Respuesta :

The reaction between mercury (Hg) and sulfur (S) to form HgS is:

Hg + S ------------- HgS

Therefore: 1 mole of Hg reacts with 1 mole of S to form 1 mole of HgS

The given mass of Hg = 246 g

Atomic mass of Hg = 200.59 g/mol

# moles of Hg = 246 g/ 200.59 gmol-1 = 1.226 moles

Based on the reaction stoichiometry,

# moles of S that would react = 1.226 moles

Atomic mass of S = 32 g/mol

Therefore, mass of S = 1.226 moles*32 g/mole = 39.23 g

39.2 g of sulfur would be needed to react completely with 246 g of Hg to produce HgS

39.3 grams of sulfur reacted completely with 246 grams of mercury to form HgS.

FURTHER EXPLANATION

To solve this problem, first write the balanced chemical equation for the given reaction:

Hg + S → HgS

To solve the problem, we use the stoichiometric ratios of mercury and sulfur.

First, convert the mass of mercury to moles using the molar mass (200.59 g/mol).

[tex]moles \ Hg = 246 \ g \ Hg \times \frac{1 \ mol \ Hg}{200.59 \ g}\\\\moles \ Hg = 1.226 \ mol[/tex]

Now, determine the moles of sulfur formed using the stoichiometric ratio of sulfur and mercury which is 1:1

[tex]moles \ S \ = 1.226 \ mol \ Hg \times \frac{`1 \ mol \ S}{1 \ mol \ Hg} \\\\moles \ S = 1.226 \ mol[/tex]

To get the mass of sulfur that reacted with mercury to form HgS, use the molar mass of sulfur (32.06 g/mol)

[tex]mass \ of \ S = 1.226 \ mol \ S \times \frac{32.06 \ g}{1 \ mol \ S}\\\\\boxed {mass \ of \ S = 39.31 \ g}[/tex]

Since the given only has 3 significant figures, the final answer must also have the same. Therefore,

[tex]\boxed {\boxed {mass \ of \ S = 39.3 \ g}}[/tex]

Learn More

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Keywords: stoichiometry, dimensional analysis