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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
Why is hearing screening done in the newborn period?
ATo check whether the baby will need glasses later in childhood
BBecause hearing loss always causes balance problems
CEarly detection allows support that protects language development
DTo diagnose ear infections before discharge
2.Pediatric nursingHard
A 3-year-old was pulled from a pool after a brief submersion. She is now awake and coughs now and then. What should the nurse advise?
AOnly seek care if she develops a fever in the next week
BTake her straight home, because she is awake, talking and only coughing now and then
CObserve her in hospital for several hours, as breathing problems can develop later
DGive her a warm drink and put her to bed for a long sleep
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A bag contains 20 000 units of heparin in 500 mL. The order is 16 units/kg/h for a patient who weighs 58 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
20 000 units/500 mL16 units/kg/h58 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A dobutamine infusion of 250 mg in 250 mL runs at 28 mL/h. The patient weighs 107 kg. What dose D in mcg/kg/min is the patient receiving? Round to one decimal place.
250 mg/250 mL28 mL/h107 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 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 was started at 07:45 and runs by pump at 100 mL/h. How many mL V are left in the bag at 15:15?
1000 mL100 mL/h07:45 → 15:15
V = mL
3Solutions
1.Pediatric nursing
Answer: C · Early detection allows support that protects language development
Why this is the answer
Permanent hearing loss is often not obvious in babies. Screening allows diagnosis and support, such as hearing aids, within the first months, which greatly improves speech and language outcomes.
Answer
C · Early detection allows support that protects language development
2.Pediatric nursing
Answer: C · Observe her in hospital for several hours, as breathing problems can develop later
Why this is the answer
After a drowning incident, even a child who seems well can develop worsening breathing difficulty and low oxygen over the following hours. Children who had symptoms such as coughing need medical assessment and a period of observation.
Answer
C · Observe her in hospital for several hours, as breathing problems can develop later
3.Pediatric & critical-care dosing
Answer: R = 23.2 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
16·58 = 928 units/h
Concentration
20 000/500 = 40 units/mL
Pump rate
R = 928/40 = 23.2 mL/h
Answer
R = 23.2 mL/h
4.Pediatric & critical-care dosing
Answer: D = 4.4 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
250 000/250 = 1000 mcg/mL
Micrograms per minute
28·1000 = 28000 mcg/h
28000/60 = 466.7 mcg/min
Per kilogram
D = 466.7/107 = 4.361 ≈ 4.4 mcg/kg/min
Answer
D = 4.4 mcg/kg/min
5.IV fluids & fluid balance
Answer: B = 755 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: 100 + 240 + 120 = 460 mL
ice chips: 240/2 = 120 mL
IV infusion: 50·8 = 400 mL
IV antibiotic: 2·100 = 200 mL
total intake = 1180 mL
Total output
150 + 175 + 100 = 425 mL
Balance
B = 1180 − 425 = 755 mL
Answer
B = 755 mL
Positive: more fluid went in than came out.
6.IV fluids & fluid balance
Answer: V = 250 mL
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.