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 shiftwater200 mLjelly100 mLIV infusion75 mL/h × 12 hIV antibiotic1 × 100 mLurine300 mLurine175 mLurine450 mL

Practice exercise (made-up values, not clinical guidance). The record shows a patient's intake and output for one 12-hour shift. The patient weighs 51 kg. Find the average urine output U in mL/kg/h. Round to two decimal places.

51 kg12 hurine: 300 mLurine: 175 mLurine: 450 mL
U = mL/kg/h
2.IV fluids & fluid balanceHard
500 mL100 mL infused125 mL/h10:30t = ? h

Practice exercise (made-up values, not clinical guidance). A 500 mL bag runs by pump at 125 mL/h. At 10:30, 100 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.

500 mL100 mL infused125 mL/h
t = h
3.IV infusion ratesMedium
330 mLleft? mL/h3 h left

1000 mL was ordered over 12 hours. After 9 hours you find that 330 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?

1000 mL / 12 hafter 9 h: 330 mL
R = mL/h
4.IV infusion ratesHard
640 mLleft? mL/h7 h left

1000 mL was ordered over 12 hours. After 5 hours you find that 640 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?

1000 mL / 12 hafter 5 h: 640 mL
Δ = %

3Solutions

1.IV fluids & fluid balance

Answer: U = 1.51 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

300 + 175 + 450 = 925 mL

Per kilogram per hour

U = 925/(51·12) = 1.511 ≈ 1.51 mL/kg/h

Answer

U = 1.51 mL/kg/h
2.IV fluids & fluid balance

Answer: t = 3.2 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

500 − 100 = 400 mL

Time

t = 400/125 = 3.2 h

Answer

t = 3.2 h

That is about 3 h 12 min, so the bag runs out at about 13:42.

3.IV infusion rates

Answer: R = 110 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

1000/12 = 83.33 mL/h

New rate

R = 330/3 = 110 mL/h

Answer

R = 110 mL/h

This is more than a 25% increase: most hospitals require you to contact the prescriber instead of catching up, and to assess the patient for fluid overload.

4.IV infusion rates

Answer: Δ = 9.714 %

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

1000/12 = 83.33 mL/h

New rate

R = 640/7 = 91.43 mL/h

Percentage change

Δ = (91.43 − 83.33)/83.33·100% = 9.714%

Answer

Δ = 9.714%

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

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