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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 are codeine and tramadol not recommended for children under 12 years?
AThey are too weak to relieve moderate pain, so stronger opioids are always preferred
BThey always cause allergies
CSome children metabolise them very quickly, causing dangerous breathing depression
DThey can only be given intravenously
2.Pediatric nursingHard
Several family members, including the children, have had headaches, nausea and drowsiness all winter. They feel better when away from home. What should the nurse suspect?
AMigraine that runs in the family
BCarbon monoxide poisoning
CSeasonal influenza
DFood poisoning
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion contains 100 units of regular insulin in 250 mL. The order is 1.5 units/h. Find the pump rate R in mL/h. Round to one decimal place.
100 units/250 mL1.5 units/h
R = mL/h
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 2.5 mcg/kg/min for a patient who weighs 94 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
250 mg/250 mL2.5 mcg/kg/min94 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 12-hour shift. The patient weighs 49 kg. Find the average urine output U in mL/kg/h. Round to two decimal places.
49 kg12 hurine: 300 mLurine: 350 mL
U = mL/kg/h
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 500 mL infusion starts at 20:00 at 100 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 mL100 mL/h · 3 h60 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: C · Some children metabolise them very quickly, causing dangerous breathing depression
Why this is the answer
In ultra-rapid metabolisers, codeine is quickly converted to morphine, which can cause life-threatening respiratory depression. Regulators advise against codeine and tramadol in children under 12, and after tonsil or adenoid surgery in those under 18.
Answer
C · Some children metabolise them very quickly, causing dangerous breathing depression
2.Pediatric nursing
Answer: B · Carbon monoxide poisoning
Why this is the answer
Carbon monoxide from faulty heaters or boilers causes headache, nausea, dizziness and drowsiness that improve away from the source. Pulse oximetry can look falsely normal. Treatment is removal from the source and high-flow oxygen; the appliance must be checked.
Answer
B · Carbon monoxide poisoning
3.Pediatric & critical-care dosing
Answer: R = 3.8 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
100/250 = 0.4 units/mL
Pump rate
R = 1.5/0.4 = 3.75 ≈ 3.8 mL/h
Answer
R = 3.8 mL/h
4.Pediatric & critical-care dosing
Answer: R = 14.1 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
2.5·94 = 235 mcg/min
235·60 = 14100 mcg/h
Pump rate
R = 14100/1000 = 14.1 mL/h
Answer
R = 14.1 mL/h
5.IV fluids & fluid balance
Answer: U = 1.11 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 + 350 = 650 mL
Per kilogram per hour
U = 650/(49·12) = 1.105 ≈ 1.11 mL/kg/h
Answer
U = 1.11 mL/kg/h
6.IV fluids & fluid balance
Answer: t = 6.3 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
100·3 = 300 mL
500 − 300 = 200 mL left
Second part
200/60 = 3.333 h
Total time
t = 3 + 3.333 = 6.333 ≈ 6.3 h
Answer
t = 6.3 h
That is about 6 h 20 min, so the bag runs out at about 02:20.