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1Formulas and methods
IV fluids & fluid balance
Holliday–Segar per hour
4 mL/kg (first 10 kg) + 2 mL/kg (next 10 kg) + 1 mL/kg (each kg above 20)
Holliday–Segar per day
100 / 50 / 20 mL/kg for the same bands
Fluid balance
intake − output
Ice chips
count as half their volume
Urine output
mL/kg/h = mL / (kg × h)
Infusion time
time (h) = volume left (mL) / rate (mL/h)
Volume infused
mL = rate × time
IV infusion rates
Pump rate
mL/h = volume (mL)/time (h)
Drip rate
drops/min = volume (mL) × drop factor / time (min)
Infusion time
time (h) = volume (mL)/rate (mL/h)
Method
Pump rate in mL/h: volume divided by time in hours.
Drip rate in drops/min: volume × drop factor divided by time in minutes.
For time remaining: volume left divided by the rate.
Round as the question or the equipment requires.
2Practice problems
1.IV fluids & fluid balanceMedium
Practice exercise (made-up values, not clinical guidance). The record shows a patient's intake and output for one 12-hour shift. The patient weighs 47 kg. Find the average urine output U in mL/kg/h. Round to two decimal places.
47 kg12 hurine: 200 mLurine: 450 mLwound drain: 100 mL
U = mL/kg/h
2.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 1000 mL bag runs by pump at 80 mL/h. At 19:00, 100 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
1000 mL100 mL infused80 mL/h
t = h
3.IV infusion ratesMedium
1000 mL was ordered over 6 hours. After 4 hours you find that 430 mL is still in the bag, and the order must still finish on time. To what rate R in mL/h must the pump be reset?
1000 mL / 6 hafter 4 h: 430 mL
R = mL/h
4.IV infusion ratesHard
A bag contains 250 mg of a drug in 250 mL and runs at 8 mL/h. How many milligrams per hour D does the patient receive?
250 mg/250 mL8 mL/h
D = mg/h
3Solutions
1.IV fluids & fluid balance
Answer: U = 1.15 mL/kg/h
Intake and output: intake counts everything that goes in (oral fluids, IV infusions, IV medications and flushes, tube feeds); ice chips count as half their volume. Output counts urine, drains, vomit and other losses. Balance = total intake − total output; a negative balance is a net loss. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Total urine
200 + 450 = 650 mL
Per kilogram per hour
U = 650/(47·12) = 1.152 ≈ 1.15 mL/kg/h
Answer
U = 1.15 mL/kg/h
2.IV fluids & fluid balance
Answer: t = 11.3 h
Infusion time: time (h) = volume to infuse (mL)/rate (mL/h); use the volume still left in the bag, not the bag size. Volume infused = rate × time. Convert decimal hours to hours and minutes with the fraction × 60 (0.5 h = 30 min, not 50 min). The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Volume left
1000 − 100 = 900 mL
Time
t = 900/80 = 11.25 ≈ 11.3 h
Answer
t = 11.3 h
That is about 11 h 15 min, so the bag runs out at about 06:15.
3.IV infusion rates
Answer: R = 215 mL/h
Infusion rates: a pump is set in mL/h = volume/time in hours. A gravity drip is counted in drops per minute: gtt/min = volume (mL) × drop factor (gtt/mL)/time (min). The drop factor is printed on the tubing package: macrodrip sets deliver 10, 15 or 20 gtt/mL (blood sets often 10 gtt/mL in the US, 15 in the UK) and microdrip sets 60 gtt/mL. Always use the drop factor the question or package gives.
Original rate
1000/6 = 166.7 mL/h
New rate
R = 430/2 = 215 mL/h
Answer
R = 215 mL/h
This is more than a 25% increase: most hospitals require you to contact the prescriber instead of catching up, and to assess the patient for fluid overload.
4.IV infusion rates
Answer: D = 8 mg/h
Infusion rates: a pump is set in mL/h = volume/time in hours. A gravity drip is counted in drops per minute: gtt/min = volume (mL) × drop factor (gtt/mL)/time (min). The drop factor is printed on the tubing package: macrodrip sets deliver 10, 15 or 20 gtt/mL (blood sets often 10 gtt/mL in the US, 15 in the UK) and microdrip sets 60 gtt/mL. Always use the drop factor the question or package gives.