NurseSavvy™
Log inSign Up

Dosage Calculation · Topic 9 of 10

Continuous Infusion Calculations

0%
Your levelNot startedAnswer a card to start
Practice this topic · freeDosage Calc CoachWork through 16 titrated drips problems, Easy to Hard, one small question at a time, set up your way: formula, ratio or dimensional analysis.Oral & injectionReconstitutionIV ratesWeight-basedTitrated dripsHeparinInsulin scaleStart practicing Walk me through one

Tap any line to see why it matters

Dosage calculation · IV drips

Continuous Infusion Calculations

Turn an ordered dose into the pump's mL/hr: dose per hour ÷ concentration. Heparin, insulin and vasopressor drips are high-alert, so a math slip harms fast.

01 · High-alert dripsHeparin, insulin, pressors: pump + double-check
02 · The formulamL/hr = dose per hour ÷ concentration
03 · Per-minute ordersmcg/kg/min: dose × kg × 60 ÷ mcg/mL
01

The formula, step by step

The pump only knows mL/hr

Concentration = total drug in the bag ÷ total mL
Match units: mg × 1,000 = mcg when the order is in mcg
Get the dose per hour (× kg if weight-based; × 60 if per minute)
mL/hr = dose per hour ÷ concentration
Reverse check: mL/hr × concentration = dose per hour
02

Worked example: heparin (per hour)

1,000 units/hr
Order: heparin 1,000 units/hr · bag 25,000 units in 500 mL
Concentration: 25,000 ÷ 500 = 50 units/mL
Rate: 1,000 units/hr ÷ 50 units/mL = 20 mL/hr
Check: 20 mL/hr × 50 units/mL = 1,000 units/hr

Per-hour order, so no × 60.

03

Worked example: mcg/kg/min

5 mcg/kg/min
Order: 5 mcg/kg/min · example patient 60 kg · bag 1.6 mg/mL
Concentration in mcg: 1.6 mg/mL × 1,000 = 1,600 mcg/mL
Per minute: 5 mcg/kg/min × 60 kg = 300 mcg/min
Per hour: 300 mcg/min × 60 = 18,000 mcg/hr
Rate: 18,000 ÷ 1,600 = 11.25 → 11.3 mL/hr
Check: 11.25 mL/hr × 1,600 mcg/mL = 18,000 mcg/hr
04

Weight-based heparin (units/kg/hr)

Already per hour — no × 60

units/kg/hr × kg = units/hr
Then units/hr ÷ units/mL = mL/hr for the pump
Protocol change (such as +2 units/kg/hr): × kg, add to current rate

A common nomogram starts with an 80 units/kg IV bolus, then 18 units/kg/hr (70 kg: 5,600-unit bolus, 1,260 units/hr = 25.2 mL/hr at 50 units/mL). A +2 units/kg/hr change at 70 kg adds 140 units/hr: 1,400 units/hr = 28 mL/hr. Protocol-specific; obese patients have capped doses.

05

Common errors

Most drip errors are × 60 or × 1,000 slips

Left out × 60 on a per-minute order → rate 60 times too slow
Never × 60 a per-hour order (units/hr, units/kg/hr)
mg not converted to mcg (× 1,000) on a mcg order
Skipped the reverse check of mL/hr × concentration
06

At the bedside

Math errors are caught on paper — these show up in the patient

Active bleeding on heparin → stop the infusion, notify stop heparin
Expect protamine sulfate as the heparin antidote
Shakiness, sweating or confusion on insulin → check glucose now treat hypoglycemia
Glucose falling steeply → lower the insulin rate per protocol lower rate

Lower the insulin rate for a steep fall even if one glucose value looks fine. For hypoglycemia: treat per protocol and notify the provider. Teach the patient not to adjust the pump and to report bleeding (heparin) or shakiness and sweating (insulin) right away.

07

Monitor while it runs

High-alert drip: infusion pump + independent double-check
Double-check drug, dose, concentration and pump settings
Heparin: titrate to aPTT about 1.5–2.5 × control per protocol
Recheck aPTT about 6 hours after each rate change
Insulin: check glucose hourly; titrate to the trend
Norepinephrine: titrate to MAP at least 65 mmHg, within ordered limits
Re-verify drug, concentration and rate at every titration and handoff

Many units use an anti-Xa nomogram instead of aPTT — follow the protocol. In DKA the usual goal is a glucose fall of about 50–75 mg/dL per hour on the insulin drip.

Pearl

mL/hr = dose per hour ÷ concentration. Only per-minute orders get × 60 — and every heparin, insulin or vasopressor drip gets an independent double-check.

Sources · Pharmacology for Nurses 2.4 Dosage Calculations (OpenStax) · Nursing Dosage Calculations: Introduction to mcg/kg/min (WisTech Open) · Heparin (StatPearls) · Heparin Sodium Injection Label (DailyMed) · Pharmacology for Nurses 20.2 Anticoagulants (OpenStax) · Independent Double Checks (ISMP) · Distributive Shock (StatPearls) · Diabetic Ketoacidosis (StatPearls) · Hyperglycemic Crises in Adults With Diabetes: A Consensus Report (ADA/EASD 2024, Diabetes Care) · Medical-Surgical Nursing 21.2 Diabetes Mellitus (OpenStax) · Hyperglycemic Crises in Adult Patients With Diabetes (ADA 2009, Diabetes Care) · Follow your facility's protocol for high-alert infusions.

Ready to practice this topic?

Get a personalized study plan built around this topic — free to try, no card needed.