How to Calculate Dilution Rate

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Dilution Rate Calculator

Calculate exactly how much concentrate and solvent you need.

Mixing Instructions:

How to Calculate Dilution Rate

The dilution process involves reducing the concentration of a solute in a solution, usually by mixing it with more solvent (like water). Whether you are mixing garden fertilizer, cleaning supplies, or laboratory chemicals, the math follows the standard C1V1 = C2V2 formula.

  • C1: Concentration of your starting (stock) solution.
  • V1: Volume of the stock solution you need to measure out.
  • C2: The target concentration you want to achieve.
  • V2: The total final volume of the mixture.

The Step-by-Step Formula

To find out how much concentrate you need (V1), rearrange the formula: V1 = (C2 × V2) / C1.

Once you have V1, you calculate the amount of water to add by subtracting the concentrate volume from the total volume: Water to add = V2 – V1.

Practical Example: Cleaning Solution

Imagine you have a bottle of 100% pure bleach (C1) and you want to make 1,000ml (V2) of a 10% cleaning solution (C2).

  1. V1 = (10% × 1,000ml) / 100%
  2. V1 = 100ml of bleach.
  3. Water needed = 1,000ml – 100ml = 900ml.

In this case, you mix 100ml of bleach with 900ml of water to reach exactly 1 liter of 10% solution.

Understanding Dilution Ratios

Ratios like 1:10 or 1:32 are common. A 1:10 ratio means 1 part concentrate to 10 parts solvent (11 parts total). This calculator provides the specific volume amounts to ensure your final concentration and total volume are precise.

function calculateDilution() { var c1 = parseFloat(document.getElementById("initialConcentration").value); var c2 = parseFloat(document.getElementById("finalConcentration").value); var v2 = parseFloat(document.getElementById("finalVolume").value); var resultsDiv = document.getElementById("dilutionResults"); if (isNaN(c1) || isNaN(c2) || isNaN(v2) || c1 <= 0 || c2 <= 0 || v2 c1) { alert("Desired strength cannot be higher than starting concentrate strength."); return; } // V1 = (C2 * V2) / C1 var v1 = (c2 * v2) / c1; var solvent = v2 – v1; var ratio = (solvent / v1).toFixed(1); document.getElementById("concentrateRequired").innerHTML = "Concentrate to use: " + v1.toFixed(2) + " ml"; document.getElementById("waterRequired").innerHTML = "Solvent (Water) to add: " + solvent.toFixed(2) + " ml"; document.getElementById("dilutionRatioText").innerText = "This represents a dilution ratio of approximately 1:" + ratio + " (1 part concentrate to " + ratio + " parts solvent)."; resultsDiv.style.display = "block"; }

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