Aminophylline is infusing at 30 ml/hr. The drug is mixed 250 mg in 500 ml D5W. How many mg/hr is the patient receiving?
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Solution
\(\huge\frac{250\, mg}{500\, ml}= \frac{x\, mg}{30\, ml/hr}\)
x = 15 mg/hr
A lidocaine drip is infusing at 30 ml/hr on an infusion device. The drug is mixed 2 g in 500 ml D5W. How many mg/minute is the patient receiving?
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Solution
1. Convert 2 g to mg = 2,000 mg
2. Use ratio/proportion to solve
\(\frac{2,000\, mg}{500\, ml}= \frac{x\, mg}{30\, ml/hr}\)
x = 120 mg/hr
3. Calculate the minute rate
120 mg/hr ÷ 60 mins/hr = 2 mg/min
Tridil is infusing at 15 ml/hr on an infusion pump. The drug is mixed 50 mg in 500 ml D5W. How many mcg/minute is the patient receiving?
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Solution
1. Convert 50 mg to mcg = 50,000 mcg
2. Use ratio/proportion to solve
\(\frac{50,000\, mcg}{500\, ml}= \frac{x\, mcg}{15\, ml/hr}\)
x = 1,500 mcg/hr
3. Calculate the minute rate
1,500 mcg/hr ÷ 60 mins/hr = 25 mcg/min
Give Nitroprusside 5 mcg/kg/minute via continuous infusion for a patient weighing 205 lbs. Nitroprusside is available in a solution of 200 mg in 250 ml D5W. What rate on the infusion pump will deliver the correct dose?
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Solution
1. Convert lbs to kg
205 ÷ 2.2 = 93.18 = 93.2 kg2. Calculate the minute rate
93.2 kg x 5 mcg/kg/min = 466 mcg/min3. Calculate hourly rate
466 mcg/min x 60 mins/hr = 27,960 mcg/hr4. Drug is expressed in mg, so convert mcg to mg
27,960 mcg = 27.96 mg\(5. Formula: \frac{desired\, amount}{have\, on\, hand}\times quantity= x\)
Solution:
\( \frac{27.96\, mg}{200\, mg}\times 250\, ml= 35\, ml/hr\)
Give propofol 10 mcg/kg/minute. The infusion is mixed propofol 250 mg in 250 ml D5W. The patient weighs 168 pounds. What rate on the infusion pump will deliver the correct dose?
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Solution
1. Convert lbs to kg
168 ÷ 2.2 = 76.36 = 76.4 kg2. Calculate the minute rate
76.4 kg x 10 mcg/kg/min = 764 mcg/min3. Calculate hourly rate
764 mcg/min x 60 mins/hr = 45,840 mcg/hr4. Drug is expressed in mg, so convert mcg to mg
45,840 mcg = 45.84 mg5. Formula:
\( \frac{desired\, amount}{have\, on\, hand}\times quantity= x\)Solution:
\( \frac{45.84\, mg}{250\, mg}\times 250\, ml= 46\, ml/hr\)
Give Tridil 15 mcg/min. Tridil is mixed 50 mg in 500 ml D5W. What rate on the infusion pump will deliver the correct dose?
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Solution
1. Infusion device is set at hourly rate, so convert mcg/min to mcg/hr
15 mcg/min = 900 mcg/hr (15 x 60)2. Drug is expressed in mg, so covert mcg to mg
900 mcg/hr = 0.9 mg/hr3. Formula:
\( \frac{desired\, amount}{have\, on\, hand}\times quantity= x\)Solution:
\( \frac{0.9\, mg/hr}{50\, mg}\times 500\, ml= 9\, ml/hr\)
Administer a Theophylline drip at 40 mg/hr The solution is 250 ml D5W + Theophylline 500 mg. What rate on the infusion pump will deliver the correct dose?
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Solution
Formula:
\( \frac{desired\, amount}{have\, on\, hand}\times quantity= x\)Solution:
\( \frac{40\, mg/hr}{500\, mg}\times 250\, ml= 20\, ml/hr\)
Give Regular insulin by continuous I.V. infusion at 20 units/hr. The solution is 250 ml NS with 100 units of Regular insulin. What rate on the infusion pump will deliver the correct dose?
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Solution
Formula:
\( \frac{desired\, amount}{have\, on\, hand}\times quantity= x\)Solution:
\( \frac{20\, units/hr}{100\, units}\times 250\, ml= 50\, ml/hr\)
The patient’s heparin drip is infusing at 11 ml/hr on an infusion pump. The bag of fluid is mixed 25,000 units of Heparin in 250 ml D5W. What hourly dose of Heparin is the patient receiving?
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Solution
Solution:
\( \frac{25,000\, units}{250\, ml}= \frac{x\, units}{11\, ml/hr} \Rightarrow 1,100\, units/hr\)
The patient’s Heparin is infusing at 28 ml/hr on an infusion pump. The bag of fluid is mixed 20,000 units of Heparin in 500 ml D5W. What hourly dose of heparin is the patient receiving?
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Solution
Solution:
\( \frac{20,000\, units}{500\, ml}= \frac{x\, units}{28\, ml/hr} \Rightarrow 1,120\, units/hr\)
Administer Heparin 1,000 units/hr from an I.V. bag mixed 40,000 units in 1 L D5W. How many ml/hr will deliver the correct amount of Heparin?
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Solution
Formula:
\( \frac{desired\, amount}{have\, on\, hand}\times quantity= x\)
\(Solution: \frac{1,000\, units/hr}{40,000\, units}\times 1,000\, ml= 25\, ml/hr\)
The physician writes an order for Heparin 900 units/hour. The label on the I.V. bag reads: Heparin 10,000 units in 500 ml D5W. How many ml/hr will deliver the correct dose?
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Solution
Formula:
\( \frac{desired\, amount}{have\, on\, hand}\times quantity= x\)Solution:
\( \frac{900\, units/hr}{10,000\, units}\times 500\, ml= 45\, ml/hr\)
Keflin 2 g in 100 ml D5W IVPB over 20 minutes. The I.V. tubing is 15 gtt/ml. Calculate the flow rate.
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Solution
IV Flow Formula:
\( \frac{volume\, to\, be\, infused\, (ml)}{time\, (minutes)}\times calibration\, (gtt/ml)= flow rate\, (gtt/min)\)
Solution:
\( \frac{100\, ml}{20\, mins}\times 15\, gtt/ml= 75\, gtt/min\)