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How to Calculate Total Solids?

Published in Analytical Chemistry 6 mins read

To calculate total solids, you determine the mass of all solid matter remaining in a sample after it has been completely dried, typically expressed as a percentage of the original sample mass.

Total solids (TS) represent the total amount of material left in a sample after the water has been evaporated. This includes both suspended and dissolved solids. Measuring total solids is a fundamental analytical technique across various industries, providing critical insights into product quality, environmental compliance, and process efficiency.

Understanding the Total Solids Calculation

The calculation of total solids involves a straightforward gravimetric method where a known mass of a sample is dried, and the remaining solid mass is then measured. The core principle relies on the complete removal of moisture.

The Formula for Total Solids

The total solids content of a sample is calculated using the following formula:

Total Solids (%) = [(Mass of Dried Solids) / (Original Mass of Wet Sample)] × 100

Where:

  • Mass of Dried Solids: The weight of the solid residue left after drying the sample.
  • Original Mass of Wet Sample: The initial weight of the sample before drying.

This formula yields the total solids as a percentage. If you need it as a simple ratio (e.g., g/g or mg/g), simply omit the multiplication by 100.

Step-by-Step Procedure for Determining Total Solids

Accurate determination of total solids requires careful execution of each step. Here's a detailed procedure:

  1. Prepare the Drying Dish/Crucible:

    • Obtain a clean, dry, heat-resistant dish or crucible (e.g., made of porcelain or silica).
    • Place the empty dish in an oven at 103°C for at least one hour to ensure all moisture is removed.
    • Cool the dish in a desiccator to room temperature to prevent reabsorption of moisture from the air.
    • Weigh the cooled, empty dish accurately to the nearest 0.1 mg and record its mass (W1).
  2. Prepare the Sample:

    • Thoroughly mix the sample to ensure homogeneity.
    • Transfer a representative, well-mixed aliquot of the sample into the pre-weighed dish. The amount of sample depends on its expected solids content, but typically 10-50 mL for liquid samples or a few grams for solid/semi-solid samples.
    • Weigh the dish immediately with the wet sample and record its mass (W2). The difference between W2 and W1 gives the original mass of the wet sample.
  3. Drying the Sample:

    • Place the dish containing the wet sample into a preheated oven maintained at 103°C.
    • Allow the sample to dry for 24 hours. This ensures all volatile components and moisture are completely evaporated. For some samples, shorter drying times (e.g., 2-4 hours) may be sufficient once constant weight is achieved, but a 24-hour period is a robust standard for complete drying.
    • Self-Correction/Note: If the sample contains a high concentration of fats, oils, or waxes, these might not fully evaporate and will contribute to the 'solids' measurement.
  4. Cooling and Final Weighing:

    • After the drying period, carefully remove the dish from the oven using tongs.
    • Immediately transfer the hot dish to a desiccator. The desiccator prevents the dried sample from absorbing moisture from the atmosphere as it cools.
    • Allow the dish to cool to room temperature in the desiccator.
    • Weigh the cooled dish with the dried solid residue and record its mass (W3).
  5. Calculate Total Solids:

    • Mass of Original Wet Sample (g) = W2 - W1
    • Mass of Dried Solids (g) = W3 - W1
    • Total Solids (%) = [ (W3 - W1) / (W2 - W1) ] × 100

Example Calculation

Let's walk through an example to illustrate the process:

Scenario: You are analyzing a wastewater sample for its total solids content.

  • W1 (Mass of empty, dry dish) = 50.1234 g
  • W2 (Mass of dish + wet sample) = 75.3456 g
  • W3 (Mass of dish + dried solids) = 50.8765 g

Calculations:

  1. Mass of Original Wet Sample:
    75.3456 g - 50.1234 g = 25.2222 g

  2. Mass of Dried Solids:
    50.8765 g - 50.1234 g = 0.7531 g

  3. Total Solids (%):
    (0.7531 g / 25.2222 g) × 100 = 2.986%

Therefore, the total solids content of the wastewater sample is approximately 2.986%.

Importance and Applications of Total Solids Measurement

Measuring total solids is crucial for various applications:

  • Environmental Monitoring: Essential for assessing the quality of wastewater, sludge, and natural waters. High total solids can indicate pollution or inefficient treatment processes. Regulators often set limits on total solids discharge.
  • Food and Beverage Industry: Used for quality control, consistency, and nutritional labeling of products like juices, sauces, milk, and concentrated foods. It impacts shelf life and texture.
  • Agriculture: Helps evaluate the nutrient content and quality of animal feeds, fertilizers, and soil amendments.
  • Manufacturing: Important in processes involving slurries, paints, chemicals, and pharmaceuticals to ensure product consistency and process control.
  • Research and Development: A foundational measurement in material science, biochemistry, and environmental science studies.

Factors Affecting Accuracy

Several factors can influence the accuracy of total solids measurements:

  • Sample Homogeneity: Inconsistent samples can lead to unrepresentative results. Thorough mixing is vital.
  • Drying Temperature and Time: Deviation from the standard 103°C and 24-hour drying time can result in incomplete drying (underestimation of solids) or decomposition of organic matter (overestimation or underestimation, depending on volatile organic content).
  • Weighing Precision: Accurate analytical balances are essential.
  • Desiccator Use: Proper cooling in a desiccator prevents moisture reabsorption, which would lead to an overestimation of solids.
  • Crucible/Dish Material: Ensure dishes are inert and won't react with the sample or degrade at high temperatures.

Differentiating Total Solids from Related Concepts

It's helpful to understand how total solids relate to other common water quality parameters:

Parameter Definition Measurement Method Significance
Total Solids (TS) All matter remaining after evaporation and drying at a specified temperature (e.g., 103°C). Gravimetric, after oven drying. Overall concentration of both suspended and dissolved materials; used in wastewater, food, and industrial processes.
Total Suspended Solids (TSS) Solid particles retained by a filter after filtration. Gravimetric, after filtration and drying. Indication of particulate matter in water/wastewater; crucial for environmental regulations and treatment plant efficiency.
Total Dissolved Solids (TDS) Matter that passes through a filter and remains after evaporation. Gravimetric, after filtration and drying the filtrate, or estimated via conductivity. Indication of dissolved salts, minerals, and organic compounds; impacts water taste, hardness, and suitability for various uses.

Relationship: Total Solids (TS) = Total Suspended Solids (TSS) + Total Dissolved Solids (TDS)

Tips for Optimal Results

  • Calibrate Equipment: Regularly calibrate your analytical balance and oven thermometer to ensure accuracy.
  • Control Environment: Perform weighings in a stable environment, away from drafts or vibrations.
  • Handle with Care: Use clean tongs to handle dishes to avoid transferring oils or moisture from hands.
  • Replicate Measurements: Perform duplicate or triplicate analyses to ensure reproducibility and confidence in your results.
  • Record Everything: Maintain detailed records of all masses, temperatures, and times.

Understanding and accurately calculating total solids is a foundational skill for quality assurance and process control in countless applications. By adhering to standardized methods and meticulous laboratory practices, reliable results can be achieved.