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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 IV infusion ran at the rate shown for the whole shift. Find the fluid balance B = intake − output in mL (a negative answer means a net loss). Count ice chips as half their volume.
Practice exercise (made-up values, not clinical guidance). A 1000 mL bag was started at 06:15 and runs by pump at 80 mL/h. How many mL V are left in the bag at 12:15?
1000 mL80 mL/h06:15 → 12:15
V = mL
3.IV infusion ratesMedium
An infusion is ordered at 125 mL/h, but no pump is available. It runs by gravity through a giving set of 60 gtt/mL. Find the drip rate R in drops per minute.
125 mL/h60 gtt/mL
R = gtt/min
4.IV infusion ratesHard
1500 mL was ordered over 10 hours. After 7 hours you find that 500 mL is still in the bag, and the order must still finish on time. By what percentage Δ must the original pump rate be increased?
1500 mL / 10 hafter 7 h: 500 mL
Δ = %
3Solutions
1.IV fluids & fluid balance
Answer: B = −195 mL
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 intake
oral: 240 + 240 + 250 = 730 mL
ice chips: 200/2 = 100 mL
IV infusion: 50·12 = 600 mL
IV antibiotic: 2·100 = 200 mL
total intake = 1630 mL
Total output
425 + 375 + 475 + 300 + 250 = 1825 mL
Balance
B = 1630 − 1825 = −195 mL
Answer
B = −195 mL
Negative: the patient lost more fluid than went in.
2.IV fluids & fluid balance
Answer: V = 520 mL
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.
Elapsed time
06:15 → 12:15 = 6 h
Volume infused
80·6 = 480 mL
Volume left
V = 1000 − 480 = 520 mL
Answer
V = 520 mL
3.IV infusion rates
Answer: R = 125 gtt/min
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.
Millilitres per minute
125/60 = 2.083 mL/min
Drip rate
R = 2.083·60 = 125 gtt/min
Answer
R = 125 gtt/min
With a microdrip set (60 gtt/mL), gtt/min equals mL/h.
4.IV infusion rates
Answer: Δ = 11.11 %
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
1500/10 = 150 mL/h
New rate
R = 500/3 = 166.7 mL/h
Percentage change
Δ = (166.7 − 150)/150·100% = 11.11%
Answer
Δ = 11.11%
Many hospitals allow such an adjustment up to 25% without a new order; check local policy.