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My teacher frequently gives us questions where we have to arrange the given binary compounds on basis of their melting points or solubilities. He did give us some instructions in order to judge this order. But they don't seem to work for any questions. I asked a senior student as to how to tackle this problem, and he simply said inorganic predictions are tough to make, wo just stick to the data and make appropriate relations between the given compounds. But the problem is we don't get data in tests and have to judge the compounds solely on the basis of logic. But I have no clue as to how to figure out this logic. So is it really true that all the orders are simply unpredictable without their actual data? Is every order just not following the standard rules to figure out these orders? It would really help if someone is able to guide me how to approach such questions without knowing the related data and maybe even share some appropriate further readings. I tried looking on Wikipedia and google, but everywhere I go, they quote the experimental data. I even tried looking at some answers here on stackexchange, but the people in comments tend to confuse me even more.(some have even written the obvious answer-"stick to experimental data").

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Don't worry too much about it, this educational exercise will be over when the exam is over. In real life nobody can predict the melting point or solubility in water just by looking at the structure of a given molecule. There are software like ACD, ChemDraw and SciFinder database which have predicted melting points and boiling points of most known compounds but those values are often off. Sometimes the values are correct. This is why only the experimental values of are considered reliable. Maybe in future, our understanding will become so much better that melting/boiling points and solubilities in water would be accurately predictable.

All your teacher wants is to remember some general trends and periodic properties, which should be in your mind (in other words memorize, just like 2+2 is always 4). Take the example of halogens (diatomic molecules). As you move down the group the melting point increases. Fluorine has the lowest melting point and iodine has the highest.

In the alkali metals, the melting point decreases down the group. All you have to keep in mind the melting point trends down in the groups as well as across the periodic table for simple molecules. Similarly, look for the trends in alkali halides, hydrogen halides, other hydrides of the oxygen group.

Read this article on Is there a trend in melting points on the periodic table? https://antoine.frostburg.edu/chem/senese/101/periodic/faq/melting-point-trend.shtml

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