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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 finding is an early sign of shock in a child?
ALow blood pressure with a slow heart rate and pauses in breathing
BSlow, deep breathing with a normal heart rate
CA fast heart rate with a prolonged capillary refill
DA warm, flushed child with a strong, bounding pulse
2.Pediatric nursingHard
A 2-year-old has had three febrile urinary tract infections. Which underlying condition should be considered?
AHypospadias
BNephrotic syndrome
CVesicoureteral reflux
DTesticular torsion on both sides
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A bag contains 20 000 units of heparin in 500 mL. The order is 20 units/kg/h for a patient who weighs 80 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
20 000 units/500 mL20 units/kg/h80 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A bag contains dobutamine 500 mg in 250 mL. The order is 5 mcg/kg/min for a patient who weighs 71 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
500 mg/250 mL5 mcg/kg/min71 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 1000 mL infusion starts at 08:00 at 100 mL/h. After 3 hours the rate is changed to 150 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 mL100 mL/h · 3 h150 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: C · A fast heart rate with a prolonged capillary refill
Why this is the answer
Children maintain their blood pressure until late in shock. Early signs include tachycardia, prolonged capillary refill, cool peripheries, reduced urine output and changes in behaviour.
Answer
C · A fast heart rate with a prolonged capillary refill
2.Pediatric nursing
Answer: C · Vesicoureteral reflux
Why this is the answer
Vesicoureteral reflux allows urine to flow back from the bladder into the ureters and kidneys, causing recurrent UTIs and possible kidney scarring. Children with repeated febrile UTIs are investigated with imaging.
Answer
C · Vesicoureteral reflux
3.Pediatric & critical-care dosing
Answer: R = 40 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
20·80 = 1 600 units/h
Concentration
20 000/500 = 40 units/mL
Pump rate
R = 1600/40 = 40 mL/h
Answer
R = 40 mL/h
4.Pediatric & critical-care dosing
Answer: R = 10.7 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
500 mg = 500 000 mcg
500 000/250 = 2000 mcg/mL
Dose per minute and per hour
5·71 = 355 mcg/min
355·60 = 21300 mcg/h
Pump rate
R = 21300/2000 = 10.65 ≈ 10.7 mL/h
Answer
R = 10.7 mL/h
5.IV fluids & fluid balance
Answer: B = 290 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: 250 + 150 + 240 = 640 mL
IV infusion: 125·8 = 1000 mL
IV antibiotic: 2·50 = 100 mL
total intake = 1740 mL
Total output
450 + 400 + 375 + 225 = 1450 mL
Balance
B = 1740 − 1450 = 290 mL
Answer
B = 290 mL
Positive: more fluid went in than came out.
6.IV fluids & fluid balance
Answer: t = 7.7 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
100·3 = 300 mL
1000 − 300 = 700 mL left
Second part
700/150 = 4.667 h
Total time
t = 3 + 4.667 = 7.667 ≈ 7.7 h
Answer
t = 7.7 h
That is about 7 h 40 min, so the bag runs out at about 15:40.