Respuesta :

Answer:

The empirical formula of the compound is  [tex]SO_3[/tex].

Explanation:

Suppose in 100 grams of compound there is 40% of sulfur and 60% of oxygen  by weight.

Mass of sulfur = 40% of 100 g = [tex]\frac{40}{100}\times 100=40 g[/tex]

Mass of oxygen = 60% of 100 g = [tex]\frac{60}{100}\times 100=60 g[/tex]

Moles of sulfur = [tex]\frac{40 g}{32 g/mol}=1.25 mol[/tex]

Moles of oxygen = [tex]\frac{60 g}{16 g/mol}=3.75 mol[/tex]

In order to determine its empirical formulas divide smallest number of moles by each number of moles of elements:

Sulfur = [tex]\frac{1.25 mol}{1.25 mol}=1[/tex]

Oxygen = [tex]\frac{3.75 mol}{1.25 mol}=3[/tex]

Empirical formula = [tex]S_1O_3[/tex]

The empirical formula of the compound is  [tex]SO_3[/tex].

The empirical formula of the compound is [tex]SO_3[/tex]

What is the Empirical formula?

Empirical formula is the simplest whole number ratio of atoms of each element in a compound.

Calculation:

Given, the amount of sulfur is 40%

The amount of oxygen is 60%

  • Step 1:, we calculate the mass of the elements

Mass of sulfur [tex]= \dfrac{40}{100} \times100= 40 g[/tex]

Mass of Oxygen[tex]= \dfrac{60}{100} \times100= 60 g[/tex]

  • Step 2:, we calculate moles:  mass/ atomic mass

Moles of sulfur   [tex]\dfrac{40g}{32g/mol}= 1.25\; mol[/tex]

Moles of Oxygen [tex]\dfrac{60g}{16g/mol}= 3.75\; mol[/tex]

  • Step 3:, To calculate the empirical formula, divide the mole of each element by the smallest number of mole :

Sulfur [tex]= \dfrac{1.25mol}{1.25mol} = 1[/tex]

Oxygen[tex]= \dfrac{3.75mol}{1.25mol} = 3[/tex]

Thus, the empirical formula of the compound is [tex]SO_3[/tex].

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