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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 source is a common cause of lead poisoning in young children?
APlastic toys made last year
BOld flaking paint and dust in older housing
CBreast milk from a healthy, well-nourished mother
DFresh fruit
2.Pediatric nursingHard
A boy with haemophilia A bumps his head hard on a table. He seems well. What should the nurse advise?
AGive aspirin for the pain and apply ice to the bump
BWatch him at home for a week and bring him in only if he vomits or has a headache
CSeek urgent care, as factor replacement may be needed before symptoms appear
DNo action is needed, because head bleeds are rare in haemophilia
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A practice protocol calls for a heparin bolus of 80 units/kg for a patient who weighs 68 kg. The vial contains 5 000 units/mL. What volume V do you draw up? Round to one decimal place.
80 units/kg68 kg5 000 units/mL
V = mL
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A bag contains dobutamine 250 mg in 250 mL. The order is 7.5 mcg/kg/min for a patient who weighs 92 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
250 mg/250 mL7.5 mcg/kg/min92 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 patient weighs 101 kg. Find the average urine output U in mL/kg/h. Round to two decimal places.
Practice exercise (made-up values, not clinical guidance). A 500 mL infusion starts at 14:00 at 125 mL/h. After 3 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 mL125 mL/h · 3 h60 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: B · Old flaking paint and dust in older housing
Why this is the answer
Lead-based paint in older buildings, contaminated dust and soil and some imported products are common sources. Lead affects the developing brain, causing learning and behaviour problems.
Answer
B · Old flaking paint and dust in older housing
2.Pediatric nursing
Answer: C · Seek urgent care, as factor replacement may be needed before symptoms appear
Why this is the answer
Intracranial bleeding is the most dangerous bleed in haemophilia and can develop hours after injury. Any significant head injury needs urgent assessment and usually prompt factor replacement. Aspirin is avoided because it impairs platelet function.
Answer
C · Seek urgent care, as factor replacement may be needed before symptoms appear
3.Pediatric & critical-care dosing
Answer: V = 1.1 mL
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 needed
80·68 = 5 440 units
Volume
V = 5440/5000 = 1.088 ≈ 1.1 mL
Answer
V = 1.1 mL
4.Pediatric & critical-care dosing
Answer: R = 41.4 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
250 mg = 250 000 mcg
250 000/250 = 1000 mcg/mL
Dose per minute and per hour
7.5·92 = 690 mcg/min
690·60 = 41400 mcg/h
Pump rate
R = 41400/1000 = 41.4 mL/h
Answer
R = 41.4 mL/h
5.IV fluids & fluid balance
Answer: U = 1.79 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
400 + 275 + 475 + 300 = 1450 mL
Per kilogram per hour
U = 1450/(101·8) = 1.795 ≈ 1.79 mL/kg/h
Answer
U = 1.79 mL/kg/h
6.IV fluids & fluid balance
Answer: t = 5.1 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
125/60 = 2.083 h
Total time
t = 3 + 2.083 = 5.083 ≈ 5.1 h
Answer
t = 5.1 h
That is about 5 h 05 min, so the bag runs out at about 19:05.