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Solution Dilution Calculator (M1V1 = M2V2)

Input Parameters

Instant Real-time Calculation
Result Chemistry
Stock Volume to Measure (V1)
-- mL
Export calculation:
Calculation Logic:

Calculates stock aliquot volume V1 required to produce volume V2 at lower concentration M2, relying on conservation of solute moles.

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Understanding Solution Dilution Calculator (M1V1 = M2V2) & Formula

Mathematical Formula: M1 × V1 = M2 × V2; V1 = (M2 × V2) / M1

The Solution Dilution Calculator (M1V1 = M2V2) on CalculatorScale.com is engineered to deliver instant, mathematically verified calculations conforming strictly to standard institutional equations. Whether planning long-term investments, managing household budgets, tracking clinical fitness targets, analyzing academic genetics, calculating veterinary dosages, or converting dimensional units, every calculation updates dynamically in real time without lag.

Every formula used in this tool adheres to certified international standards, including World Health Organization biometric metrics, veterinary clinical guidelines, NIST physical conversion constants, and standard biological equations. Results are computed entirely client-side inside your browser with complete data privacy, ensuring your sensitive numbers and statistics never leave your device.

Our calculators are 100% free with no registration, subscriptions, or paywalls required. You can toggle between imperial and metric units, customize input parameters, export calculation summaries, or embed this calculator directly into your own website or blog.

Dilution Preparation Guidelines

Stock Reagent (M1)Desired (M2)Target Volume (V2)Measure Stock (V1)Add Solvent Up To
10.0 M NaOH1.0 M1,000 mL100 mL1,000 mL mark
50X TAE Buffer1X1,000 mL20 mL1,000 mL mark
1.0 M Tris-HCl0.05 M200 mL10 mL200 mL mark
100% DMSO10%50 mL5 mL50 mL mark

How to Use the Solution Dilution Calculator (M1V1 = M2V2)

  1. 1 Input the known stock concentration M1.
  2. 2 Input desired final concentration M2.
  3. 3 Input desired final volume V2 in mL.
  4. 4 Obtain stock volume V1; subtract V1 from V2 to determine diluent volume.
FAQ & Help 1 question

Solution Dilution Calculator (M1V1 = M2V2) — Frequently Asked Questions

Q1 Does M1V1 = M2V2 work with any concentration units? ▾

Yes! As long as both concentrations share the same units (e.g. both in M, mM, mg/mL, or %) and both volumes share the same units, the formula is universally valid.

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