Stock Dilution Calculator (C₁V₁ = C₂V₂)
Calculates volume of concentrated stock (V₁) and volume of diluent needed to prepare a diluted solution of target concentration (C₂) and volume (V₂).
⚠️ Educational Calculation & Clinical Safety Safeguard: Target concentration C₂ must be strictly less than or equal to stock concentration C₁. Educational calculations do not replace clinician assessment, patient-specific laboratory monitoring, or institutional prescribing protocols.
Interactive Calculator
Allowed physiological/compounding range: 0.001 to 10000 % or mg/mL
Allowed physiological/compounding range: 0.0001 to 10000 % or mg/mL (same unit)
Allowed physiological/compounding range: 0.1 to 50000 mL
Calculated Output (mL stock (V₁) & mL diluent)
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Step-by-Step Mathematical Derivation & Explanation:
Validated Formula & Conversion Rules
V₁ = (C₂ × V₂) / C₁; Diluent to Add = V₂ − V₁Worked Clinical Example
Prepare 500 mL of 2% w/v solution from 20% w/v stock: V₁ = (2 × 500) / 20 = 50 mL stock + 450 mL diluent.
Rounding Rules, Assumptions & Source References
- Rounding Rule: Measure V₁ in an appropriately sized graduated cylinder or volumetric pipette.
- Clinical Assumptions & Limitations: Validated only within the stated physiological input boundaries. For paediatric, renal (Cockcroft-Gault), and critical-care infusion calculations, always cross-check against official product labelling and institutional guidelines.
- Source References: Indian Pharmacopoeia (IP 2022), National Formulary of India (NFI), British National Formulary (BNF), and NCBI Bookshelf Clinical Pharmacology Compendia.