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
IntakeOutput8-hour shiftmilk240 mLtea150 mLjelly100 mLIV infusion125 mL/h × 8 hIV antibiotic2 × 50 mLurine250 mLurine225 mLurine225 mLurine475 mLwound drain40 mLvomit250 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).

milk: 240 mLtea: 150 mLjelly: 100 mLIV infusion: 125 mL/h × 8 hIV antibiotic: 2 × 50 mLurine: 250 mLurine: 225 mLurine: 225 mLurine: 475 mLwound drain: 40 mLvomit: 250 mL
B = mL
2.IV fluids & fluid balanceHard
1000 mL60 mL/hstart 09:1513:15: ? mL

Practice exercise (made-up values, not clinical guidance). A 1000 mL bag was started at 09:15 and runs by pump at 60 mL/h. How many mL V are left in the bag at 13:15?

1000 mL60 mL/h09:15 → 13:15
V = mL
3.IV infusion ratesMedium
V = ?60 gtt/mL50 gtt/min8 h

A drip runs at 50 gtt/min through a set of 60 gtt/mL. How many millilitres V does the patient receive in 8 hours?

50 gtt/min60 gtt/mL8 h
V = mL
4.IV infusion ratesHard
430 mLleft? mL/h2 h left

1000 mL was ordered over 6 hours. After 4 hours you find that 430 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 / 6 hafter 4 h: 430 mL
Δ = %

3Solutions

1.IV fluids & fluid balance

Answer: B = 125 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: 240 + 150 + 100 = 490 mL
IV infusion: 125·8 = 1000 mL
IV antibiotic: 2·50 = 100 mL
total intake = 1590 mL

Total output

250 + 225 + 225 + 475 + 40 + 250 = 1465 mL

Balance

B = 1590 − 1465 = 125 mL

Answer

B = 125 mL

Positive: more fluid went in than came out.

2.IV fluids & fluid balance

Answer: V = 760 mL

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.

Elapsed time

09:15 → 13:15 = 4 h

Volume infused

60·4 = 240 mL

Volume left

V = 1000 − 240 = 760 mL

Answer

V = 760 mL
3.IV infusion rates

Answer: V = 400 mL

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

50·60/60 = 50 mL/h

Volume

V = 50·8 = 400 mL

Answer

V = 400 mL
4.IV infusion rates

Answer: Δ = 29 %

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

1000/6 = 166.7 mL/h

New rate

R = 430/2 = 215 mL/h

Percentage change

Δ = (215 − 166.7)/166.7·100% = 29%

Answer

Δ = 29%

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.

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