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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 IV fluids for young children given with an infusion pump or a volume-control set?
ATo make the fluid warmer before it enters the vein
BTo prevent accidental fluid overload
CTo allow the child to adjust the rate
DTo remove bacteria from the fluid
2.Pediatric nursingHard
Five minutes after IM adrenaline for anaphylaxis, a child is still wheezing and has a low blood pressure. What should the nurse do?
AGive an oral antihistamine and a steroid instead of more adrenaline
BWait 30 minutes for the first dose of adrenaline to take its full effect
CGive a further dose of IM adrenaline as per protocol and call for advanced help
DSit the child up and walk her around to raise the blood pressure
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 16 units/kg/h for a patient who weighs 67 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
25 000 units/500 mL16 units/kg/h67 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A patient who weighs 60 kg has an order for norepinephrine at 10 mcg/min. The bag contains 4 mg in 250 mL. Find the pump rate R in mL/h. Round to one decimal place.
4 mg/250 mL10 mcg/min60 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 63 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 14:00 at 75 mL/h. After 2 hours the rate is changed to 50 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 mL75 mL/h · 2 h50 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: B · To prevent accidental fluid overload
Why this is the answer
Infants and young children can quickly become fluid overloaded. Infusion pumps and burette (volume-control) sets limit how much fluid can run in, and the rate and site are checked regularly.
Answer
B · To prevent accidental fluid overload
2.Pediatric nursing
Answer: C · Give a further dose of IM adrenaline as per protocol and call for advanced help
Why this is the answer
IM adrenaline can be repeated after about 5 minutes if signs persist. Help is called, the child lies flat (with legs raised if tolerated, or sitting if breathing is difficult), and oxygen and IV fluids are given. Standing or walking can cause collapse.
Answer
C · Give a further dose of IM adrenaline as per protocol and call for advanced help
3.Pediatric & critical-care dosing
Answer: R = 21.4 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.
Units per hour
16·67 = 1 072 units/h
Concentration
25 000/500 = 50 units/mL
Pump rate
R = 1072/50 = 21.44 ≈ 21.4 mL/h
Answer
R = 21.4 mL/h
4.Pediatric & critical-care dosing
Answer: R = 37.5 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
4 000/250 = 16 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 = 600/16 = 37.5 mL/h
Answer
R = 37.5 mL/h
5.IV fluids & fluid balance
Answer: U = 1.84 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 + 300 + 150 + 175 = 925 mL
Per kilogram per hour
U = 925/(63·8) = 1.835 ≈ 1.84 mL/kg/h
Answer
U = 1.84 mL/kg/h
6.IV fluids & fluid balance
Answer: t = 19 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
75·2 = 150 mL
1000 − 150 = 850 mL left
Second part
850/50 = 17 h
Total time
t = 2 + 17 = 19 h
Answer
t = 19 h
That is about 19 h 00 min, so the bag runs out at about 09:00.