### Calculation of Dyeing Recipe | Calculation for Dyeing Lab

Calculation for Lab Deep:

Recipe Calculation Formula :

Dye = (Shade % * Weight of the fabric in gm )/Stock solution %

Or,

Required solution = WP / C

Where ,
W = weight of fabric, yarn, or fiber
C = concentration of stock solution
CC = cubic centimeter .

For auxiliaries (chemicals) the formula is as below :

Required amount of solution (mls) = (g/l required * wt of substrate * LR ) / (10 * concentration (%) of stock soln)

For addition of auxiliaries in solids form such as salt the formula is :
Salt in g/l = (Required amount (%) * Sample weight * LR) / 1000

Conversion formula from percentage to g/l is as below :
g/l = Required amount (%) * 10 .
 Calculation of Dyeing Recipe
If alkali conc. Is given in Be. then the formula to calculate this in g/l is as follows :
Required amount of solution (mls) = (g/l required * wt of substrate * LR) / (10 * concentration (%) of stock soln )

Or ,

= (Required amount (%)* wt of substrate * LR) / (Concentration (%) of stock soln)

Or,

Required alkali soln in c.c. = ( g/l required * wt of substrate * LR) (10* conversion value from Be. to g/l of alkali )

Or ,

Required alkali soln in c.c. = (Required amount (%) * wt of substrate * LR) /  conversion value from Be. to g/l of alkali

Example : Suppose a lab deep of a fabric sample (1*1 rib) has to be formed with following dyes & chemicals :

Dyes:
1. Rema Blue RR = 1.122%
2. React Red KHW = 2.014%
3. React Yellow KHW = 1.486%
• Salt = 70%
• Soda Ash (conc.20%) = 5 g/l
• Caustic Soda (38 Be) = 1.32%
• L: R = 1:8
• Sample Wt. = 5 gm
• % Stock Soln = 1
Therefore, recipe calculation for dyes and auxiliaries in g/l will be as follows :

For dyes :
We know ,
Dye = (Shade % * Weight of the fabric in gm )/(Stock solution % )

For,
1. Rema Blue RR = (1.122*5)/1=5.61 g/l
2. React Red KHW = (2.014*5)/1= 10.07 g/l
3. React Yellow KHW = (1.486*5)/1= 7.43 g/l .

For auxiliaries :
We know ,
Salt in g/l = (Required amount (%) * Sample weight * LR) /  1000
. .   .  Required Salt = (70*5*8)/1000 = 2.8 gm .

For Soda ash(conc.20%) :
We know ,
Required amount of solution (mls) = (g/l required * wt of substrate * LR) /  (10 * concentration (%) of stock soln )
.
.   . Required amount of soda ash in C.C. = (5*5*8)/(10*20) = 1.0

For Caustic soda (38 Be.) :
We know ,
Required alkali soln in c.c. = (Required amount (%) * wt of substrate * LR )/conversion value from Be. to g/l of alkali
.
.   . Required caustic soda = (1.32*5*8)/441 = 0.12 c.c.

[since 38 °Be.NaOH= 441 gm NaOH 100% per 1lit NaOH soln]

Extra Water required :

= M:L – (required water to make soln of dyes & auxiliaries) = (5*8) – [(5.61+10.07+7.43) + (1.0+0.12) ]
= 40 – 24.112
= 15.77 (Salt is added in solid form)

Equipments of Recipe Section:
1. Microprocessor pH Meter (Hanna Instrument)
2. Digital pipette
3. Digital Weighting Meter with Glass Box (Explorer, USA)