The diffusivity of allyl alcohol (left(mathrm{C}_{3} mathrm{H}_{6} mathrm{O} ight)) in a very dilute aqueous solution at (288

The diffusivity of allyl alcohol \(\left(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}\right)\) in a very dilute aqueous solution at \(288 \mathrm{~K}\) is \(0.9 \times 10^{-5} \mathrm{~cm}^{2} / \mathrm{s}\) (Reid et al., 1987). Based on this result, and the Hayduk and Minhas correlation for aqueous solutions, estimate the molar volume of allyl alcohol at its normal boiling point. Compare to the result obtained using Table 1.2. The viscosity of water at \(288 \mathrm{~K}\) is \(1.15 \mathrm{cP}\).

Data From Table 1.2:-    

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Table 1.2 Atomic Volume Contributions of the Elements Element Volume (cm/gmol) Element Volume (cm/gmol) Bromine 27.0 Oxygen, except as Carbon 14.8 noted below 7.4 Chlorine 24.6 Oxygen, in methyl Hydrogen 3.7 esters 9.1 Iodine 37.0 Oxygen, in methyl Nitrogen Nitrogen, in 15.6 ethers 9.9 Oxygen, in higher primary amines Nitrogen, in secondary amines 10.5 ethers and other esters 11.0 Oxygen, in acids 12.0 12.0 Sulfur 25.6 For three-membered ring, such as ethylene oxide, subtract 6.0 For pyridine, subtract For benzene ring, subtract For four-membered ring, such as cyclobutane, subtract For five-membered ring, such as furan, subtract For naphthalene ring, subtract 8.5 11.5 15.0 15.0 30.0 47.5 For anthracene ring, subtract Source: Data from Welty et al. (1984).