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Amoxicillin
Dilution Calculator

Calculate pediatric suspension volumes, reconstitute amoxicillin powder, and prepare IV antibiotic dilutions with step-by-step guidance.

5
Calc Modes
0ms
Solve Time
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C₁ × V₁ = C₂ × V₂
Leave one field blank to solve for it. Keep C₁ & C₂ in the same units.
C₁ Stock Concentration (initial)
SOLVING
V₁ Stock Volume (to take)
SOLVING
C₂ Final Concentration (desired)
SOLVING
V₂ Final Volume (total)
SOLVING
DF = C₁ ÷ C₂ = V₂ ÷ V₁
Enter stock & final concentrations. Optionally add volume for a recipe.
C₁ Stock Concentration
C₂ Final Concentration (same unit)
Final Volume (optional — for mixing recipe)
Stock : Diluent → Volumes
Enter parts stock, parts diluent, and total volume to make.
Parts Stock (the "1" in 1:10)
Parts Diluent (the "10" in 1:10)
Final Volume (total)
V₁ = (C₂ × V₂) ÷ C₁
Dilute a % stock to a target % — works for w/v, v/v, and w/w.
Stock Strength (% — higher value)
%
Target Strength (% — desired)
%
Final Volume Needed (total to make)
Cₙ = C₀ ÷ DFⁿ
Build a multi-step serial dilution series with a consistent dilution factor.
Starting Concentration (C₀)
Dilution Factor per Step (e.g. 10 for 1:10)
Number of Steps (tubes after stock)
Concentration Unit (label, optional)
⚠️ Error message here
Calculation Result
🧪 Overview

What Is a Amoxicillin Dilution Calculator?

An amoxicillin dilution calculator applies C₁V₁ = C₂V₂ to determine the correct volume of amoxicillin stock solution needed for pediatric dosing, IV preparation, or laboratory susceptibility testing. Pharmacists, nurses, and clinical microbiologists use this tool daily to convert between amoxicillin concentrations — typically 250 mg/5 mL or 400 mg/5 mL oral suspensions — and target doses based on patient weight.

Benefits

  • Converts mg/kg pediatric doses to suspension volumes
  • Handles 125, 250, and 400 mg/5 mL suspension strengths
  • Calculates reconstitution volumes for amoxicillin powder
  • Shows step-by-step breakdown for pharmacy verification
🔬

Applications

  • Pediatric dosing by weight for amoxicillin suspensions
  • IV amoxicillin preparation in hospital pharmacy
  • MIC testing dilution series in clinical microbiology
  • Compounding custom amoxicillin concentrations

The calculator accepts concentration inputs in mg/mL, percentage, and molarity. Hospital pharmacists at institutions following Joint Commission standards rely on this amoxicillin dilution calculator for safe preparation of antibiotic solutions. Amoxicillin, manufactured by GlaxoSmithKline (Amoxil), Teva Pharmaceutical, and Sandoz, remains one of the most prescribed antibiotics worldwide — accurate dilution directly impacts patient safety.

📐 Core Equation

How Amoxicillin Dilution Works

Amoxicillin dilution follows the same conservation-of-mass principle as any solution dilution: the total mass of amoxicillin stays constant when you add diluent. The equation C₁V₁ = C₂V₂ captures this. C₁ is the stock concentration of your amoxicillin solution — typically 50 mg/mL for IV or 250 mg/5 mL for oral suspension. V₁ is the volume you draw with a syringe. C₂ is the target concentration prescribed by the physician. V₂ is the total final volume administered to the patient.

Interactive: Hover each variable to see its role
C₁ × V₁ = C₂ × V₂
C₁ = High conc. V₁ = Small vol.
Stock Solution
+ Diluent
C₂ = Low conc. V₂ = Large vol.
Final Solution
💡 The total amount of solute (C × V) is the same in both vessels — only the concentration changes.

Rearrange the equation to solve for any unknown:

V₁ = (C₂ × V₂) ÷ C₁— how much stock to pipette
C₂ = (C₁ × V₁) ÷ V₂— what concentration you'll get
V₂ = (C₁ × V₁) ÷ C₂— total volume needed

This equation works for all amoxicillin formulations — oral suspensions, IV infusions, and laboratory stock solutions. Whether you reconstitute amoxicillin trihydrate powder with sterile water or dilute an existing suspension for a low-weight infant, the math remains identical. The FDA requires pharmacies to verify dilution calculations as part of United States Pharmacopeia (USP) Chapter 797 compliance for sterile compounding.

🔢 Factor

Amoxicillin Dilution Factor in Practice

The dilution factor for amoxicillin tells you how many times the stock solution is diluted. When a physician orders 25 mg/mL from a 250 mg/5 mL (50 mg/mL) stock, the dilution factor is 50 ÷ 25 = 2. This means equal parts stock and diluent.

DF = C₁ ÷ C₂ = V₂ ÷ V₁

Clinical microbiology laboratories performing minimum inhibitory concentration (MIC) testing create serial dilutions of amoxicillin in Mueller-Hinton broth. The Clinical and Laboratory Standards Institute (CLSI) publishes breakpoint tables that define susceptibility ranges — labs rely on precise dilution factors to generate valid results on instruments from bioMérieux and Beckman Coulter.

Interactive: Click a factor to see the stock-to-diluent ratio
1 part stock
1 part diluent
Factor
Stock1 part
Diluent1 part
Total2 parts
📋 Step by Step

Step-by-Step Amoxicillin Dilution Calculator Guide

Follow these steps to calculate your dilution:

1
Record the amoxicillin stock concentration (C₁). Example: 250 mg/5 mL oral suspension = 50 mg/mL.
2
Determine the prescribed dose concentration (C₂). Example: Physician orders 25 mg/mL for a pediatric patient.
3
Set the final volume (V₂) based on dosing frequency. Example: 10 mL per dose, administered three times daily.
4
Calculate stock volume: V₁ = (C₂ × V₂) ÷ C₁. V₁ = (25 × 10) ÷ 50 = 5 mL of stock suspension.
5
Add diluent to reach final volume. Add 5 mL sterile water or flavored vehicle to 5 mL stock.
🔬 Serial Dilution

Serial Dilution of Amoxicillin for MIC Testing

Serial dilution of amoxicillin creates a range of concentrations to test bacterial susceptibility. Clinical labs perform two-fold serial dilutions in 96-well microtiter plates, starting from a high amoxicillin concentration (e.g., 256 µg/mL) and halving at each step down to 0.06 µg/mL.

Cₙ = C₀ ÷ DFⁿ
C₀ = starting concentration · DF = dilution factor per step · n = step number
Interactive: Two-fold serial dilution from 1000 µM — hover each tube
Stock
1000 µM
Tube 1
500 µM
Tube 2
250 µM
Tube 3
125 µM
Tube 4
62.5 µM
16×
Tube 5
31.25 µM
32×
🧫 Each tube: Transfer a fixed volume → add diluent → mix → repeat. Concentration halves at every step.

The CLSI M100 document defines amoxicillin breakpoints for organisms like Streptococcus pneumoniae and Haemophilus influenzae. Automated systems from bioMérieux (VITEK 2) and Beckman Coulter (MicroScan) use pre-loaded amoxicillin serial dilution panels. Manual dilution still applies in reference laboratories and when custom concentration ranges are needed for research with organisms like Helicobacter pylori.

✏️ Worked Example

Amoxicillin Dilution Calculator Example

Problem: A pediatrician prescribes amoxicillin 125 mg three times daily for a 15 kg child. The pharmacy stocks 250 mg/5 mL suspension.

Step 1Identify variables
C₁ = 50 mg/mL (250 mg/5 mL stock)
Dose = 125 mg (prescribed per administration)
V₂ = 5 mL (target dose volume)
V₁ = ? (volume of stock to dispense)
Step 2Rearrange formula
V₁ = Dose ÷ C₁
Step 3Substitute values
V₁ = 125 ÷ 50 = 2.5 mL
Step 4Calculate diluent
Diluent = 5 − 2.5 = 2.5 mL
Step 5Verify
DF = 50 ÷ 25 = 2× dilution
Step 1 of 5
🧪
Recipe: Measure 2.5 mL of the 250 mg/5 mL amoxicillin suspension using a calibrated oral syringe. The patient receives 2.5 mL per dose (125 mg) directly from the stock suspension — no further dilution needed at this concentration. Store the remaining suspension in a refrigerator at 2–8°C and discard after 14 days per manufacturer guidance.
❓ FAQ

Frequently Asked Questions

Divide the prescribed dose (mg) by the stock concentration (mg/mL) to get the volume. For a 125 mg dose from a 250 mg/5 mL (50 mg/mL) suspension: 125 ÷ 50 = 2.5 mL. For weight-based dosing (e.g., 25 mg/kg/day divided into 3 doses), multiply the child's weight by 25, divide by 3 for per-dose amount, then divide by the stock concentration. This amoxicillin dosing calculator handles all common suspension strengths — 125 mg/5 mL, 250 mg/5 mL, and 400 mg/5 mL — used in pediatric pharmacies worldwide.

Use purified water or sterile water for injection as specified on the manufacturer label. Amoxicillin trihydrate powder for oral suspension requires a specific volume of water to reach the labeled concentration (e.g., 250 mg/5 mL). Add approximately two-thirds of the required water, shake vigorously, then add the remaining water to the final mark. GlaxoSmithKline's Amoxil and generic versions from Teva and Sandoz include reconstitution instructions on each bottle. For IV amoxicillin (available outside the US), reconstitute with Water for Injection per the product datasheet.

Yes, but verify stability first. Apply C₁V₁ = C₂V₂ to calculate the volumes. If the stock is 50 mg/mL and you need 10 mg/mL, use V₁ = (10 × V₂) ÷ 50. However, further dilution may affect stability and palatability. Consult the USP stability database or contact the manufacturer. Diluted amoxicillin suspensions typically have shorter beyond-use dates — often 24 hours at room temperature or 48 hours refrigerated — compared to the standard 14-day shelf life of the reconstituted product.