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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 8-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 runs by pump at 75 mL/h. At 12:30, 700 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
1000 mL700 mL infused75 mL/h
t = h
3.IV infusion ratesMedium
500 mL was ordered over 12 hours. After 10 hours you find that 90 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?
500 mL / 12 hafter 10 h: 90 mL
R = mL/h
4.IV infusion ratesHard
A drip runs at 25 gtt/min through a set of 60 gtt/mL. There are 200 mL left in the bag. How many hours t until it is empty?
25 gtt/min60 gtt/mL200 mL
t = h
3Solutions
1.IV fluids & fluid balance
Answer: B = −70 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: 120 + 240 = 360 mL
ice chips: 240/2 = 120 mL
IV infusion: 75·8 = 600 mL
IV antibiotic: 1·50 = 50 mL
total intake = 1130 mL
Total output
275 + 425 + 200 + 300 = 1200 mL
Balance
B = 1130 − 1200 = −70 mL
Answer
B = −70 mL
Negative: the patient lost more fluid than went in.
2.IV fluids & fluid balance
Answer: t = 4 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 − 700 = 300 mL
Time
t = 300/75 = 4 h
Answer
t = 4 h
That is about 4 h 00 min, so the bag runs out at about 16:30.
3.IV infusion rates
Answer: R = 45 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
500/12 = 41.67 mL/h
New rate
R = 90/2 = 45 mL/h
Answer
R = 45 mL/h
Many hospitals allow such an adjustment up to 25% without a new order; check local policy.
4.IV infusion rates
Answer: t = 8 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.