Serial Dilution Calculator
ANA›Life Services Authority›National Calculator Authority›Serial Dilution Calculator
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Serial Dilution Calculator
Calculate the final concentration after a series of dilution steps, or determine the dilution factor needed to reach a target concentration.
Initial Concentration (C₀)
M (molar) mM µM nM mg/mL µg/mL ng/mL %
Dilution Factor per Step (e.g. 10 for 1:10)
Number of Dilution Steps
Volume of Stock Taken per Step (µL)
Volume of Diluent Added per Step (µL)
Note: If you enter both dilution factor AND volumes, volumes take priority (dilution factor = (stock + diluent) / stock).
Calculate
function serCalc() { const resultDiv = document.getElementById('ser-result'); resultDiv.style.display = 'block';
const C0 = parseFloat(document.getElementById('ser-initial-conc').value); const unit = document.getElementById('ser-conc-unit').value; const dfInput = parseFloat(document.getElementById('ser-dilution-factor').value); const steps = parseInt(document.getElementById('ser-steps').value); const vStock = parseFloat(document.getElementById('ser-volume-stock').value); const vDil = parseFloat(document.getElementById('ser-volume-diluent').value);
// --- Validation --- if (isNaN(C0) || C0 ⚠ Please enter a valid positive Initial Concentration.'; return; } if (isNaN(steps) || steps 50 || !Number.isInteger(steps)) { resultDiv.innerHTML = '⚠ Number of steps must be a whole number between 1 and 50.'; return; }
let df; const hasVolumes = !isNaN(vStock) && !isNaN(vDil) && vStock > 0 && vDil > 0; const hasDf = !isNaN(dfInput) && dfInput > 1;
if (hasVolumes) { df = (vStock + vDil) / vStock; if (df ⚠ Dilution factor derived from volumes must be > 1. Check that diluent volume > 0.'; return; } } else if (hasDf) { df = dfInput; } else { resultDiv.innerHTML = '⚠ Please provide either a Dilution Factor OR both Stock and Diluent volumes.'; return; }
// --- Compute concentrations for each step --- // C_n = C0 / (df ^ n) const concentrations = []; for (let n = 0; n = 0.001 && abs ' + '' + stepLabel + '' + '1 : ' + fmt(dfCumulative) + '' + '' + fmt(concentrations[n]) + ' ' + unit + '' + ''; }
const volumeInfo = hasVolumes ? 'Volumes per step: ' + fmt(vStock) + ' µL stock + ' + fmt(vDil) + ' µL diluent → total ' + fmt(vStock + vDil) + ' µL
- '
- '';
resultDiv.innerHTML = '### ✔ Serial Dilution Results ' + 'Dilution factor per step: 1 : ' + fmt(df) + '
' + 'Total dilution factor after ' + steps + ' step(s): 1 : ' + fmt(totalDF) + '
' + 'Final concentration (Step ' + steps + '): ' + fmt(finalConc) + ' ' + unit + '
' + volumeInfo + '' + '' + 'Step' + 'Cumulative Dilution' + 'Concentration' + '' + tableRows + ''; }
#### Formulas
Concentration at step n:
Cn = C0 / DFn
Dilution factor from volumes:
DF = (Vstock + Vdiluent) / Vstock
Total dilution factor after n steps:
DFtotal = DFn
Where C0 = initial concentration, DF = dilution factor per step, n = step number.
#### Assumptions & References
- When volumes are provided, the dilution factor is computed as (Vstock + Vdiluent) / Vstock, consistent with the C₁V₁ = C₂V₂ relationship.
- Reference: Serial dilution methodology — Youden, W.J. (1951). Statistical Methods for Chemists; standard laboratory practice (e.g., CLSI EP guidelines).
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