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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
Which signs in a 2-day-old baby suggest sepsis?
ARegular feeding with six wet nappies a day
BHiccups after feeds with a strong, lusty cry between feeds
CSmall white spots on the nose and a pink face
DUnstable temperature, poor feeding, lethargy and breathing difficulty
2.Pediatric nursingHard
A toddler weighed 10 kg before 2 days of diarrhoea and now weighs 9.5 kg. How much has he lost?
A1 kg, about 10% of his body weight
B500 g, about 50% of his body weight
C500 g, about 5% of his body weight, mostly fluid
D50 g, about 0.5% of his body weight
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A bag contains 20 000 units of heparin in 500 mL. The order is 12 units/kg/h for a patient who weighs 97 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
20 000 units/500 mL12 units/kg/h97 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A bag contains dopamine 400 mg in 250 mL. The order is 15 mcg/kg/min for a patient who weighs 81 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
400 mg/250 mL15 mcg/kg/min81 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 patient weighs 100 kg. Find the average urine output U in mL/kg/h. Round to two decimal places.
100 kg12 hurine: 275 mLurine: 200 mL
U = mL/kg/h
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 500 mL bag runs by pump at 150 mL/h. At 10:00, 150 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
500 mL150 mL infused150 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: D · Unstable temperature, poor feeding, lethargy and breathing difficulty
Why this is the answer
Neonatal sepsis may present with temperature instability, poor feeding, lethargy, irritability, apnoea, breathing difficulty or jaundice. Early-onset sepsis, often due to group B streptococcus, needs prompt cultures and IV antibiotics.
Answer
D · Unstable temperature, poor feeding, lethargy and breathing difficulty
2.Pediatric nursing
Answer: C · 500 g, about 5% of his body weight, mostly fluid
Why this is the answer
10 kg − 9.5 kg = 0.5 kg; 0.5 ÷ 10 = 5%. Rapid weight loss during acute illness is mostly fluid, so it is a useful measure of the degree of dehydration, alongside clinical signs.
Answer
C · 500 g, about 5% of his body weight, mostly fluid
3.Pediatric & critical-care dosing
Answer: R = 29.1 mL/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.
Units per hour
12·97 = 1 164 units/h
Concentration
20 000/500 = 40 units/mL
Pump rate
R = 1164/40 = 29.1 mL/h
Answer
R = 29.1 mL/h
4.Pediatric & critical-care dosing
Answer: R = 45.6 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
400 mg = 400 000 mcg
400 000/250 = 1600 mcg/mL
Dose per minute and per hour
15·81 = 1215 mcg/min
1215·60 = 72900 mcg/h
Pump rate
R = 72900/1600 = 45.56 ≈ 45.6 mL/h
Answer
R = 45.6 mL/h
5.IV fluids & fluid balance
Answer: U = 0.4 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
275 + 200 = 475 mL
Per kilogram per hour
U = 475/(100·12) = 0.3958 ≈ 0.4 mL/kg/h
Answer
U = 0.4 mL/kg/h
6.IV fluids & fluid balance
Answer: t = 2.3 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 − 150 = 350 mL
Time
t = 350/150 = 2.333 ≈ 2.3 h
Answer
t = 2.3 h
That is about 2 h 20 min, so the bag runs out at about 12:20.