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 shiftsoup180 mLjuice150 mLice chips100 mLIV infusion100 mL/h × 12 hIV antibiotic1 × 100 mLurine325 mLurine375 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). Count ice chips as half their volume.

soup: 180 mLjuice: 150 mLice chips: 100 mLIV infusion: 100 mL/h × 12 hIV antibiotic: 1 × 100 mLurine: 325 mLurine: 375 mL
B = mL
2.IV fluids & fluid balanceHard
1000 mL→ 200 mL/hstart 15:00ttotal​ = ? h100 mL/h × 4 h

Practice exercise (made-up values, not clinical guidance). A 1000 mL infusion starts at 15:00 at 100 mL/h. After 4 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 mL100 mL/h · 4 h200 mL/h
t = h
3.IV infusion ratesMedium
60 gtt/mL200 mL/h? gtt/min

An infusion is ordered at 200 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.

200 mL/h60 gtt/mL
R = gtt/min
4.IV infusion ratesHard
190 mLleft? mL/h2 h left

500 mL was ordered over 6 hours. After 4 hours you find that 190 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?

500 mL / 6 hafter 4 h: 190 mL
Δ = %

3Solutions

1.IV fluids & fluid balance

Answer: B = 980 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: 180 + 150 = 330 mL
ice chips: 100/2 = 50 mL
IV infusion: 100·12 = 1200 mL
IV antibiotic: 1·100 = 100 mL
total intake = 1680 mL

Total output

325 + 375 = 700 mL

Balance

B = 1680 − 700 = 980 mL

Answer

B = 980 mL

Positive: more fluid went in than came out.

2.IV fluids & fluid balance

Answer: t = 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.

First part

100·4 = 400 mL
1000 − 400 = 600 mL left

Second part

600/200 = 3 h

Total time

t = 4 + 3 = 7 h

Answer

t = 7 h

That is about 7 h 00 min, so the bag runs out at about 22:00.

3.IV infusion rates

Answer: R = 200 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

200/60 = 3.333 mL/min

Drip rate

R = 3.333·60 = 200 gtt/min

Answer

R = 200 gtt/min

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

4.IV infusion rates

Answer: Δ = 14 %

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

500/6 = 83.33 mL/h

New rate

R = 190/2 = 95 mL/h

Percentage change

Δ = (95 − 83.33)/83.33·100% = 14%

Answer

Δ = 14%

Many hospitals allow such an adjustment up to 25% without a new order; check local policy.

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