Questions: SiO2(s) + C(s) → Si(s) + CO(g)

SiO2(s) + C(s) → Si(s) + CO(g)
Transcript text: \[ \mathrm{SiO}_{2}(\mathrm{~s})+\mathrm{C}(\mathrm{s}) \rightarrow \mathrm{Si}(\mathrm{s}) + \mathrm{CO}(\mathrm{g}) \]
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Solution

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Solution Steps

Step 1: Identify Reactants and Products

The reactants are solid silicon dioxide (\(\mathrm{SiO}_2\)) and solid carbon (\(\mathrm{C}\)). The products are solid silicon (\(\mathrm{Si}\)) and carbon monoxide gas (\(\mathrm{CO}\)).

Step 2: Write the Unbalanced Equation

Write the chemical equation with the identified reactants and products: \[ \mathrm{SiO}_{2}(\mathrm{~s}) + \mathrm{C}(\mathrm{s}) \rightarrow \mathrm{Si}(\mathrm{s}) + \mathrm{CO}(\mathrm{g}) \]

Step 3: Balance the Equation

Balance the equation by ensuring the number of atoms of each element is the same on both sides.

  • Silicon (Si): 1 atom on both sides.
  • Oxygen (O): 2 atoms on the left, 1 atom on the right.
  • Carbon (C): 1 atom on the left, 1 atom on the right.

To balance the oxygen atoms, we need 2 carbon monoxide molecules on the right side: \[ \mathrm{SiO}_{2}(\mathrm{~s}) + \mathrm{2C}(\mathrm{s}) \rightarrow \mathrm{Si}(\mathrm{s}) + 2\mathrm{CO}(\mathrm{g}) \]

Now, check the balance:

  • Silicon (Si): 1 atom on both sides.
  • Oxygen (O): 2 atoms on both sides.
  • Carbon (C): 2 atoms on both sides.

Final Answer

\[ \boxed{\mathrm{SiO}_{2}(\mathrm{~s}) + 2\mathrm{C}(\mathrm{s}) \rightarrow \mathrm{Si}(\mathrm{s}) + 2\mathrm{CO}(\mathrm{g})} \]

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