Respuesta :
Answer:
Empirical formula of the compound is [tex]HgSO_{4}[/tex].
Explanation:
Element molar mass (g/mol)
Hg 200.59
S 32.065
O 15.999
100 g of the compound contains 67.6 g Hg, 10.8 g of S and 21.6 g of O.
So ratio of number of moles (n) of all the constituting elements in 100 g of the compound is given as:
[tex]n_{Hg}:n_{S}:n_{O}[/tex] = [tex]\frac{67.6}{200.59}:\frac{10.8}{32.065}:\frac{21.6}{15.999}[/tex]
= 0.337 : 0.337 : 1.35
[tex]\approx[/tex] 1: 1: 4
So empirical formula of the compound is [tex]HgSO_{4}[/tex]
The empirical formula of a compound that is 67.6% mercury, 10.8% sulfur, and 21.6% oxygen is HgSO4.
HOW TO CALCULATE EMPIRICAL FORMULA:
- The empirical formula of the compound in this question can be calculated as follows:
- Hg = 67.6% = 67.76g
- S = 10.8% = 10.8g
- O = 21.6% = 21.6g
- First, we convert mass to moles by dividing each element by its molar mass.
- Hg = 67.6g ÷ 200.59g/mol = 0.34mol
- S = 10.8g ÷ 32g/mol = 0.34mol
- O = 21.6g ÷ 16g/mol = 1.35mol
- Next, we divide each mole value by the smallest value (0.34)
- Hg = 0.34mol ÷ 0.34 = 1
- S = 0.34mol ÷ 0.34 = 1
- O = 1.35mol ÷ 0.34 = 3.97
- Approximately, the empirical ratio of Hg, S and O is 1:1:4. Hence, the empirical formula of the compound is HgSO4.
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