IV Fluids and Fluid Balance: cram pack

Formula sheets, the key method steps for every topic and 4 practice problems, with full solutions at the back.

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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

  1. Pump rate in mL/h: volume divided by time in hours.
  2. Drip rate in drops/min: volume × drop factor divided by time in minutes.
  3. For time remaining: volume left divided by the rate.
  4. Round as the question or the equipment requires.

2Practice problems

1.IV fluids & fluid balanceMedium
IntakeOutput8-hour shiftwater250 mLjuice120 mLIV infusion60 mL/h × 8 hIV antibiotic1 × 50 mLurine200 mLurine325 mLurine225 mLurine500 mL

Practice exercise (made-up values, not clinical guidance). The record shows a patient's intake and output for one 8-hour shift. The patient weighs 73 kg. Find the average urine output U in mL/kg/h. Round to two decimal places.

73 kg8 hurine: 200 mLurine: 325 mLurine: 225 mLurine: 500 mL
U = mL/kg/h
2.IV fluids & fluid balanceHard
1000 mL→ 200 mL/hstart 18:30ttotal​ = ? h150 mL/h × 3 h

Practice exercise (made-up values, not clinical guidance). A 1000 mL infusion starts at 18:30 at 150 mL/h. After 3 hours the rate is changed to 200 mL/h and is not changed again. How many hours t after the start will the bag be empty? Round to one decimal place.

1000 mL150 mL/h · 3 h200 mL/h
t = h
3.IV infusion ratesMedium
60 gtt/mL90 mL/h? gtt/min

An infusion is ordered at 90 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.

90 mL/h60 gtt/mL
R = gtt/min
4.IV infusion ratesHard
200 mL20 gtt/mL32 gtt/mint = ? h

A drip runs at 32 gtt/min through a set of 20 gtt/mL. There are 200 mL left in the bag. How many hours t until it is empty? Round to one decimal place.

32 gtt/min20 gtt/mL200 mL
t = h

3Solutions

1.IV fluids & fluid balance

Answer: U = 2.14 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 + 325 + 225 + 500 = 1250 mL

Per kilogram per hour

U = 1250/(73·8) = 2.14 mL/kg/h

Answer

U = 2.14 mL/kg/h
2.IV fluids & fluid balance

Answer: t = 5.8 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.

First part

150·3 = 450 mL
1000 − 450 = 550 mL left

Second part

550/200 = 2.75 h

Total time

t = 3 + 2.75 = 5.75 ≈ 5.8 h

Answer

t = 5.8 h

That is about 5 h 45 min, so the bag runs out at about 00:15.

3.IV infusion rates

Answer: R = 90 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

90/60 = 1.5 mL/min

Drip rate

R = 1.5·60 = 90 gtt/min

Answer

R = 90 gtt/min

With a microdrip set (60 gtt/mL), gtt/min equals mL/h.

4.IV infusion rates

Answer: t = 2.1 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.

Rate in mL/h

32·60/20 = 96 mL/h

Time left

t = 200/96 = 2.083 ≈ 2.1 h

Answer

t = 2.1 h

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