Loss on Drying Constant Weight Calculation

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Loss on Drying Constant Weight Calculation

Accurately determine moisture content and verify constant weight compliance.

Weight of the empty, dried container/crucible.
Tare weight cannot be negative.
Total weight before drying process begins.
Gross wet weight must be greater than tare weight.
Total weight after the current drying cycle.
Dry weight cannot be greater than wet weight or less than tare.
Weight from the previous drying cycle (to check constant weight).
Standard tolerance is often 0.5 mg per gram of sample or fixed 0.5 mg.
Loss on Drying (LOD)
0.00%
Sample Mass (Wet): 0.0000 g
Total Weight Loss: 0.0000 g
Total Solids (Dry Matter): 100.00%
Weight Difference (vs Prev): N/A
Enter Previous Weight to Check Constant Weight Status
Formula: ((Wet Weight – Dry Weight) / (Wet Weight – Tare Weight)) × 100
Parameter Value Unit
Tare Weightg
Initial Sample Massg
Dried Sample Massg
Moisture Content%

Sample Composition Analysis

What is loss on drying constant weight calculation?

The loss on drying constant weight calculation is a fundamental gravimetric analysis technique used in analytical chemistry, pharmaceutical manufacturing, and food science. It determines the amount of volatile matter (typically water and other solvents) released from a sample under specific thermal conditions.

Achieving "constant weight" is the critical verification step in this process. It ensures that the drying process is complete and that no further volatile matter is evaporating. Without verifying constant weight, the calculated moisture content may be inaccurate, leading to quality control failures or compliance issues with pharmacopeial standards (such as USP <731> or EP 2.2.32).

This method is essential for Quality Control (QC) managers, lab technicians, and formulation scientists who need to ensure products meet strict specifications for stability and shelf life.

Loss on Drying Formula and Mathematical Explanation

The core calculation compares the mass of the sample before and after drying. The result is expressed as a percentage of the initial wet mass.

The Core Formula

LOD % = [(Winitial – Wfinal) / (Winitial – Wtare)] × 100

Variable Explanations

Variable Meaning Unit Typical Range
Wtare Weight of the empty vessel (crucible/dish) grams (g) 10.0000 – 50.0000 g
Winitial Gross weight (Vessel + Wet Sample) grams (g) Tare + (1.0 to 5.0 g sample)
Wfinal Gross weight (Vessel + Dried Sample) grams (g) Less than Winitial
Constant Weight Limit Max allowable difference between weighings milligrams (mg) 0.5 mg (0.0005 g)

Practical Examples (Real-World Use Cases)

Example 1: Pharmaceutical Excipient Analysis

A lab technician tests a batch of Lactose Monohydrate. The pharmacopeia requires drying at 80°C to constant weight.

  • Tare Weight: 24.3005 g
  • Initial Gross Weight: 26.3055 g (Sample mass = 2.0050 g)
  • Final Gross Weight (Cycle 1): 26.2950 g
  • Final Gross Weight (Cycle 2): 26.2948 g

Result: The difference between Cycle 1 and 2 is 0.2 mg, which is within the 0.5 mg limit. The final LOD is calculated using 26.2948 g, resulting in approximately 0.53% loss.

Example 2: Food Moisture Content

A food safety officer checks the moisture content of dried milk powder to prevent bacterial growth.

  • Tare Weight: 15.0000 g
  • Initial Gross Weight: 20.0000 g (Sample = 5.0000 g)
  • Final Gross Weight: 19.8000 g

Calculation: Loss is 0.2000 g. LOD % = (0.2 / 5.0) * 100 = 4.00%. This falls within the safe range for storage.

How to Use This Loss on Drying Calculator

  1. Weigh the Empty Vessel: Enter the mass of your clean, dry crucible in the "Vessel Tare Weight" field.
  2. Add Sample and Weigh: Add your sample and weigh the assembly. Enter this in "Initial Gross Weight".
  3. Dry and Weigh: After the drying cycle, cool the vessel in a desiccator and weigh it. Enter this in "Current Gross Weight".
  4. Check Constant Weight (Optional): If you have performed multiple drying cycles, enter the weight from the previous cycle in "Previous Gross Weight". The tool will compare the difference against the "Tolerance" limit (usually 0.5 mg).
  5. Interpret Results: The tool instantly displays the LOD %, Total Solids, and pass/fail status for constant weight.

Key Factors That Affect Loss on Drying Results

Several variables can influence the accuracy of a loss on drying constant weight calculation:

  • Temperature Control: If the oven temperature is too high, the sample might degrade or scorch (oxidation), leading to artificially high weight loss results. If too low, moisture may remain trapped.
  • Drying Time: Insufficient time prevents complete evaporation. This is why "constant weight" checks are vital—they confirm time was sufficient.
  • Sample Particle Size: Large particles trap moisture inside. Grinding samples increases surface area and ensures thorough drying.
  • Hygroscopicity: Some samples reabsorb moisture from the air immediately upon cooling. Using a high-quality desiccator during the cooling phase is mandatory.
  • Volatile Impurities: LOD measures total volatile loss. If the sample contains alcohol or other solvents, they will be counted as moisture unless a specific water-selective method (like Karl Fischer) is used.
  • Crust Formation: Some samples form a hard shell on the surface during heating, trapping moisture inside. Sand is sometimes mixed in to prevent this.

Frequently Asked Questions (FAQ)

What is the difference between LOD and Moisture Content?

Technically, LOD measures all volatile matter lost (water, solvents, oils), whereas "Moisture Content" specifically refers to water. However, in many industries, the terms are used interchangeably when water is the only expected volatile component.

Why do I need to calculate constant weight?

It proves that the drying process has finished. Without it, you are guessing whether the sample is actually dry or if it would lose more weight with more time.

What is the standard tolerance for constant weight?

Common pharmacopeial standards cite a difference of less than 0.5 mg (0.0005 g) between two consecutive weighings following a drying period.

Can I use this calculator for Karl Fischer titration?

No. Karl Fischer is a chemical reaction specific to water. This calculator is for gravimetric (weight-based) loss on drying methods only.

What if my result is negative?

A negative LOD implies the sample gained weight. This usually happens if the sample was hygroscopic and absorbed moisture during cooling, or if the vessel wasn't clean. The calculator will flag this as an error.

Does atmospheric humidity affect the result?

Yes. High humidity can affect the weighing process. Always cool samples in a desiccator and weigh quickly to minimize error.

How does sample size affect accuracy?

Larger samples reduce the relative error of the balance but take longer to dry. Small samples dry faster but require a highly precise analytical balance.

What is a tare weight?

Tare weight is the weight of the empty container. It must be subtracted from the gross weight to determine the actual mass of the sample.

Related Tools and Internal Resources

© 2023 Precision Analytical Tools. All rights reserved.

Disclaimer: This tool is for educational and estimation purposes. Always validate critical analytical results according to your internal SOPs.

// Initialize standard values on load window.onload = function() { // Set default demo values document.getElementById('tareWeight').value = "20.0000"; document.getElementById('grossWetWeight').value = "25.0000"; document.getElementById('grossDryWeight').value = "24.5000"; calculateLOD(); }; function resetCalculator() { document.getElementById('tareWeight').value = ""; document.getElementById('grossWetWeight').value = ""; document.getElementById('grossDryWeight').value = ""; document.getElementById('prevDryWeight').value = ""; document.getElementById('constantLimit').value = "0.5"; // Clear results document.getElementById('res-lod-percent').innerHTML = "0.00%"; document.getElementById('res-sample-wet').innerHTML = "0.0000 g"; document.getElementById('res-weight-loss').innerHTML = "0.0000 g"; document.getElementById('res-solids-percent').innerHTML = "100.00%"; document.getElementById('res-diff-prev').innerHTML = "N/A"; // Reset styles var statusBox = document.getElementById('status-box'); statusBox.className = "status-box status-neutral"; statusBox.innerHTML = "Enter Previous Weight to Check Constant Weight Status"; // Clear errors document.getElementById('error-tare').style.display = 'none'; document.getElementById('error-wet').style.display = 'none'; document.getElementById('error-dry').style.display = 'none'; drawChart(0, 100); // Reset chart updateTable("-", "-", "-", "-"); } function calculateLOD() { // 1. Get Inputs var tare = parseFloat(document.getElementById('tareWeight').value); var wetGross = parseFloat(document.getElementById('grossWetWeight').value); var dryGross = parseFloat(document.getElementById('grossDryWeight').value); var prevDry = parseFloat(document.getElementById('prevDryWeight').value); var limitMg = parseFloat(document.getElementById('constantLimit').value); // 2. Hide Errors initially document.getElementById('error-tare').style.display = 'none'; document.getElementById('error-wet').style.display = 'none'; document.getElementById('error-dry').style.display = 'none'; // 3. Validation var hasError = false; if (tare < 0) { document.getElementById('error-tare').style.display = 'block'; hasError = true; } if (!isNaN(tare) && !isNaN(wetGross)) { if (wetGross wetGross) { document.getElementById('error-dry').innerText = "Dry weight cannot be greater than wet weight."; document.getElementById('error-dry').style.display = 'block'; hasError = true; } if (dryGross < tare) { document.getElementById('error-dry').innerText = "Dry weight cannot be less than tare weight."; document.getElementById('error-dry').style.display = 'block'; hasError = true; } } if (hasError || isNaN(tare) || isNaN(wetGross) || isNaN(dryGross)) { // If essential inputs are missing/invalid, stop but keep chart valid if possible return; } // 4. Calculations var sampleWetMass = wetGross – tare; var sampleDryMass = dryGross – tare; var weightLoss = sampleWetMass – sampleDryMass; // Prevent division by zero or negative logic issues if (sampleWetMass <= 0) return; var lodPercent = (weightLoss / sampleWetMass) * 100; var solidsPercent = 100 – lodPercent; // 5. Update UI Results document.getElementById('res-lod-percent').innerText = lodPercent.toFixed(2) + "%"; document.getElementById('res-sample-wet').innerText = sampleWetMass.toFixed(4) + " g"; document.getElementById('res-weight-loss').innerText = weightLoss.toFixed(4) + " g"; document.getElementById('res-solids-percent').innerText = solidsPercent.toFixed(2) + "%"; // 6. Constant Weight Logic var statusBox = document.getElementById('status-box'); if (!isNaN(prevDry) && !isNaN(limitMg)) { var diffG = Math.abs(dryGross – prevDry); var diffMg = diffG * 1000; document.getElementById('res-diff-prev').innerText = diffMg.toFixed(2) + " mg"; if (diffMg " + limitMg + " mg)"; } } else { document.getElementById('res-diff-prev').innerText = "N/A"; statusBox.className = "status-box status-neutral"; statusBox.innerHTML = "Enter Previous Weight to Check Constant Weight Status"; } // 7. Update Table updateTable(tare.toFixed(4), sampleWetMass.toFixed(4), sampleDryMass.toFixed(4), lodPercent.toFixed(2)); // 8. Update Chart drawChart(lodPercent, solidsPercent); } function updateTable(tare, wet, dry, lod) { var tbody = document.getElementById('result-table-body'); tbody.innerHTML = 'Tare Weight' + tare + 'g' + 'Initial Sample Mass' + wet + 'g' + 'Dried Sample Mass' + dry + 'g' + 'Moisture Content' + lod + '%'; } function drawChart(lod, solids) { var canvas = document.getElementById('lodChart'); if (!canvas.getContext) return; var ctx = canvas.getContext('2d'); var width = canvas.width; var height = canvas.height; // Clear canvas ctx.clearRect(0, 0, width, height); // Data processing for bar chart // Bar 1: Moisture (LOD) // Bar 2: Solids var maxVal = 100; // Percentages always sum to 100 approx var barWidth = 100; var spacing = 50; var startX = (width – (barWidth * 2 + spacing)) / 2; var groundY = height – 40; var maxHeight = height – 60; // Draw Axes ctx.beginPath(); ctx.moveTo(40, 20); ctx.lineTo(40, groundY); ctx.lineTo(width – 20, groundY); ctx.strokeStyle = '#333'; ctx.stroke(); // Helper to draw bar function drawBar(index, value, color, label) { if (value < 0) value = 0; var h = (value / maxVal) * maxHeight; var x = startX + index * (barWidth + spacing); var y = groundY – h; // Bar ctx.fillStyle = color; ctx.fillRect(x, y, barWidth, h); // Border ctx.strokeStyle = '#555'; ctx.strokeRect(x, y, barWidth, h); // Value Label ctx.fillStyle = '#000'; ctx.font = 'bold 14px Arial'; ctx.textAlign = 'center'; ctx.fillText(value.toFixed(1) + '%', x + barWidth/2, y – 10); // Category Label ctx.fillStyle = '#333'; ctx.font = '14px Arial'; ctx.fillText(label, x + barWidth/2, groundY + 20); } drawBar(0, lod, '#004a99', 'Moisture/Volatiles'); drawBar(1, solids, '#28a745', 'Total Solids'); } function copyResults() { var lod = document.getElementById('res-lod-percent').innerText; var solids = document.getElementById('res-solids-percent').innerText; var wet = document.getElementById('res-sample-wet').innerText; var loss = document.getElementById('res-weight-loss').innerText; var diff = document.getElementById('res-diff-prev').innerText; var status = document.getElementById('status-box').innerText; var textToCopy = "Loss on Drying Calculation Results:\n" + "——————————–\n" + "LOD (Moisture): " + lod + "\n" + "Total Solids: " + solids + "\n" + "Sample Mass (Wet): " + wet + "\n" + "Total Weight Loss: " + loss + "\n" + "Constant Weight Diff: " + diff + "\n" + "Status: " + status + "\n" + "——————————–\n" + "Generated by Precision Analytical Calculator"; var tempInput = document.createElement("textarea"); tempInput.value = textToCopy; document.body.appendChild(tempInput); tempInput.select(); document.execCommand("copy"); document.body.removeChild(tempInput); var btn = document.querySelector('.btn-copy'); var originalText = btn.innerText; btn.innerText = "Copied!"; setTimeout(function(){ btn.innerText = originalText; }, 2000); }

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