Sizing Process: Calculating Wet Pick-up

This problem requires calculating the wet pick-up (%) in a textile sizing process using the given add-on (%) and paste concentration (%).

Sizing Formula

The relationship between add-on, paste concentration, and wet pick-up is defined by the following formula:

$ \text{Wet Pick-up (\%)} = \left( \frac{\text{Add-on (\%)}}{\text{Paste Concentration (\% )}} \right) \times 100 $

Given Values

• Add-on = $12.8\%$
• Paste Concentration = $16\%$

Calculation Steps

1. Substitute the values into the formula:

   $ \text{Wet Pick-up (\%)} = \left( \frac{12.8}{16} \right) \times 100 $

2. Calculate the ratio of add-on to paste concentration:

   $ \frac{12.8}{16} = 0.8 $

3. Multiply by 100 to find the percentage:

   $ \text{Wet Pick-up (\%)} = 0.8 \times 100 $

   $ \text{Wet Pick-up (\%)} = 80\% $

Result

The calculated wet pick-up (%) is 80.