Glad to help. Is this part of the other experiment (http://groups.msn.com/ChemistryCorner/general.msnw?action=get_message&mview=1&ID_Message=3222)? To keep everything in the same message thread, go to the last message and click "Reply" when you post a follow-up and everything will stay together. As it is, your questions are tacked on the ends of unrelated old messages, making it hard to keep track! BTW to start a new question entirely, click "New Discussion" when you are viewing the the list of questions, in the "General" board for example, or when viewing a message.
OK, looks like you are looking at the relationship of the ideal solubility (not solvent-specific) in terms of the mole fraction of solute, xsat, when the solution is saturated. The formula is
ln (xsat) = (ΔHfus° / R) ( 1/T �?1/Tfus )
where ΔHfus° is the heat of fusion of the solute
R is the gas constant in joule units, 8.314 J mol�?K�?
T is the temperature in Kelvins
Tfus is the melting point of the solute in Kelvins
(a) There are two approximations in use. ΔCp can be considered to be negligible and therefore zero, or ΔCp may be approximated to be equal to the entropy of fusion, ΔSfus. The above equation results when ΔCp is assumed to be zero.
(b) Well, if the warm solution is saturated and you withdraw some in a cool pipet, some of the solute would precipitate out if the solution in the pipet cools!
(c) I think they are talking about the literature or known values of the solubilities of the solute at different temperatures. The assumptions made in (a) are in part responsible for differences between the literature solubilities and those calculated from the formula. But mainly, the formula used here is independent of solvent, and in reality there will be solute-solvent interactions that will affect the solubility in a particular solvent. Such interactions are not accounted for in the formula.
Steve