Question 41 (Textile Engineering & Fibre Science)
The Nernst isotherm represents a partition of the dye between fibre and dye solution such that the value of ![\frac{[D]_f}{[D]_s}](https://www.textiletriangle.com/wp-content/ql-cache/quicklatex.com-02c720805dcfe66243cedd5dcc3d823f_l3.png "Rendered by QuickLaTeX.com")
| (A) | Increase with increase in concentration of dye in solution |
| (B) | Decreases with increase in concentration of dye in solution |
| (C) | Does not change with increase in concentration of dye in solution |
| (D) | Increase initially with increase in dye concentration and then decrease |
[Show Answer]
Isotherm
Diffusion coefficient-
Here, value of 
, does not change with increase in concentration of dye in solution, option C is correct.
Frequently Asked Questions | FAQs
What is the purpose of isotherm?
Isotherms are used in textile dyeing to study the adsorption behavior of dyes onto textile fibers. An isotherm is a graphical representation of the equilibrium relationship between the amount of dye adsorbed onto the fiber and the concentration of dye in the dye bath at a constant temperature.
The purpose of using isotherms in textile dyeing is to determine the optimal dyeing conditions for achieving the desired color depth, uniformity, and fastness properties of the dyed fabric. By studying the adsorption behavior of dyes onto textile fibers, it is possible to determine the maximum amount of dye that can be adsorbed onto the fiber under specific conditions.
Isotherms can be used to predict the dye uptake of a particular fiber for a given dye concentration and temperature. This information can be used to optimize the dyeing process and to ensure that the fabric is dyed consistently and uniformly. Isotherms can also be used to compare the adsorption behavior of different dyes onto different fibers, which can help to identify the most suitable dye-fiber combination for a particular application.
Overall, the purpose of isotherms in textile dyeing is to provide a quantitative understanding of the adsorption behavior of dyes onto textile fibers, which can be used to optimize the dyeing process and improve the quality and performance of the dyed fabric.