FYKOS Year 26 Series 5 Problem 2 — molecules · FYKOS 26 #26.5.2

Physics · thermodynamics

Problem

Imagine evaporating a body of liquid with surface area SS. Assume that during this process all the liquid molecules are separated and tLat each molecule can be considered a small particle with a definite surface area. Obviously, the total surface area of all these molecules is much greater than the surface area of the original body. Given that the latent heat of vaporization of water is L=2.1⋅106J⋅  kg−1L=2.1\cdot 10^{6}J\cdot \;\mathrm{kg}^{−1} and that its surface tension is α=7.2⋅10−2N⋅  m−1α=7.2\cdot 10^{−2}N\cdot \;\mathrm{m}^{−1}, estimate the size of water molecules.

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