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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
Which set of findings is typical of nephrotic syndrome in a child?
ABlood in the urine, high blood pressure and a recent sore throat
BHeavy proteinuria, low serum albumin and generalised oedema
CFever, painful urination and back pain
DFrequent urination, thirst and weight loss
2.Pediatric nursingHard
A child on a morphine infusion is very hard to wake, with a respiratory rate of 8 per minute and pinpoint pupils. What should the nurse do first?
AStop the infusion, support breathing and give naloxone as per protocol
BGive a sedative to keep the child calm
CReduce the infusion rate slightly and recheck the child's breathing in an hour
DLet the child sleep, as this shows the pain is controlled
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A practice protocol calls for a heparin bolus of 70 units/kg for a patient who weighs 54 kg. The vial contains 5 000 units/mL. What volume V do you draw up? Round to two decimal places.
70 units/kg54 kg5 000 units/mL
V = mL
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A patient who weighs 99 kg has an order for norepinephrine at 6 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 mL6 mcg/min99 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 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 500 mL bag runs by pump at 125 mL/h. At 22:00, 100 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.
500 mL100 mL infused125 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: B · Heavy proteinuria, low serum albumin and generalised oedema
Why this is the answer
In nephrotic syndrome, protein loss lowers the albumin and causes oedema, often first around the eyes. Cola-coloured urine and hypertension after a sore throat suggest post-streptococcal glomerulonephritis.
Answer
B · Heavy proteinuria, low serum albumin and generalised oedema
2.Pediatric nursing
Answer: A · Stop the infusion, support breathing and give naloxone as per protocol
Why this is the answer
Deep sedation, slow breathing and pinpoint pupils indicate opioid toxicity. The opioid is stopped, the airway and breathing supported with oxygen or bag-mask ventilation if needed, naloxone given as prescribed and help called.
Answer
A · Stop the infusion, support breathing and give naloxone as per protocol
3.Pediatric & critical-care dosing
Answer: V = 0.76 mL
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 needed
70·54 = 3 780 units
Volume
V = 3780/5000 = 0.756 ≈ 0.76 mL
Answer
V = 0.76 mL
4.Pediatric & critical-care dosing
Answer: R = 11.3 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
8 000/250 = 32 mcg/mL
Dose per hour
The order is per minute for the whole patient, so the weight is not needed.
6·60 = 360 mcg/h
Pump rate
R = 360/32 = 11.25 ≈ 11.3 mL/h
Answer
R = 11.3 mL/h
5.IV fluids & fluid balance
Answer: B = 905 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: 200 + 120 = 320 mL
ice chips: 120/2 = 60 mL
IV infusion: 100·12 = 1200 mL
IV antibiotic: 1·100 = 100 mL
total intake = 1680 mL
Total output
325 + 150 + 50 + 250 = 775 mL
Balance
B = 1680 − 775 = 905 mL
Answer
B = 905 mL
Positive: more fluid went in than came out.
6.IV fluids & fluid balance
Answer: t = 3.2 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 − 100 = 400 mL
Time
t = 400/125 = 3.2 h
Answer
t = 3.2 h
That is about 3 h 12 min, so the bag runs out at about 01:12.