Dye Exhaustion Rate Calculator

Dye uptake efficiency from absorbance measurements.

Initial absorbance (A₀)

Final absorbance (A_f)

Total dye added (g)

Fixation rate (%)

Fabric weight (g)

Tab to move between fields

Exhaustion rate (%)

Dye on fiber (g)18

Residual dye in bath (g)2

Overall fixation (%)76.5

Fixed dye (% OWF)1.53

How to Use This Calculator

How the result changes with Initial absorbance (A₀)

Initial absorbance (A₀): Spectrophotometer absorbance of the initial dye bath at λ_max.
Final absorbance (A_f): Absorbance of the residual dye bath after dyeing.
Total dye added (g): Total weight of dye powder added to the bath.
Fixation rate (%): Percentage of exhausted dye that is permanently fixed. Reactive dyes: 60-80%, acid dyes: 85-95%, disperse: 90-99%.
Fabric weight (g): Dry weight of fabric in grams for calculating % OWF on fiber.

Exhaustion rate (%): Percentage of dye absorbed from bath onto fiber.
Dye on fiber (g): Weight of dye taken up by the fabric.
Residual dye in bath (g): Dye remaining in the spent bath (effluent).
Overall fixation (%): Exhaustion × fixation rate — total dye permanently on fiber.
Fixed dye (% OWF): Fixed dye as a percentage on weight of fiber.

Identify Input Parameters
4 parameters
Initial absorbance (A₀) = 1.5, Final absorbance (A_f) = 0.15, Total dye added (g) = 20, Fixation rate (%) = 85 = 5 input(s) provided
Calculate Exhaustion rate
90 = 90
Calculate Dye on fiber
Dye on fiber = totalDyeAddedG * (clampedExhaustion / 100)
18 = 18
Calculate Residual dye in bath
Residual dye in bath = totalDyeAddedG - dyeOnFiberG
2 = 2