Dilution Calculator
mg/mL

Calculate dilutions in milligrams per milliliter. Perfect for drug formulation, IV infusion preparation, and laboratory reagent dilution with mass-volume units.

5
Calc Modes
0ms
Solve Time
100%
Free Forever
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 Dilution Calculator mg/mL?

A dilution calculator mg/mL solves C₁V₁ = C₂V₂ using mass-per-volume concentration units — the standard in pharmaceutical, clinical, and food science settings. Enter concentrations in mg/mL, µg/mL, or ng/mL and volumes in mL or µL to find the stock volume needed, the resulting concentration, or the total volume required. This covers drug formulation, IV preparation, and analytical standard dilution.

⚡

Benefits

  • Works directly with mg/mL — no molarity conversion needed
  • Calculates IV drug dilution for infusion preparation
  • Supports µg/mL and ng/mL for trace analysis
  • Shows diluent volume for reconstitution protocols
🔬

Applications

  • IV drug concentration adjustment in hospital pharmacy
  • Analytical standard preparation for HPLC and GC
  • Protein concentration dilution for Bradford or BCA assays
  • Pesticide residue standard preparation for EPA methods

Mass-volume concentration (mg/mL) eliminates the need to know molecular weight — unlike molarity. This makes mg/mL the preferred unit for complex mixtures, biologics, and polymers. Pharmaceutical manufacturers including Pfizer, Roche, and AbbVie express drug concentrations in mg/mL on vial labels. Analytical chemists preparing calibration standards for Agilent HPLC or Waters UPLC systems typically work in µg/mL. This mg/mL dilution calculator bridges both workflows.

📐 Core Equation

mg/mL Dilution Equation

The mg/mL dilution equation is identical to C₁V₁ = C₂V₂ — but with concentration expressed as mass per volume (mg/mL) instead of molarity. C₁ is the stock concentration in mg/mL, V₁ is the volume of stock taken, C₂ is the target concentration in mg/mL, and V₂ is the total final volume.

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

When working in mg/mL, you skip the molecular weight step entirely. A 10 mg/mL bovine serum albumin (BSA) stock diluted to 2 mg/mL uses the same formula: V₁ = (2 × V₂) ÷ 10. This is why protein assay standards from Bio-Rad and Thermo Fisher are supplied in mg/mL — it simplifies preparation across different proteins regardless of molecular weight.

🔢 Factor

mg/mL Dilution Factor

The dilution factor in mg/mL terms equals C₁ ÷ C₂. A 50 mg/mL stock diluted to 5 mg/mL has a factor of 10. For analytical standards, the dilution factor helps back-calculate the original sample concentration from the measured value.

DF = C₁ ÷ C₂ = V₂ ÷ V₁

Clinical laboratories running immunoassays on Roche cobas or Abbott Architect analyzers report results in ng/mL or µg/mL. When sample concentrations exceed the assay range, technicians dilute the sample and multiply the result by the dilution factor. This mg/mL dilution factor calculator handles the full range from ng/mL to g/mL.

Interactive: Click a factor to see the stock-to-diluent ratio
1 part stock
1 part diluent
Factor2×
Stock1 part
Diluent1 part
Total2 parts
📋 Step by Step

Step-by-Step Dilution Calculator mg/mL Guide

Follow these steps to calculate your dilution:

1
Record the stock concentration in mg/mL. Example: Vancomycin vial reconstituted to 50 mg/mL.
2
Identify the target concentration. Example: 5 mg/mL for IV infusion in 0.9% NaCl.
3
Set the final infusion volume. Example: 250 mL total volume for slow infusion.
4
Calculate stock volume needed. V₁ = (5 × 250) ÷ 50 = 25 mL of reconstituted drug.
5
Add diluent to reach final volume. Add 225 mL of 0.9% NaCl. Mix gently by inversion.
🔬 Serial Dilution

Serial Dilutions in mg/mL

Serial dilution in mg/mL is standard for creating calibration curves in analytical chemistry. A series of standards at 100, 50, 25, 12.5, 6.25, and 3.125 µg/mL covers the linear range of most UV-Vis spectrophotometry methods.

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
1×
›
Tube 1
500 µM
2×
›
Tube 2
250 µM
4×
›
Tube 3
125 µM
8×
›
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.

Pharmaceutical quality control labs following ICH Q2(R1) validation guidelines prepare multi-point calibration curves by serial dilution of a certified reference standard. HPLC methods for assay and impurity testing from the USP require 5–7 calibration points. This mg/mL serial dilution calculator generates the exact concentrations and volumes for each point in the curve.

✏️ Worked Example

Dilution Calculator mg/mL Example

Problem: A pharmacist needs to prepare 100 mL of 1 mg/mL lidocaine from a 20 mg/mL stock for subcutaneous infiltration.

Step 1Identify variables
C₁ = 20 mg/mL (lidocaine stock)
C₂ = 1 mg/mL (target for infiltration)
V₂ = 100 mL (final volume)
V₁ = ? (stock volume to draw)
Step 2Rearrange formula
V₁ = (C₂ × V₂) ÷ C₁
Step 3Substitute values
V₁ = (1 × 100) ÷ 20 = 5 mL
Step 4Calculate diluent
Diluent = 100 − 5 = 95 mL
Step 5Verify
DF = 20 ÷ 1 = 20× dilution
Step 1 of 5
🧪
Recipe: Draw 5 mL of 20 mg/mL (2%) lidocaine using a sterile syringe. Inject into a 100 mL bag of 0.9% sodium chloride. Mix by gentle inversion. Label with: Lidocaine 1 mg/mL (0.1%), volume 100 mL, date, time, and preparer initials. Use within 24 hours per hospital pharmacy policy.
❓ FAQ

Frequently Asked Questions

Divide the mg/mL concentration by the molecular weight (g/mol), then multiply by 1000. Molarity (mM) = (mg/mL ÷ MW) × 1000. For example, 5 mg/mL glucose (MW 180.16): (5 ÷ 180.16) × 1000 = 27.75 mM. This mg/mL dilution calculator works directly in mg/mL, so molarity conversion is optional — use it only when protocols specify molar concentrations.

1% w/v = 10 mg/mL. Percent weight-per-volume means grams per 100 mL. A 1% solution contains 1 g per 100 mL = 10 mg per mL. To convert: mg/mL ÷ 10 = % w/v. A 50 mg/mL solution is 5% w/v. This mg/mL concentration calculator handles both notations.

Use V₁ = (C₂ × V₂) ÷ C₁. If the vial is 10 mg/mL and you need 2 mg/mL in 50 mL: V₁ = (2 × 50) ÷ 10 = 10 mL. Draw 10 mL from the vial, add to a 50 mL container, and fill to 50 mL with the appropriate diluent (sterile water, normal saline, or D5W per the drug monograph). Always verify compatibility from the package insert or Lexicomp database.