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.

New problemsBack to the course

In the print window, choose “Save as PDF” to keep a copy on your device.

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 shiftsoup250 mLjuice120 mLwater120 mLice chips100 mLIV infusion75 mL/h × 8 hIV antibiotic1 × 50 mLurine500 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 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: 250 mLjuice: 120 mLwater: 120 mLice chips: 100 mLIV infusion: 75 mL/h × 8 hIV antibiotic: 1 × 50 mLurine: 500 mLurine: 500 mL
B = mL
2.IV fluids & fluid balanceHard
1000 mL→ 125 mL/hstart 16:00ttotal​ = ? h120 mL/h × 2 h

Practice exercise (made-up values, not clinical guidance). A 1000 mL infusion starts at 16:00 at 120 mL/h. After 2 hours the rate is changed to 125 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 mL120 mL/h · 2 h125 mL/h
t = h
3.IV infusion ratesMedium
1000 mL60 gtt/mL12 h? gtt/min

Infuse 1000 mL over 12 hours with a giving set of 60 gtt/mL. Find the drip rate R in drops per minute. Round to the nearest whole number.

1000 mL12 h60 gtt/mL
R = gtt/min
4.IV infusion ratesHard
180 mLleft? mL/h2 h left

500 mL was ordered over 6 hours. After 4 hours you find that 180 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: 180 mL
Δ = %

3Solutions

1.IV fluids & fluid balance

Answer: B = 190 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: 250 + 120 + 120 = 490 mL
ice chips: 100/2 = 50 mL
IV infusion: 75·8 = 600 mL
IV antibiotic: 1·50 = 50 mL
total intake = 1190 mL

Total output

500 + 500 = 1000 mL

Balance

B = 1190 − 1000 = 190 mL

Answer

B = 190 mL

Positive: more fluid went in than came out.

2.IV fluids & fluid balance

Answer: t = 8.1 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

120·2 = 240 mL
1000 − 240 = 760 mL left

Second part

760/125 = 6.08 h

Total time

t = 2 + 6.08 = 8.08 ≈ 8.1 h

Answer

t = 8.1 h

That is about 8 h 05 min, so the bag runs out at about 00:05.

3.IV infusion rates

Answer: R = 83 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

12·60 = 720 min

Drip rate

R = 1000·60/720 = 83.33 ≈ 83 gtt/min

Answer

R = 83 gtt/min

At the bedside you round to the nearest whole drop: 83 gtt/min.

4.IV infusion rates

Answer: Δ = 8 %

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 = 180/2 = 90 mL/h

Percentage change

Δ = (90 − 83.33)/83.33·100% = 8%

Answer

Δ = 8%

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

ExamProblems · examproblems.com/courses/iv-fluids-and-fluid-balance