A certain solid has a structure in which W atoms are located at the cube corners, Satoms at each center of the cube faces, and three Na ions within the cube. What would be the chemical formula of this metal?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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A certain solid has a structure in which W atoms are located at the cube corners, Satoms at each center of the cube faces, and three Na ions within the cube. What would be the chemical formula of this metal? (Show work)

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Based on the given information, we can determine the chemical formula of the metal as follows:  First, we need to determine the total number of atoms within the cube. Each corner of the cube contains one W atom, and there are eight corners, so there are a total of 8 W atoms. Each face of the cube contains one S atom, and there are six faces, so there are a total of 6 S atoms. Finally, there are three Na ions located within the cube. 

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