⚠️ MEDICATION CALCULATION DISCLAIMER

These calculators are reference tools for educational use only. ALWAYS verify calculations against your local protocols and confirm with a second source before medication administration. Follow your medical direction and medical control physician. The Firefighter Medic is not responsible for medication errors or adverse outcomes. Read full disclaimer →

🔢 Math Class

Field-ready calculators for meds, drips, burn resuscitation, concentrations, and pump operations. Always follow your local protocols.

💉 Medication Calculators

Drug dosing, drip rates, weight-based infusions, and concentration mixing

💉 Master Formula (Paramedic Drip)

gtt/min = (Desired dose × Solution set × Weight) ÷ (Concentration × Time)

Example: Dopamine — 5 mcg/kg/min, 80 kg, 400 mg/250 mL, microdrip 60

Order: “Dopamine at 5 mcg/kg/min.” Patient 80 kg. Bag: 400 mg in 250 mL D5W. Conc = 1,600 mcg/mL. Rate = (5 × 80 × 60) ÷ 1,600 = 15 mL/hr. Drops per second: 15 gtt/min ÷ 60 = 0.25 drops/sec, or 1 drop every 4 sec.

Dose: 5 mcg/kg/min Weight: 80 kg Bag amount: 400 mg Bag volume: 250 mL Drip factor: 60

→ 15 mL/hr | 15 gtt/min | 1 drop every 4 sec

Desired Dose

Concentration

in

Auto-normalizes all units (mg↔mcg, lb↔kg, per-hr↔per-min) and shows both gtt/min and mL/hr.

Results

Drip rate
Pump rate
Drops per second
Show steps

            

Drip Rate (gtt/min)

gtt/min = (Volume × Drip factor) ÷ Time (min)

Examples: 1 L NS over 8 hr (15 gtt set) | 500 mL in 30 min (micro 60)

Ex 1: 1,000 mL NS over 8 hr (480 min), macrodrip 15 gtt/mL.  Ex 2: 500 mL over 30 min, microdrip 60 gtt/mL.

Ex 1 → 31 gtt/min    Ex 2 → 1,000 gtt/min (pump-only rate)

Concentrations (C1V1 = C2V2)

Make a new concentration or a specific dose in a target volume.

Examples: Make Epi 1:100,000 from 1:10,000 | Draw 0.3 mg Epi in 5 mL

Mode A — Make Epi 1:100,000: Stock (C1) = 0.1 mg/mL (1:10,000). Final volume 10 mL. Target = 0.01 mg/mL (1:100,000). → Draw 1 mL + 9 mL NS.

C1: 0.1 mg/mL V2: 10 mL C2: 0.01 mg/mL

Mode B — Draw 0.3 mg Epi in 5 mL: Stock 0.1 mg/mL, desired dose 0.3 mg, final volume 5 mL. → Draw 3 mL stock + 2 mL NS.

C1: 0.1 mg/mL Dose: 0.3 mg Final vol: 5 mL
Mode A: Target concentration
Mode B: Make X mg in Y mL

💊 Vial Simplifier — Concentration & Dose

Step 1: enter the vial label to get the simplified concentration (mg/mL). Step 2: enter the ordered dose to get the volume to draw up.

Examples: Epi 1:10,000 · Morphine 10 mg/10 mL · Atropine 1 mg/10 mL
Epi 1:10,000 = 1 mg / 10 mL → 0.1 mg/mL. Give 0.3 mg → 3 mL Morphine 10 mg / 10 mL → 1 mg/mL. Give 4 mg → 4 mL Atropine 1 mg / 10 mL → 0.1 mg/mL. Give 0.5 mg → 5 mL Diltiazem 25 mg / 5 mL → 5 mg/mL. Give 20 mg → 4 mL

Step 1 — Vial label

in mL
— mg/mL

Step 2 — Ordered dose

⚖️ Weight-Based Dose Calculator

Total dose = (Dose/kg) × Weight  |  Volume to draw = Total dose ÷ Concentration

Example: Epi 1:10,000 — 0.01 mg/kg — 14 kg patient → 0.14 mg / 1.4 mL

Epi 1:10,000 vial = 1 mg in 10 mL = 0.1 mg/mL. Ordered dose: 0.01 mg/kg. Patient: 14 kg. Total dose = 0.01 × 14 = 0.14 mg. Volume = 0.14 ÷ 0.1 = 1.4 mL.

Vial: 1 mg in 10 mL Dose: 0.01 mg/kg Weight: 14 kg

→ Concentration 0.1 mg/mL · Total dose 0.14 mg · Draw up 1.4 mL

Vial

in mL
— mg/mL

Dose & Weight

🔥 Burn Resuscitation

Parkland formula for fluid replacement in burn patients

Parkland Formula

Total 24h LR = 4 mL × kg × %TBSA. Half in first 8h (from time of burn), remainder over next 16h.

Example: 80 kg, 25% TBSA, 2 hr since burn, 500 mL already given

Adult male, 80 kg. 25% TBSA burns. Burn occurred 2 hours ago. 500 mL LR already given en route.

Weight: 80 kg %TBSA: 25 Elapsed: 2 hr Already given: 500 mL

→ Total 8,000 mL · Phase 1 goal 4,000 mL · 3,500 mL remaining ÷ 6 hr = 583 mL/hr · Behind by 500 mL flagged

"First-hour average" (often referenced as a quick start) = Total ÷ 16. Adjust using elapsed time to meet the 0–8h goal.

Modified Parkland Formula

Fluid Volume (mL) = 0.25 mL × kg × %TBSA

Example: 80 kg patient, 30% TBSA

80 kg patient with 30% TBSA burns. 0.25 × 80 × 30 = 600 mL.

Weight: 80 kg %TBSA: 30

→ 600 mL

🚒 Pump Operations

Friction loss, nozzle pressure, and pump discharge calculations

Preconnect / Handline PDP

PDP = Nozzle Pressure + Friction Loss + Appliance + Elevation

Example: 1¾" handline, 150 GPM fog nozzle, 200 ft of hose

Standard residential attack line: 1¾" pre-connect, 150 GPM fog nozzle at 100 psi NP, 200 ft of hose, no elevation or appliance loss. FL = 15 × (1.5)² × 2 = 67.5 psi.

Mode: Fog GPM: 150 NP: 100 psi Hose: 1.75″ Length: 200 ft Elevation: 0

→ FL ≈ 67.5 psi | PDP ≈ 167.5 psi

Flow source
Hose & Friction Loss
Appliance & Elevation

Elevation ≈ 0.5 psi per foot gain (downhill subtract).

Coefficients and target nozzle pressures vary by department and equipment. Use your agency standards.

These tools assist with calculations but do not replace clinical judgment or agency policy.