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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 elbow splints often used after cleft lip repair?
ATo stop the baby touching or rubbing the suture line
BTo keep the baby's arms warm and still after surgery and anaesthesia
CTo make the baby sleep for longer
DTo keep the IV cannula from being needed
2.Pediatric nursingHard
A conscious 3-year-old is choking on food and cannot cough, cry or speak. What should the nurse do?
AWait to see if the child coughs it up
BDo a blind finger sweep of the mouth to hook out the piece of food
CGive the child water to swallow
DGive back blows and then abdominal thrusts, and call for help
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 4 units/h. Find the pump rate R in mL/h. Round to one decimal place.
100 units/100 mL4 units/h
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A patient who weighs 89 kg has an order for nitroglycerin at 10 mcg/min. The bag contains 50 mg in 250 mL. Find the pump rate R in mL/h. Round to one decimal place.
50 mg/250 mL10 mcg/min89 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 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).
Practice exercise (made-up values, not clinical guidance). A 500 mL bag runs by pump at 125 mL/h. At 21:00, 50 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
500 mL50 mL infused125 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: A · To stop the baby touching or rubbing the suture line
Why this is the answer
Soft elbow splints keep the baby's hands away from the face and protect the repair while still allowing arm movement. They are removed regularly, one at a time and under supervision, for skin checks and exercise.
Answer
A · To stop the baby touching or rubbing the suture line
2.Pediatric nursing
Answer: D · Give back blows and then abdominal thrusts, and call for help
Why this is the answer
For a conscious child over 1 year with an ineffective cough, give up to 5 back blows, then up to 5 abdominal thrusts, and repeat. A blind finger sweep can push the object further in. If the child becomes unresponsive, start CPR.
Answer
D · Give back blows and then abdominal thrusts, and call for help
3.Pediatric & critical-care dosing
Answer: R = 4 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 = 4/1 = 4 mL/h
Answer
R = 4 mL/h
4.Pediatric & critical-care dosing
Answer: R = 3 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
50 000/250 = 200 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 = 600/200 = 3 mL/h
Answer
R = 3 mL/h
5.IV fluids & fluid balance
Answer: B = 295 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: 120 + 200 = 320 mL
IV infusion: 125·8 = 1000 mL
IV antibiotic: 2·50 = 100 mL
total intake = 1420 mL
Total output
150 + 225 + 425 + 325 = 1125 mL
Balance
B = 1420 − 1125 = 295 mL
Answer
B = 295 mL
Positive: more fluid went in than came out.
6.IV fluids & fluid balance
Answer: t = 3.6 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.
Volume left
500 − 50 = 450 mL
Time
t = 450/125 = 3.6 h
Answer
t = 3.6 h
That is about 3 h 36 min, so the bag runs out at about 00:36.