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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
How should an infant with heart failure be fed?
ALarge feeds every 6 hours so the baby can rest in between
BSmall, frequent feeds with rest breaks, using higher-energy milk if prescribed
CStop the feed when the baby tires and wait until the next scheduled feed
DLying flat on the back so the baby does not need to hold the head up
2.Pediatric nursingHard
A child with a central venous catheter for chemotherapy develops fever and rigors shortly after the line is flushed. What should the nurse suspect?
AA normal reaction to the chemotherapy
BA blocked line that needs more forceful flushing
CAn allergy to the saline flush
DA catheter-related bloodstream infection
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion contains 100 units of regular insulin in 250 mL. The order is 0.05 units/kg/h for a patient who weighs 92 kg. Find the pump rate R in mL/h. Round to one decimal place.
100 units/250 mL0.05 units/kg/h92 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 7.5 mcg/kg/min for a patient who weighs 110 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
500 mg/250 mL7.5 mcg/kg/min110 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 infusion starts at 08:00 at 75 mL/h. After 3 hours the rate is changed to 100 mL/h and is not changed again. How many hours t after the start will the bag be empty? Round to one decimal place.
500 mL75 mL/h · 3 h100 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: B · Small, frequent feeds with rest breaks, using higher-energy milk if prescribed
Why this is the answer
Infants with heart failure use a lot of energy and tire easily. Small, frequent feeds, rest breaks, a semi-upright position and energy-dense milk help them grow; tube feeding may be needed if they cannot take enough.
Answer
B · Small, frequent feeds with rest breaks, using higher-energy milk if prescribed
2.Pediatric nursing
Answer: D · A catheter-related bloodstream infection
Why this is the answer
Fever and rigors linked to flushing or use of a central line strongly suggest line infection. Blood cultures are taken (often from the line and a peripheral vein) and IV antibiotics are started urgently, especially if the child is neutropenic.
Answer
D · A catheter-related bloodstream infection
3.Pediatric & critical-care dosing
Answer: R = 11.5 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
0.05·92 = 4.6 units/h
Concentration
100/250 = 0.4 units/mL
Pump rate
R = 4.6/0.4 = 11.5 mL/h
Answer
R = 11.5 mL/h
4.Pediatric & critical-care dosing
Answer: R = 24.8 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
7.5·110 = 825 mcg/min
825·60 = 49500 mcg/h
Pump rate
R = 49500/2000 = 24.75 ≈ 24.8 mL/h
Answer
R = 24.8 mL/h
5.IV fluids & fluid balance
Answer: B = 485 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 + 200 = 400 mL
ice chips: 100/2 = 50 mL
IV infusion: 75·12 = 900 mL
IV antibiotic: 1·50 = 50 mL
total intake = 1400 mL
Total output
400 + 475 + 40 = 915 mL
Balance
B = 1400 − 915 = 485 mL
Answer
B = 485 mL
Positive: more fluid went in than came out.
6.IV fluids & fluid balance
Answer: t = 5.8 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
75·3 = 225 mL
500 − 225 = 275 mL left
Second part
275/100 = 2.75 h
Total time
t = 3 + 2.75 = 5.75 ≈ 5.8 h
Answer
t = 5.8 h
That is about 5 h 45 min, so the bag runs out at about 13:45.