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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
An infant with heart failure is treated with furosemide. Which blood result is most important to monitor?
ASerum potassium
BSerum amylase and lipase
CSerum bilirubin
DPlatelet count
2.Pediatric nursingHard
A 4-year-old has a high fever, is drooling, sitting forward with the neck extended and looks anxious. What should the nurse do first?
AKeep the child calm and upright with the parent, and call a team skilled in airway management
BInsert an IV cannula before calling for help
CTake a throat swab to identify the organism
DLie the child flat and use a tongue depressor to look into the throat and confirm the swelling
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A bag contains 25 000 units of heparin in 500 mL. The order is 12 units/kg/h for a patient who weighs 52 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
25 000 units/500 mL12 units/kg/h52 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A patient who weighs 91 kg has an order for nitroglycerin at 10 mcg/min. The bag contains 25 mg in 250 mL. Find the pump rate R in mL/h. Round to one decimal place.
25 mg/250 mL10 mcg/min91 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 86 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 1000 mL infusion starts at 12:00 at 125 mL/h. After 2 hours the rate is changed to 80 mL/h and is not changed again. How many hours t after the start will the bag be empty? Round to one decimal place.
1000 mL125 mL/h · 2 h80 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: A · Serum potassium
Why this is the answer
Furosemide causes loss of potassium in the urine. Low potassium can cause arrhythmias and increases the risk of digoxin toxicity, so potassium is checked regularly.
Answer
A · Serum potassium
2.Pediatric nursing
Answer: A · Keep the child calm and upright with the parent, and call a team skilled in airway management
Why this is the answer
These signs suggest epiglottitis or another upper airway emergency. Avoid distressing interventions, keep the child in their position of comfort and get expert airway help immediately.
Answer
A · Keep the child calm and upright with the parent, and call a team skilled in airway management
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
12·52 = 624 units/h
Concentration
25 000/500 = 50 units/mL
Pump rate
R = 624/50 = 12.48 ≈ 12.5 mL/h
Answer
R = 12.5 mL/h
4.Pediatric & critical-care dosing
Answer: R = 6 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
25 000/250 = 100 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 = 600/100 = 6 mL/h
Answer
R = 6 mL/h
5.IV fluids & fluid balance
Answer: U = 1.26 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
275 + 300 + 375 + 350 = 1300 mL
Per kilogram per hour
U = 1300/(86·12) = 1.26 mL/kg/h
Answer
U = 1.26 mL/kg/h
6.IV fluids & fluid balance
Answer: t = 11.4 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
125·2 = 250 mL
1000 − 250 = 750 mL left
Second part
750/80 = 9.375 h
Total time
t = 2 + 9.375 = 11.38 ≈ 11.4 h
Answer
t = 11.4 h
That is about 11 h 23 min, so the bag runs out at about 23:23.