Narceine is a narcotic in opium that crystallizes from solution as a hydrate that contains 10.8 mass % water and has a molar mass of 499.52 g/mol. Determine x in narceine . xH₂O.

In chemistry, water molecules found inside crystals are referred to as "water of crystallization" or "water of hydration." When crystals are formed from aqueous solutions, water is frequently included.
The entire mass of water in a substance at a specific temperature is sometimes referred to as water of hydration, and it is typically present in a stoichiometric ratio.
The term "water of crystallization" has historically been used to describe water that is not physically linked to the metal cation but is present in the crystalline structure of a metal complex or salt.
Many chemicals include water molecules in their crystalline structures when they crystallize from water or solvents that contain water. Heating a sample usually removes the water of crystallization, but the crystalline qualities are frequently lost.

Given that hydrate is 10.8% by mass

molar mass = 499.52 g/mol

calculating the amount of water

mass of water = [tex]\dfrac{10.8 \times 499.5}{100}[/tex]

mass of water = 53.95 g

moles of water = [tex]\dfrac{mass}{molar mass}[/tex]

moles of water = [tex]\dfrac{53.95}{18}[/tex] = 3

then the water of hydration x in narceine. xH₂O is 3

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