We’re being asked to show that the results on the mass of the decomposition of sulfur hexafluoride and sulfur tetrafluoride are consistent with the law of multiple proportions.
According to the Law of Multiple Proportions, when two elements (A & B) form different compounds, the masses of element B that combine with 1 g of A are a ratio of whole numbers.
Sulfur and fluorine form several different compounds including sulfur hexafluoride and sulfur tetrafluoride. Decomposition of a sample of sulfur hexafluoride produced 4.46 g of fluorine and 1.25 g of sulfur, while decomposition of a sample of sulfur tetrafluoride produced 4.44 g of fluorine and 1.87 g of sulfur.
Show that these results are consistent with the law of multiple proportions.
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