Quantitative Formula
Mathematical models calculate the precise composition percentages of fabric samples containing three distinct fiber types. The execution of a ternary blend calculation combines the results of multiple chemical solvent extractions to determine the relative weight of each fiber. This calculation is used for complex garments that use three-way blend fabrics.
Multi-Step Extraction
Technicians perform two separate chemical dissolutions on two identical samples of the ternary blend. The first step dissolves one fiber, while the second step dissolves a different fiber, leaving the third fiber intact. The weight of each residue is measured and corrected using standard solubility factors.
These corrected weights are then used in algebraic formulas to find the percentages of all three fibers in the starting mixture. The final calculations must add up to one hundred percent to confirm the validity of the test run.
Regain Adjustments
Calculations must factor in the commercial moisture regain of each fiber type to ensure that the results represent trade-accepted dry weights. Synthetic and natural fibers absorb varying amounts of water from the air, which can distort raw mass numbers. Correction formulas are used to adjust the dry weights of the fibers.
Label Verification
Correct calculations are necessary to comply with textile labeling regulations in major retail markets. Miscalculating any of the three fibers can lead to incorrect composition labels and shipping rejections. Mills use these calculations to verify their blend consistency before shipping garments.