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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
A child has just spilled hot tea on his arm. What is the correct first aid?
AHold ice directly on the burn for about an hour to stop the pain
BSpread butter or toothpaste on the burn
CCool the burn under cool running water for about 20 minutes
DBurst any blisters to let the heat out
2.Pediatric nursingHard
A 6-year-old is prescribed codeine for pain after a tonsillectomy. What should the nurse do?
AQuestion the order with the prescriber before giving it
BGive double the dose because it is a weak opioid
CCrush it into the child's milk without telling anyone
DGive it, because codeine is safe in all children
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion contains 50 units of regular insulin in 250 mL. The order is 0.05 units/kg/h for a patient who weighs 50 kg. Find the pump rate R in mL/h. Round to one decimal place.
50 units/250 mL0.05 units/kg/h50 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A patient who weighs 85 kg has an order for norepinephrine at 10 mcg/min. The bag contains 8 mg in 250 mL. Find the pump rate R in mL/h. Round to one decimal place.
8 mg/250 mL10 mcg/min85 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 8-hour shift. The patient weighs 45 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 infusion starts at 09:30 at 80 mL/h. After 2 hours the rate is changed to 100 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 mL80 mL/h · 2 h100 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: C · Cool the burn under cool running water for about 20 minutes
Why this is the answer
Cool running water for about 20 minutes, within the first hours, limits burn depth and pain. Ice can cause further tissue damage and hypothermia, butter or toothpaste trap heat and add infection risk, and blisters should be left intact.
Answer
C · Cool the burn under cool running water for about 20 minutes
2.Pediatric nursing
Answer: A · Question the order with the prescriber before giving it
Why this is the answer
Codeine is contraindicated in children under 12 and after tonsillectomy or adenoidectomy in children under 18, because of fatal respiratory depression in ultra-rapid metabolisers. The nurse should question the order.
Answer
A · Question the order with the prescriber before giving it
3.Pediatric & critical-care dosing
Answer: R = 12.5 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
0.05·50 = 2.5 units/h
Concentration
50/250 = 0.2 units/mL
Pump rate
R = 2.5/0.2 = 12.5 mL/h
Answer
R = 12.5 mL/h
4.Pediatric & critical-care dosing
Answer: R = 18.8 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
8 000/250 = 32 mcg/mL
Dose per hour
The order is per minute for the whole patient, so the weight is not needed.
10·60 = 600 mcg/h
Pump rate
R = 600/32 = 18.75 ≈ 18.8 mL/h
Answer
R = 18.8 mL/h
5.IV fluids & fluid balance
Answer: U = 2.71 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
500 + 225 + 250 = 975 mL
Per kilogram per hour
U = 975/(45·8) = 2.708 ≈ 2.71 mL/kg/h
Answer
U = 2.71 mL/kg/h
6.IV fluids & fluid balance
Answer: t = 5.4 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
80·2 = 160 mL
500 − 160 = 340 mL left
Second part
340/100 = 3.4 h
Total time
t = 2 + 3.4 = 5.4 h
Answer
t = 5.4 h
That is about 5 h 24 min, so the bag runs out at about 14:54.