Answer Entropy: How Does Water Absorption by Paper Towels Work?

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In summary: None of these are really applicable to our question. Absorption of water by a towel does not seem to change the entropy of the water itself, but rather the entropy of the water and the towel.
  • #1
espen180
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I remember reading a thread here on PF about how paper towels can absorb water. I think the answer was that the towel releases potential energy stored in the towel and lifts the water to a higher potential energy.

Let's examine the situation before and after the absorption.

Before, the water has a lot of freedom of movement and shape. After, it is held in place by the towel, severely decreasing it's freedom of movement. The towel itself does not change during the process (except for the areas where water is stored).

It seems to me that the entropy has decreased during this process. But that can't be, so I must be missing something. Is heat released during the absorption? Am I not concidering the complete system?

Any help will be appreciated.
 
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  • #2
Interesting question... capillary rise is irreversible, so the entropy should increase. It's related to the more general problem of 'wetting'. I never thought of this before, tho. Not sure this problem has been treated before, either.
 
  • #3
It's no problem if the entropy of the water decreases, as long as the Gibbs free energy of the water + paper towel decreases (assuming the system is at constant temperature and pressure). Presumably the surface energy of the paper towel material is lower when it's in contact with water, though I don't know the details. This reduction in energy would correspond with some amount of heat emission, as espen180 suggested.
 
  • #4
I don't think it's as simple as that. As I mentioned, capillary rise is a specific phenomenon of wetting, and wetting is poorly understood. Here's three examples:

1) Percolation. The main application is flow through a porous medium, but what's interesting (here) is when gravity is removed. Then, there is no stable state, and the instability is driven purely by geometry. There is a large number (possibly an infinite number) of equivalent states, corresponding to constant surface area while varying the particular voids that are filled. How does the entropy vary, and does this imply that even for viscous fluids partially filling a porous medium, the flow is reversible (isoentropic)?

2) Moving contact line. The microscopic details are not known, and indeed in the continuum model, the stress is infinite at the moving three-phase line. The no-slip boundary condition would seem to imply something about the local entropy, since the condition means we have a perfect understanding of the positions and velocities of the fluid atoms adjacent to a solid surface, but clearly contact lines do move with a finite energy (and isothermal conditions). Moving contact lines are generally not reversible (the contact angle undergoes hysteresis), but then a single moving drop is constantly producing entropy- even under isothermal conditions. How is the entropy manifested?

3) Coarsening. Binary mixtures undergo several dynamic processes (spinoidal decomposition/dewetting), coarsening/Ostwald ripening, etc. These are usually thought of in terms of the Gibbs free energy and occur at constant temperature and pressure. Are these isoentropic processes? It would seen not to be since they are irreversible, but again, how is the entropy manifested?
 

1. How does the absorbency of paper towels compare to other materials?

Paper towels are highly absorbent due to their unique composition of short fibers and small air pockets that create capillary action, allowing them to quickly and efficiently absorb water. This makes them more effective than materials like cloth or tissue paper.

2. What factors affect the water absorption capacity of paper towels?

The absorbency of paper towels is influenced by various factors such as the type of pulp used, the density and size of the fibers, and the presence of additives like polymers or chemicals. The manufacturing process also plays a role in determining the absorbency level.

3. How does the surface area of a paper towel affect its absorbency?

The surface area of a paper towel is directly proportional to its absorbency. A larger surface area means more fibers and air pockets, which increases the capillary action and allows for greater water absorption.

4. Can paper towels be reused after absorbing water?

While paper towels can be wrung out and reused to some extent, their absorbency decreases with each use. This is because the fibers become compressed and the air pockets diminish, reducing their ability to hold water. Additionally, bacteria may grow on the damp paper towel, making it less hygienic to reuse.

5. How does the thickness of a paper towel affect its absorbency?

The thickness of a paper towel is directly related to its absorbency. Thicker paper towels have more layers of fibers and air pockets, making them more absorbent than thinner ones. However, this also means that thicker paper towels may be less flexible and may not conform to surfaces as well as thinner ones.

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