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 mLtea200 mLIV infusion50 mL/h × 12 hIV antibiotic2 × 100 mLurine275 mLurine350 mLurine325 mLurine325 mLwound drain90 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).

water: 200 mLtea: 200 mLIV infusion: 50 mL/h × 12 hIV antibiotic: 2 × 100 mLurine: 275 mLurine: 350 mLurine: 325 mLurine: 325 mLwound drain: 90 mL
B = mL
2.IV fluids & fluid balanceHard
500 mL→ 50 mL/hstart 18:00ttotal​ = ? h125 mL/h × 3 h

Practice exercise (made-up values, not clinical guidance). A 500 mL infusion starts at 18:00 at 125 mL/h. After 3 hours the rate is changed to 50 mL/h and is not changed again. How many hours t after the start will the bag be empty? Round to one decimal place.

500 mL125 mL/h · 3 h50 mL/h
t = h
3.IV infusion ratesMedium
290 mLleft? mL/h3 h left

1000 mL was ordered over 12 hours. After 9 hours you find that 290 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: 290 mL
R = mL/h
4.IV infusion ratesHard
250 mg100 mL8 mL/h? mg/h

A bag contains 250 mg of a drug in 100 mL and runs at 8 mL/h. How many milligrams per hour D does the patient receive?

250 mg/100 mL8 mL/h
D = mg/h

3Solutions

1.IV fluids & fluid balance

Answer: B = −165 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: 200 + 200 = 400 mL
IV infusion: 50·12 = 600 mL
IV antibiotic: 2·100 = 200 mL
total intake = 1200 mL

Total output

275 + 350 + 325 + 325 + 90 = 1365 mL

Balance

B = 1200 − 1365 = −165 mL

Answer

B = −165 mL

Negative: the patient lost more fluid than went in.

2.IV fluids & fluid balance

Answer: t = 5.5 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

125·3 = 375 mL
500 − 375 = 125 mL left

Second part

125/50 = 2.5 h

Total time

t = 3 + 2.5 = 5.5 h

Answer

t = 5.5 h

That is about 5 h 30 min, so the bag runs out at about 23:30.

3.IV infusion rates

Answer: R = 96.67 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 = 290/3 = 96.67 mL/h

Answer

R = 96.67 mL/h

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

4.IV infusion rates

Answer: D = 20 mg/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.

Concentration

250/100 = 2.5 mg/mL

Dose rate

D = 2.5·8 = 20 mg/h

Answer

D = 20 mg/h

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