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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 is a true contraindication to a further dose of the same vaccine?
AAnaphylaxis after a previous dose of that vaccine
BA low-grade fever after a previous dose
CA family history of allergies
DRedness and soreness at the injection site after a previous dose
2.Pediatric nursingHard
A 9-year-old is being treated for an acute asthma attack. Which finding shows that treatment is working?
AThe child is now sitting bolt upright, leaning on the arms
BThe heart rate has risen further after each dose of salbutamol
CSlower breathing, easier speech and less use of the neck and chest muscles
DThe wheeze has disappeared and the child is now very drowsy
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A bag contains 12 500 units of heparin in 250 mL. The order is 15 units/kg/h for a patient who weighs 61 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
12 500 units/250 mL15 units/kg/h61 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A dopamine infusion of 400 mg in 250 mL runs at 4 mL/h. The patient weighs 82 kg. What dose D in mcg/kg/min is the patient receiving? Round to one decimal place.
400 mg/250 mL4 mL/h82 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 8-hour shift. The IV infusion ran at the rate shown for the whole shift. Find the total intake I in mL.
juice: 200 mLsoup: 200 mLIV infusion: 60 mL/h × 8 hIV antibiotic: 2 × 50 mL
I = mL
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 500 mL bag runs by pump at 120 mL/h. At 09:30, 300 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
500 mL300 mL infused120 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: A · Anaphylaxis after a previous dose of that vaccine
Why this is the answer
A severe allergic reaction to a previous dose or to a vaccine component is a contraindication. Local redness and mild fever are common, expected reactions.
Answer
A · Anaphylaxis after a previous dose of that vaccine
2.Pediatric nursing
Answer: C · Slower breathing, easier speech and less use of the neck and chest muscles
Why this is the answer
Improvement shows as a lower respiratory rate, easier speech, less accessory muscle use and better oxygen saturation. A quiet chest with drowsiness signals exhaustion and danger, and tripod positioning shows ongoing distress.
Answer
C · Slower breathing, easier speech and less use of the neck and chest muscles
3.Pediatric & critical-care dosing
Answer: R = 18.3 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
15·61 = 915 units/h
Concentration
12 500/250 = 50 units/mL
Pump rate
R = 915/50 = 18.3 mL/h
Answer
R = 18.3 mL/h
4.Pediatric & critical-care dosing
Answer: D = 1.3 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
400 000/250 = 1600 mcg/mL
Micrograms per minute
4·1600 = 6400 mcg/h
6400/60 = 106.7 mcg/min
Per kilogram
D = 106.7/82 = 1.301 ≈ 1.3 mcg/kg/min
Answer
D = 1.3 mcg/kg/min
5.IV fluids & fluid balance
Answer: I = 980 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: 200 + 200 = 400 mL
IV infusion: 60·8 = 480 mL
IV antibiotic: 2·50 = 100 mL
I = 980 mL
Answer
I = 980 mL
6.IV fluids & fluid balance
Answer: t = 1.7 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.
Volume left
500 − 300 = 200 mL
Time
t = 200/120 = 1.667 ≈ 1.7 h
Answer
t = 1.7 h
That is about 1 h 40 min, so the bag runs out at about 11:10.