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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
How should a 4-month-old be protected from the sun?
AApply a thick layer of high-factor sunscreen and allow full sun
BExpose the baby to midday sun for vitamin D, then cover up
CKeep the baby out of direct sun, in the shade, with light clothing and a hat
DUse a sunbed for a few minutes to build a protective tan
2.Pediatric nursingHard
A child with a new forearm cast has severe pain not relieved by analgesia and screams when the nurse gently moves the fingers. What should the nurse suspect?
ANormal pain after a fracture; give more time
BItching under the cast; give an antihistamine
CAnxiety; distract the child with play
DCompartment syndrome; report it at once
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion contains 100 units of regular insulin in 100 mL. The order is 1 unit/h. Find the pump rate R in mL/h. Round to one decimal place.
100 units/100 mL1 units/h
R = mL/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 24 mL/h. The patient weighs 105 kg. What dose D in mcg/kg/min is the patient receiving? Round to one decimal place.
500 mg/250 mL24 mL/h105 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.
water: 150 mLmilk: 200 mLIV infusion: 100 mL/h × 8 hIV antibiotic: 2 × 100 mL
I = mL
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 500 mL infusion starts at 09:00 at 75 mL/h. After 2 hours the rate is changed to 200 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 mL75 mL/h · 2 h200 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: C · Keep the baby out of direct sun, in the shade, with light clothing and a hat
Why this is the answer
Babies under about 6 months should be kept out of direct sunlight, protected by shade, clothing and hats. Sunscreen is mainly for older infants and children, on skin that cannot be covered.
Answer
C · Keep the baby out of direct sun, in the shade, with light clothing and a hat
2.Pediatric nursing
Answer: D · Compartment syndrome; report it at once
Why this is the answer
Rising pressure within a muscle compartment cuts off blood supply. Severe pain unrelieved by analgesia and pain on passive movement are early signs; pulselessness is late. The prescriber is told immediately, the limb is not elevated above heart level and the cast may need splitting.
Answer
D · Compartment syndrome; report it at once
3.Pediatric & critical-care dosing
Answer: R = 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.
Concentration
100/100 = 1 units/mL
Pump rate
R = 1/1 = 1 mL/h
Answer
R = 1 mL/h
4.Pediatric & critical-care dosing
Answer: D = 7.6 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
24·2000 = 48000 mcg/h
48000/60 = 800 mcg/min
Per kilogram
D = 800/105 = 7.619 ≈ 7.6 mcg/kg/min
Answer
D = 7.6 mcg/kg/min
5.IV fluids & fluid balance
Answer: I = 1350 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: 150 + 200 = 350 mL
IV infusion: 100·8 = 800 mL
IV antibiotic: 2·100 = 200 mL
I = 1350 mL
Answer
I = 1350 mL
6.IV fluids & fluid balance
Answer: t = 3.8 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
75·2 = 150 mL
500 − 150 = 350 mL left
Second part
350/200 = 1.75 h
Total time
t = 2 + 1.75 = 3.75 ≈ 3.8 h
Answer
t = 3.8 h
That is about 3 h 45 min, so the bag runs out at about 12:45.