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Answer:
1.19 mol
Explanation:
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Taking into account the stoichiometry of the reaction and the definition of Avogadro's number, 1.185 moles of SO₂ are required to generate 1.43×10²⁴ water molecules.
The balanced reaction is:
2 H₂S + SO₂ → 3 S + 2 H₂O
By reaction stoichiometry, the following amounts of moles of each compound participate in the reaction:
- H₂S: 2 moles
- SO₂: 1 mole
- S: 3 moles
- H₂O: 2 moles
On the other side, Avogadro's Number is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.
Then you can apply the following rule of three: if 6.023×10²³ atoms are contained in 1 mole of water, then 1.43×10²⁴ atoms are contained in how many moles of water?
[tex]amount of moles of water=\frac{1.43x10^{24}moleculesx1 mole }{6.023x10^{23}molecules }[/tex]
amount of moles of water= 2.37 moles
Then you can apply the following rule of three: if by reaction stoichiometry to produce 2 moles of water it is necessary 1 mole of SO₂, to produce 2.37 moles of water how many moles of SO₂ are needed?
[tex]amount of moles of SO_{2} =\frac{2.37 moles of water x1 mole of SO_{2} }{2 moles of water}[/tex]
amount of moles of SO₂= 1.185 moles
Finally, 1.185 moles of SO₂ are required to generate 1.43×10²⁴ water molecules.
Learn more about
- Avogadro's Number:
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- Stoichiometry of the reaction
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