is the melting point determination of crude benzoic acid recyustalization is higher or lower?

Your question makes no sense grammatically. You can't use the word "is" twice.

Also, recyustalization is not a word.

What you may mean is to ask if crude benzoic acid has a higher or lower melting point than recrystallized benzoic acid. The purer benzoic acid has a higher melting point than impure benzoic acid.

To determine whether the melting point of crude benzoic acid after recrystallization is higher or lower, you would generally expect it to be higher.

Recrystallization is a purification technique that involves dissolving the impure substance (in this case, crude benzoic acid) in a suitable solvent and then allowing it to slowly cool down, which allows the formation of pure crystals with fewer impurities. During recrystallization, impurities are selectively left behind in the solution or less soluble in the solvent, while the desired compound (benzoic acid) forms purer crystals.

The melting point of a substance is a characteristic property that typically increases with increased purity. As impurities have different chemical structures and compositions, they can disrupt the regular crystal lattice formation and lower the overall melting point. By removing impurities through recrystallization, the purity of the substance increases, resulting in a higher melting point.

Therefore, in general, after recrystallization, the melting point of crude benzoic acid is expected to be higher compared to before recrystallization.