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The order for the solubility of isomeric alcohols in a book was given as: Primary alcohol >Secondary alcohol >Tertiary alcohol. After this I found a question: (1) Which is more soluble in water? (a) 3-ethyl-3-hexanol (b) 2-octanol. Ans: (a) The reason was that (a) has a more compact alkyl portion than (b).
The effect of temperature on the water solubility of polyvinyl alcohol, Polymer Science U.S.S.R. Volume 13, Issue 3 pp751-758, 1971, DOI: 10.1016/0032-3950(71)90042-6 C. A. Finch, Some Properties of Polyvinyl Alcohol and their Possible Applications , Chemistry and Technology of Water-Soluble Polymers pp 287-306, 1983 , DOI: 10.1007/978-1-4757 ...
The hydrogen on a alcohol (or water) is very positive and the oxygen is very negative, so they attract other polar groups around them in a fairly well ordered manner. For short chain alcohols the alcohols at the end of the chain can take the place of the oxygen and hydrogen on other water molecules and with the entropy inherent with mixing can ...
So long as we assume that this is an ideal situation in which there is really insignificant solubility of the gas in ethanol but significant solubility in water, then yes, you can assume that the concentration in the mixture is linear with the water fraction of the liquid. In other words: $${H_m = H_w * x_{w}}$$ Where:
However, at room temperature, methanol, ethanol and propanol are all completely miscible with water. At lower temperature, below the freezing point of water, there is finite solubility. See the phase diagram that is Fig. 1 in CRYSTAL GROWTH OF WATER ETHANOL MIXTURE and that in Fig. 1 of Solid-Liquid Phase Diagram of the System Methanol-Water
This difference in solubility follows the order 3°>2°>1° and can be explained by the branching concept that you have used in your question. However, If you compare alcohols with different number of carbon atoms, say butanol and methanol, then the alcohol with a smaller hydrocarbon part will be more soluble in water.
This hydrogen bonding also allows naphthol to be soluble in alcohol-based solvents and slightly soluble in water. 2-naphthol derivatives are also used in the production of azo dyes.
The solubility of an alcohol in a non-polar solvent (like hexane) increases with size of the alcohol, as the non-polar chain increases. However, as the chain keeps increasing, will the solubility
Actually, Morrison and Boyd oversimplify the solubility difference (and there is one). 1-Butanol is slightly more soluble in water than diethyl ether, perhaps because it can interact with water in more than one way, although the dipole moment of the alcohol group is certainky larger than that of the ether group as well.
The figure below from the reference illustrates the increasing solubility of carbon dioxide under pressure as we increase the ethanol content in an ethanol-water mixture. Carbon dioxide is actually non-dipolar, and while the strong quadrupole enhances its solubility in water, it still fits better with less polar solvents such as ethanol. Reference