Calculating with Simple Mixtures - B

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Background

Chemical compounds are mixtures, albeit very special mixtures. The mastery of basic chemistry, therefore, requires a basic working ability with simple mixture arithmetic. Textbook Discussion: Section 3.12, page 69. See Also: Example III, page 70 and P.O. 3.4, page 72.

Problem

Qualitative analysis indicates that a chemical compound contains only the elements arsenic and fluorine. A quantitative analysis indicates that this compound is 44.1 percent arsenic by mass. In theory, all of the arsenic in a give sample of this compound could be isolated by appropriate chemical transformations. If these chemical transformations are carried out perfectly, what mass of the compound in grams would be required for the isolation of 86.2 grams of arsenic?