# GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/82

A cotton fabric (110 GSM, 1 m wide) is to be dyed by pad-dry-bake sequence (wet expression 100%) on a machine running at 50 m/min. The volume of the padding liquor (V ; l) is kept constant by continuous replenishing

###### Question 82 (Textile Engineering & Fibre Science)

If the dye is being picked at a rate 1.2 times the rate when there is no tailing effect, the concentration (g/l) of dye bath at equilibrium would be approximately (assume that the concentration of replenishing liquor is the same as that of the initial concentration (Co; g/l) of the dye bath)

Option B is correct.

Dye is being picked at a rate 1.2 times the rate when there is no tailing effect.

The concentration (g/l) of dye bath at equilibrium=?

Pick-up or initial concentration=1.2 x Feed-up concentration(concentration (g/l) of dye bath at equilibrium)

Feed-up concentration(concentration (g/l) of dye bath at equilibrium)=Pick-up or initial concentration/1.2

Feed-up concentration(concentration (g/l) of dye bath at equilibrium)=0.83 x Pick-up or initial concentration
=0.83 Co (Ans)