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A hypothetical AX-type ceramic with the sodium chloride (NaCl) crystal structure has a density of 2.47 g/cm³. The two species have atomic weights of 20.5 g/mol and 37.6 g/mol. What is the edge length of the unit cell of this hypothetical compound?

Answer :

Final answer:

The hypothetical compound, like Sodium Chloride (NaCl), has a face centered cubic (FCC) unit cell. The edge length of the cell can be calculated from the given data using the density equation for an FCC structure.

Explanation:

The given hypothetical compound with atomic weights of 20.5 g/mol and 37.6 g/mol, and a density of 2.47 g/cm³, follows the sodium chloride (NaCl) crystal structure. Similar to NaCl, this compound has a face centered cubic (FCC) structure, a type of crystal structure where the unit cell is in the shape of a cube and is composed in a 1:1 ratio of two different ions.

To find the edge length of the unit cell, you would need to use the formula for the density of an FCC structure, which depends on the molar mass of the compound, the density of the compound, and Avogadro’s number.

By substituting the given values into the relevant formulas, you could calculate the edge length of the hypothetical compound's unit cell. These calculations involve detailed knowledge of chemistry and mathematical skills.

Learn more about Unit Cell Calculation here:

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