Empirical Formula Calculator

Empirical Formula Calculator

Enter the mass or percentage composition and atomic weight for each element in the compound.

Result:


Understanding the Empirical Formula

The empirical formula of a chemical compound is the simplest whole-number ratio of atoms of each element present in the compound. Unlike the molecular formula, which tells you the exact number of atoms (like C6H12O6 for glucose), the empirical formula provides the most reduced form (CH2O).

How to Calculate It Manually

  1. Obtain the Mass: Start with the mass (in grams) of each element. If you are given percentages, assume a 100-gram sample so that the percentage becomes the mass (e.g., 40% becomes 40g).
  2. Convert to Moles: Divide the mass of each element by its atomic molar mass (found on the periodic table).
    moles = mass / atomic mass
  3. Find the Mole Ratio: Divide all the mole values by the smallest mole value calculated in the previous step.
  4. Convert to Whole Numbers: If the results are not whole numbers (e.g., 1.5 or 1.33), multiply all ratios by the same small integer (2, 3, 4, etc.) to achieve the simplest whole-number ratio.

Realistic Example: Ascorbic Acid (Vitamin C)

A sample of Vitamin C contains 40.92% Carbon (C), 4.58% Hydrogen (H), and 54.50% Oxygen (O).

  • Moles of C: 40.92 / 12.01 = 3.407
  • Moles of H: 4.58 / 1.008 = 4.544
  • Moles of O: 54.50 / 16.00 = 3.406

Dividing by the smallest (3.406):

  • C: 3.407 / 3.406 ≈ 1
  • H: 4.544 / 3.406 ≈ 1.33
  • O: 3.406 / 3.406 = 1

To get whole numbers, multiply by 3: C3H4O3. This is the empirical formula.

function calculateEmpiricalFormula() { var symbols = []; var masses = []; var weights = []; var moles = []; var stepsHtml = "Calculation Steps:"; for (var i = 1; i 0) { symbols.push(s); masses.push(m); weights.push(w); } } if (symbols.length < 2) { alert("Please enter data for at least two elements."); return; } // Step 1: Moles var minMoles = Infinity; for (var j = 0; j < symbols.length; j++) { var moleVal = masses[j] / weights[j]; moles.push(moleVal); if (moleVal < minMoles) minMoles = moleVal; stepsHtml += symbols[j] + ": " + masses[j] + " / " + weights[j] + " = " + moleVal.toFixed(4) + " moles"; } // Step 2: Ratios var ratios = []; stepsHtml += "Dividing by smallest value (" + minMoles.toFixed(4) + "):"; for (var k = 0; k < moles.length; k++) { var r = moles[k] / minMoles; ratios.push(r); stepsHtml += symbols[k] + ": " + r.toFixed(4) + ""; } // Step 3: Find Multiplier for Whole Numbers var multiplier = 1; var found = false; for (var m = 1; m <= 10; m++) { var allWhole = true; for (var n = 0; n < ratios.length; n++) { var val = ratios[n] * m; var decimal = val % 1; // Check if close to whole number (within 0.1) if (!(decimal 0.9)) { allWhole = false; break; } } if (allWhole) { multiplier = m; found = true; break; } } // Build Formula var finalFormula = ""; for (var p = 0; p 1 ? "" + count + "" : ""); } if (multiplier > 1) { stepsHtml += "Multiplied all ratios by " + multiplier + " to get whole numbers."; } document.getElementById("formula-display").innerHTML = finalFormula; document.getElementById("math-steps").innerHTML = stepsHtml; document.getElementById("result-box").style.display = "block"; } function resetCalculator() { for (var i = 1; i <= 3; i++) { document.getElementById("symbol" + i).value = ""; document.getElementById("mass" + i).value = ""; document.getElementById("weight" + i).value = ""; } document.getElementById("result-box").style.display = "none"; }

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