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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 advice is first-line for a school-age child with functional constipation?
AAvoiding the toilet at school until the problem has settled
BCutting out all fruit and vegetables to soften the stools
CMore fibre and fluids, a regular toilet time after meals and laxatives if prescribed
DDaily enemas given at home by the parents for several months, without other changes
2.Pediatric nursingHard
A toddler weighed 10 kg before 2 days of diarrhoea and now weighs 9.5 kg. How much has he lost?
A500 g, about 5% of his body weight, mostly fluid
B1 kg, about 10% of his body weight
C500 g, about 50% of his body weight
D50 g, about 0.5% of his body weight
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion of 250 units of regular insulin in 250 mL runs at 10 mL/h. How many units per hour D does the patient receive?
250 units/250 mL10 mL/h
D = units/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A dobutamine infusion of 500 mg in 250 mL runs at 21 mL/h. The patient weighs 81 kg. What dose D in mcg/kg/min is the patient receiving? Round to one decimal place.
500 mg/250 mL21 mL/h81 kg
D = mcg/kg/min
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 105 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 bag runs by pump at 60 mL/h. At 07:00, 200 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
500 mL200 mL infused60 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: C · More fibre and fluids, a regular toilet time after meals and laxatives if prescribed
Why this is the answer
Management of functional constipation combines diet (fibre, fluids), regular unhurried toilet sitting after meals, praise-based behaviour support and prescribed laxatives. Withholding stool at school worsens it.
Answer
C · More fibre and fluids, a regular toilet time after meals and laxatives if prescribed
2.Pediatric nursing
Answer: A · 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
A · 500 g, about 5% of his body weight, mostly fluid
3.Pediatric & critical-care dosing
Answer: D = 10 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
250/250 = 1 units/mL
Units per hour
D = 10·1 = 10 units/h
Answer
D = 10 units/h
4.Pediatric & critical-care dosing
Answer: D = 8.6 mcg/kg/min
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
500 000/250 = 2000 mcg/mL
Micrograms per minute
21·2000 = 42000 mcg/h
42000/60 = 700 mcg/min
Per kilogram
D = 700/81 = 8.642 ≈ 8.6 mcg/kg/min
Answer
D = 8.6 mcg/kg/min
5.IV fluids & fluid balance
Answer: U = 0.67 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
300 + 400 + 150 = 850 mL
Per kilogram per hour
U = 850/(105·12) = 0.6746 ≈ 0.67 mL/kg/h
Answer
U = 0.67 mL/kg/h
6.IV fluids & fluid balance
Answer: t = 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
500 − 200 = 300 mL
Time
t = 300/60 = 5 h
Answer
t = 5 h
That is about 5 h 00 min, so the bag runs out at about 12:00.