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
IntakeOutput12-hour shiftmilk100 mLtea150 mLjuice100 mLIV infusion100 mL/h × 12 hIV antibiotic2 × 100 mLurine450 mLurine500 mLwound drain110 mL

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).

milk: 100 mLtea: 150 mLjuice: 100 mLIV infusion: 100 mL/h × 12 hIV antibiotic: 2 × 100 mLurine: 450 mLurine: 500 mLwound drain: 110 mL
B = mL
2.IV fluids & fluid balanceHard
1000 mL800 mL infused75 mL/h21:30t = ? h

Practice exercise (made-up values, not clinical guidance). A 1000 mL bag runs by pump at 75 mL/h. At 21:30, 800 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.

1000 mL800 mL infused75 mL/h
t = h
3.IV infusion ratesMedium
1500 mL20 gtt/mL10 h? gtt/min

Infuse 1500 mL over 10 hours with a giving set of 20 gtt/mL. Find the drip rate R in drops per minute.

1500 mL10 h20 gtt/mL
R = gtt/min
4.IV infusion ratesHard
750 mL20 gtt/mL30 gtt/mint = ? h

A drip runs at 30 gtt/min through a set of 20 gtt/mL. There are 750 mL left in the bag. How many hours t until it is empty? Round to one decimal place.

30 gtt/min20 gtt/mL750 mL
t = h

3Solutions

1.IV fluids & fluid balance

Answer: B = 690 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: 100 + 150 + 100 = 350 mL
IV infusion: 100·12 = 1200 mL
IV antibiotic: 2·100 = 200 mL
total intake = 1750 mL

Total output

450 + 500 + 110 = 1060 mL

Balance

B = 1750 − 1060 = 690 mL

Answer

B = 690 mL

Positive: more fluid went in than came out.

2.IV fluids & fluid balance

Answer: t = 2.7 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 − 800 = 200 mL

Time

t = 200/75 = 2.667 ≈ 2.7 h

Answer

t = 2.7 h

That is about 2 h 40 min, so the bag runs out at about 00:10.

3.IV infusion rates

Answer: R = 50 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.

Time in minutes

10·60 = 600 min

Drip rate

R = 1500·20/600 = 50 gtt/min

Answer

R = 50 gtt/min
4.IV infusion rates

Answer: t = 8.3 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

30·60/20 = 90 mL/h

Time left

t = 750/90 = 8.333 ≈ 8.3 h

Answer

t = 8.3 h

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