injection 300 mg/mL
Desired Dose: mL per dose
Step 1: Convert Toddler Weight to Kilograms (kg)
1 kg = 2.2 lbs
Toddler Weight in kg: 26.4 lbs / 2.2 lbs/kg = 12 kg
Step 2: Calculate the Total Daily Dose
Ordered Dose: 100 mg/kg
Toddler Weight: 12 kg
Total Daily Dose: 100 mg/kg x 12 kg = 1200 mg
Step 3: Determine the Number of Doses per Day
Doses are given every 8 hours.
Hours in a Day: 24 hours
Number of Doses: 24 hours / 8 hours/dose = 3 doses
Step 4: Calculate the Dose per Administration
Total Daily Dose: 1200 mg
Number of Doses: 3
Dose per Administration: 1200 mg / 3 doses = 400 mg/dose
Step 5: Calculate the Volume to Administer per Dose
Dose per Administration: 400 mg
Concentration: 300 mg/mL
Volume to Administer: 400 mg / 300 mg/mL = 1.333 mL
Step 6: Round to the Nearest Tenth
The calculated volume is 1.333 mL.
Rounded to the nearest tenth: 1.3 mL
Answer: 1.3 mL
Nursing Test Bank
Naxlex Comprehensive Predictor Exams
Related Questions
Correct Answer is ["38"]
Explanation
Convert Grams to Milligrams:
The available lidocaine is 1 gram (g).
We need to convert this to milligrams (mg) because the dose is in mg/min.
There are 1000 milligrams in 1 gram (1 g = 1000 mg).
So, 1 g x 1000 mg/g = 1000 mg
Calculate the Lidocaine Concentration in mg/mL:
Available lidocaine: 1000 mg
Total volume: 250 mL
Concentration: 1000 mg / 250 mL = 4 mg/mL
Calculate the Lidocaine Dose in mg/hr:
Dose: 2.5 mg/min
There are 60 minutes in 1 hour.
Dose in mg/hr: 2.5 mg/min x 60 min/hr = 150 mg/hr
Calculate the Infusion Rate in mL/hr:
Concentration: 4 mg/mL
Dose in mg/hr: 150 mg/hr
Infusion Rate (mL/hr) = Dose in mg/hr / Concentration (mg/mL)
Infusion Rate (mL/hr) = 150 mg/hr / 4 mg/mL = 37.5 mL/hr
Round to the Nearest Whole Number:
38 mL/hr
Correct Answer is ["30"]
Explanation
Understanding the Problem
Order: Potassium gluconate 40 mEq PO
Available Solution: Potassium gluconate liquid 20 mEq/15 mL
Desired Dose: mL to administer
Step 1: Set Up the Calculation
We need to find the volume (in mL) that contains the ordered dose (40 mEq). We can do this by setting up a proportion or using the formula:
Volume (mL) = (Ordered Dose (mEq) / Concentration (mEq/mL))
Step 2: Determine the Concentration
Available Concentration: 20 mEq / 15 mL
Step 3: Perform the Calculation
Ordered Dose: 40 mEq
Concentration: 20 mEq / 15 mL
Volume: (40 mEq) / (20 mEq / 15 mL) = (40 mEq X 15 mL) / 20 mEq
We can simplify this by dividing 40 by 20:
Volume: (2 X 15 mL) = 30 mL
Step 4: Round to the Nearest Whole Number
The result is 30 mL, which is already a whole number.
Answer: 30 mL
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