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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 finding suggests developmental dysplasia of the hip in an infant?
AEqual leg length, symmetrical skin folds and full, easy abduction of both hips
BBowed legs in a toddler
CA barking cough
DAsymmetric skin folds of the thighs or buttocks and limited hip abduction
2.Pediatric nursingHard
A 2-week-old suddenly starts vomiting bright green fluid. What should the nurse do?
AAdvise smaller, more frequent feeds and review the baby in a week
BChange to a lactose-free formula
CReassure the parents that this is normal reflux
DTreat it as a surgical emergency and get urgent medical review
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion of 100 units of regular insulin in 100 mL runs at 5 mL/h. How many units per hour D does the patient receive?
100 units/100 mL5 mL/h
D = units/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 10 mcg/kg/min for a patient who weighs 93 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
400 mg/250 mL10 mcg/kg/min93 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 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.
Practice exercise (made-up values, not clinical guidance). A 1000 mL bag runs by pump at 120 mL/h. At 07:00, 700 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
1000 mL700 mL infused120 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: D · Asymmetric skin folds of the thighs or buttocks and limited hip abduction
Why this is the answer
Signs include asymmetric skin folds, limited abduction, an apparently shorter leg and positive Ortolani or Barlow tests. Treatment in infancy often uses a Pavlik harness.
Answer
D · Asymmetric skin folds of the thighs or buttocks and limited hip abduction
2.Pediatric nursing
Answer: D · Treat it as a surgical emergency and get urgent medical review
Why this is the answer
Bilious vomiting in a newborn suggests bowel obstruction, such as malrotation with volvulus, which can cut off the blood supply to the gut within hours. It needs immediate surgical assessment.
Answer
D · Treat it as a surgical emergency and get urgent medical review
3.Pediatric & critical-care dosing
Answer: D = 5 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
100/100 = 1 units/mL
Units per hour
D = 5·1 = 5 units/h
Answer
D = 5 units/h
4.Pediatric & critical-care dosing
Answer: R = 34.9 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
10·93 = 930 mcg/min
930·60 = 55800 mcg/h
Pump rate
R = 55800/1600 = 34.88 ≈ 34.9 mL/h
Answer
R = 34.9 mL/h
5.IV fluids & fluid balance
Answer: B = 15 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: 120 + 250 + 200 = 570 mL
ice chips: 240/2 = 120 mL
IV infusion: 50·8 = 400 mL
IV antibiotic: 1·50 = 50 mL
total intake = 1140 mL
Total output
325 + 350 + 450 = 1125 mL
Balance
B = 1140 − 1125 = 15 mL
Answer
B = 15 mL
Positive: more fluid went in than came out.
6.IV fluids & fluid balance
Answer: t = 2.5 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.
Volume left
1000 − 700 = 300 mL
Time
t = 300/120 = 2.5 h
Answer
t = 2.5 h
That is about 2 h 30 min, so the bag runs out at about 09:30.