Serial Dilution Factor & Stock Aliquot (C₁V₁ = C₂V₂) Calculator

Plan C₁V₁ = C₂V₂ stock transfers and multi-tube serial dilution cascades.

Stock Aliquot Transfer Volume (V₁)
0.5 mL
Diluent Buffer Volume per Tube 4.5 mL
Step Dilution Factor (DF) 10 ×
Concentration After Step 4 0.01 mM
Inputs
mM
Starting stock solution concentration (C₁).
mM
Target concentration for the first dilution tube (C₂).
mL
Total volume per dilution tube in milliliters.
steps
Number of sequential serial dilution transfers.
Results & Graph
Stock Aliquot Transfer Volume (V₁)
0.5 mL
Diluent Buffer Volume per Tube
4.5 mL
Step Dilution Factor (DF)
10 ×
Concentration After Step 4
0.01 mM

Stock Aliquot Transfer Volume (V₁)

Graph 1 • Stock Concentration C1 Sensitivity Recalculates the domain equation across 50% to 150% of the primary input while holding other parameters constant.
0 mL 0.5 mL 1.1 mL 50%: 1 mL 1 50% 75%: 0.67 mL 0.7 75% 100%: 0.5 mL 0.5 100% 125%: 0.4 mL 0.4 125% 150%: 0.33 mL 0.3 150%
Graph 2 • Primary & Supporting Metric Comparison Compares the primary output alongside supporting domain benchmarks.
Stock Aliquot Transfer Volume (V₁) 0.5 mL Diluent Buffer Volume per Tube 4.5 mL Step Dilution Factor (DF) 10 × Concentration After Step 4 0.01 mM
Graph 3 • Exact Output Table & Units Displays each calculated output in its exact domain unit.
Stock Aliquot Transfer Volume (V₁)0.5 mLDiluent Buffer Volume per Tube4.5 mLStep Dilution Factor (DF)10 ×Concentration After Step 40.01 mM
Summary: Combine 0.5 mL stock with 4.5 mL diluent (1:10 dilution factor); after 4 serial steps, concentration reaches 0.01 mM.
Summary: Combine 0.5 mL stock with 4.5 mL diluent (1:10 dilution factor); after 4 serial steps, concentration reaches 0.01 mM.
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Interactive chart & math engine powered by CalculatorGraph

Formula & Mathematical Methodology: Serial Dilution & C₁V₁ Reference Equation

V₁ = (C₂ × Vfinal) / C₁
Vdiluent = Vfinal − V₁
CstepN = C₀ / (DilutionFactor)N
V₁ = (C₂ × V_final) / C₁; V_diluent = V_final − V₁; C_step_N = C₀ / (DilutionFactor)^N
  • stockConcentrationC1: Stock Concentration C1 (mM)
  • targetStepConcentrationC2: Target Step Concentration C2 (mM)
  • finalTubeVolumeMl: Final Tube Volume Ml (mL)
  • serialStepsCount: Serial Steps Count (steps)

Rounding: Laboratory and clinical equations retain full floating-point precision and round displayed results to 2 decimal places.

Worked Example: Reference Calculation: Serial Dilution & C₁V₁

Plan C₁V₁ = C₂V₂ stock transfers and multi-tube serial dilution cascades.

  1. Enter the reagent concentrations, assay readings, or clinical laboratory parameters.
  2. Compute the standard formula: V₁ = (C₂ × V_final) / C₁; V_diluent = V_final − V₁; C_step_N = C₀ / (DilutionFactor)^N.
  3. Review the primary result, supporting reference intervals, and 3 SVG visualizations.
Result: Evaluates Serial Dilution & C₁V₁ via V₁ = (C₂ × V_final) / C₁; V_diluent = V_final − V₁; C_step_N = C₀ / (DilutionFactor)^N.

Frequently Asked Questions

What formula is used by the Serial Dilution Factor & Stock Aliquot (C₁V₁ = C₂V₂) Calculator?

It computes V₁ = (C₂ × V_final) / C₁; V_diluent = V_final − V₁; C_step_N = C₀ / (DilutionFactor)^N and plots three custom SVG graphs showing parameter sensitivity and component breakdowns.

Can I compare different reagent dilutions or lab scenarios side by side?

Yes. Use the "Compare (0/3)" button to pin up to 3 scenarios side by side.

Are entered values stored on any server?

No. Every calculation runs 100% locally in your browser.

Science & Engineering · Analytical Chemistry & Lab Bench

Serial Dilution Factor & Stock Aliquot (C₁V₁ = C₂V₂) Calculator: inputs, method, and how to read the result

Plan C₁V₁ = C₂V₂ stock transfers and multi-tube serial dilution cascades.

Choose inputs for the case you are checking

The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.

  • Stock Concentration C1: Starting stock solution concentration (C₁).
  • Target Step Concentration C2: Target concentration for the first dilution tube (C₂).
  • Final Tube Volume Ml: Total volume per dilution tube in milliliters.
  • Serial Steps Count: Number of sequential serial dilution transfers.

What the calculation includes

With the default values shown, Stock Aliquot Transfer Volume (V₁) is 0.5 mL. The calculation follows Serial Dilution & C₁V₁ Reference Equation; the formula and variable definitions above show how the inputs combine.

One-input check: With the other defaults held constant, changing Stock Concentration C1 from 100 mM to 110 mM changes Stock Aliquot Transfer Volume (V₁) from 0.5 mL to 0.45 mL. This is a comparison inside the calculator's stated model, not a prediction.

Where to use caution

  • Uses standard IUPAC atomic weights, 25°C (298.15 K) reference thermodynamics, and published clinical literature equations.
  • Educational and laboratory reference tool only; clinical scoring calculators do not replace professional medical judgment or institutional protocols.

Scope: IUPAC / NIH Laboratory & Clinical Reference Standard Check the assumptions and limitations against your situation before relying on the estimate.

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