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
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Related Questions
Correct Answer is ["34"]
Explanation
Convert the Client's Weight from Pounds to Kilograms:
1 kg = 2.205 lbs
Weight in kg = 250 lbs / 2.205 lbs/kg
Weight in kg ≈ 113.38 kg
Calculate the Dobutamine Dose in mcg/min:
Dose = 5 mcg/kg/min x 113.38 kg
Dose ≈ 566.9 mcg/min
Convert the Dobutamine Dose from mcg/min to mg/min:
1 mg = 1000 mcg
Dose in mg/min = 566.9 mcg/min / 1000 mcg/mg
Dose in mg/min ≈ 0.5669 mg/min
Calculate the Dobutamine Dose in mg/hr:
Dose in mg/hr = 0.5669 mg/min x 60 min/hr
Dose in mg/hr ≈ 34.014 mg/hr
Calculate the Infusion Rate in mL/hr:
Available concentration = 250 mg / 250 mL = 1 mg/mL
Infusion Rate (mL/hr) = Dose in mg/hr / Concentration (mg/mL)
Infusion Rate (mL/hr) = 34.014 mg/hr / 1 mg/mL
Infusion Rate (mL/hr) ≈ 34.014 mL/hr
Round to the Nearest Whole Number:
34 mL/hr
Correct Answer is ["12.2"]
Explanation
Understanding the Problem
Initial Order: Nitroprusside 0.3 mcg/kg/min
Client Weight: 68 kg
Dose Increase: 0.3 mcg/kg/min every 5 minutes
Current BP: 208/150 mmHg (Indicates need for dose increase)
Available Solution: Nitroprusside 50 mg in 250 mL of D5W
Desired Rate: mL/hr
Step 1: Calculate the Initial Dose
Initial Dose: 0.3 mcg/kg/min
Client Weight: 68 kg
Initial Total Dose: 0.3 mcg/kg/min x 68 kg = 20.4 mcg/min
Step 2: Determine the New Dose After Increase
Increase: 0.3 mcg/kg/min
Client Weight: 68 kg
Total Increase: 0.3 mcg/kg/min x 68 kg = 20.4 mcg/min
New Total Dose: 20.4 mcg/min (initial) + 20.4 mcg/min (increase) = 40.8 mcg/min
Step 3: Convert the New Dose to Milligrams (mg)
1 mg = 1000 mcg
New Dose in mg/min: 40.8 mcg/min / 1000 mcg/mg = 0.0408 mg/min
Step 4: Calculate the New Dose in mg/hr
New Dose in mg/min: 0.0408 mg/min
Minutes in an Hour: 60 min
New Dose in mg/hr: 0.0408 mg/min x 60 min/hr = 2.448 mg/hr
Step 5: Determine the Concentration of the Nitroprusside Solution
Available Nitroprusside: 50 mg
Solution Volume: 250 mL
Concentration: 50 mg / 250 mL = 0.2 mg/mL
Step 6: Calculate the Infusion Rate in mL/hr
New Dose in mg/hr: 2.448 mg/hr
Concentration: 0.2 mg/mL
Infusion Rate: 2.448 mg/hr / 0.2 mg/mL = 12.24 mL/hr
Step 7: Round to the Nearest Tenth
The calculated rate is 12.24 mL/hr.
Rounded to the nearest tenth: 12.2 mL/hr
Answer: 12.2 mL/hr
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