Sulfur tetrafluoride, SF4, has a mass ratio of sulfur to fluorine of 1.00 : 2.37. A second, unknown compound containing sulfur and fluorine has a sulfur to fluorine mass ratio of 1.00 : 3.55. Use the law of multiple proportions to determine the chemical formula of the unknown compound.

The law of multiple proportion states that if two elements A and B combine to form more than one compound, then the various masses of A which combine with a fixed mass of B are in simple multiple ratio.

In the compound SF₄, the mass ratio of sulfur to fluorine is 1.00 : 2.37

In the unknown compound, the mass ratio of sulfur to fluorine is 1.00 : 3.55

Since the number of sulfur atoms in the two samples are fixed;

The ratio of fluorine in the unknown sample and SF₄ = 3.55/2.37 = 3/2

Therefore, the number of fluorine atoms in the unknown sample = 4 * 3/2 = 6 atoms

The formula of the unknown compound = SF₆

andromache andromache · Answer 2 · 2022-01-21T13:37:26+01:00

The formula of the unknown compound = SF₆

The calculation is as follows:

In the compound SF₄, the mass ratio of sulfur to fluorine is 1.00 : 2.37

In the unknown compound, the mass ratio of sulfur to fluorine is 1.00 : 3.55

Since the number of sulfur atoms in the two samples are fixed;

Now

The ratio of fluorine in the unknown sample and SF₄ = [tex]3.55\div 2.37 = 3\div 2[/tex]

So, the number of fluorine atoms in the unknown sample should be

= [tex]4 \times 3\div 2 [/tex]

= 6 atoms

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