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1Formulas and methods
Pediatric nursing
Method
Note the child’s age first: it sets the normal vital signs, the milestones and the right pain scale.
Assess airway, breathing and circulation, remembering that children compensate and then deteriorate fast.
Match the action to the development stage and involve the family.
Check that the answer is safe for a child: weight-based, no aspirin in viral illness, no codeine under 12.
Pediatric & critical-care dosing
Daily dose
mg/day = mg/kg/day × weight (kg)
Doses per day
number = 24 h / dosing interval (h)
Pounds to kilograms
kg = lb / 2.2
Infusion concentration
units/mL = units in bag / bag volume
Pump rate
mL/h = dose per hour / concentration
Titrated drip
mL/h = mcg/kg/min × kg × 60 / (mcg/mL)
Dose from pump rate
mcg/kg/min = mL/h × (mcg/mL) / (60 × kg)
Units
1 mg = 1000 mcg
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
2Practice problems
1.Pediatric nursingMedium
Using the 100–50–20 rule, what is the daily maintenance fluid requirement for a 15 kg child?
A1250 mL per day
B1000 mL per day
C750 mL per day
D1500 mL per day
2.Pediatric nursingHard
The mother of a 5-day-old breastfed baby asks how she can tell her baby is getting enough milk. Which answer is best?
AThe baby should feed for exactly 10 minutes on each side at every feed, day and night
BAbout 6 or more wet nappies a day, regular yellow stools and steady weight gain
CThe baby should sleep through the night without waking for feeds
DHer breasts should always feel full and hard between feeds
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion of 100 units of regular insulin in 250 mL runs at 10 mL/h. How many units per hour D does the patient receive?
100 units/250 mL10 mL/h
D = units/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A patient who weighs 87 kg has an order for norepinephrine at 6 mcg/min. The bag contains 8 mg in 250 mL. Find the pump rate R in mL/h. Round to one decimal place.
8 mg/250 mL6 mcg/min87 kg
R = mL/h
5.IV fluids & fluid balanceMedium
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 total intake I in mL. Count ice chips as half their volume.
soup: 180 mLmilk: 200 mLice chips: 200 mLIV infusion: 80 mL/h × 12 hIV antibiotic: 2 × 100 mL
I = mL
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 500 mL infusion starts at 16:00 at 80 mL/h. After 2 hours the rate is changed to 60 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 mL80 mL/h · 2 h60 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: A · 1250 mL per day
Why this is the answer
First 10 kg: 10 × 100 = 1000 mL. Next 5 kg: 5 × 50 = 250 mL. Total = 1250 mL per day, or about 52 mL per hour.
Answer
A · 1250 mL per day
2.Pediatric nursing
Answer: B · About 6 or more wet nappies a day, regular yellow stools and steady weight gain
Why this is the answer
After the first few days, signs of good intake include at least about 6 heavy wet nappies a day, frequent yellow stools, contented behaviour after feeds and weight gain. Most babies regain their birth weight by about 2 weeks.
Answer
B · About 6 or more wet nappies a day, regular yellow stools and steady weight gain
3.Pediatric & critical-care dosing
Answer: D = 4 units/h
Heparin and insulin infusions: concentration = units in the bag/bag volume (units/mL). Pump rate (mL/h) = units per hour/concentration, and units per hour = mL/h × concentration. For a weight-based order, units/h = units/kg/h × weight first. A bolus volume = units needed/vial strength. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Concentration
100/250 = 0.4 units/mL
Units per hour
D = 10·0.4 = 4 units/h
Answer
D = 4 units/h
4.Pediatric & critical-care dosing
Answer: R = 11.3 mL/h
Titrated drips: first find the concentration in mcg/mL (mg × 1000/mL). For a weight-based order, mcg/min = mcg/kg/min × weight. Then mL/h = mcg/min × 60/concentration. Working backwards, mcg/kg/min = mL/h × concentration/(60 × weight). The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Concentration
8 000/250 = 32 mcg/mL
Dose per hour
The order is per minute for the whole patient, so the weight is not needed.
6·60 = 360 mcg/h
Pump rate
R = 360/32 = 11.25 ≈ 11.3 mL/h
Answer
R = 11.3 mL/h
5.IV fluids & fluid balance
Answer: I = 1640 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.
Add the intake
oral: 180 + 200 = 380 mL
ice chips: 200/2 = 100 mL
IV infusion: 80·12 = 960 mL
IV antibiotic: 2·100 = 200 mL
I = 1640 mL
Answer
I = 1640 mL
6.IV fluids & fluid balance
Answer: t = 7.7 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
80·2 = 160 mL
500 − 160 = 340 mL left
Second part
340/60 = 5.667 h
Total time
t = 2 + 5.667 = 7.667 ≈ 7.7 h
Answer
t = 7.7 h
That is about 7 h 40 min, so the bag runs out at about 23:40.