To find the mass of water to be evaporated, we begin by understanding the relationship between the size paste concentration, target add-on, and the dry mass of the warp sheet. Given:
Step 1: Calculate the mass of size added (msize) using the add-on percentage:
msize = mdry × (add-on / 100) = 100 kg × 0.10 = 10 kg
Step 2: Determine the total paste mass (mpaste) knowing the size paste is 20% concentration. Hence, the size itself is 20% of mpaste. Therefore:
mpaste = msize / (0.20) = 10 kg / 0.20 = 50 kg
Step 3: Find the mass of water in the paste (mwater) as the difference between the total paste mass and the mass of size added:
mwater = mpaste - msize = 50 kg - 10 kg = 40 kg
Conclusion: The mass of water to be evaporated from the warp sheet is 40 kg. This value fits within the provided range of (39.9, 40.1).