Questions: Fe2O3(s) + CO(g) →

Fe2O3(s) + CO(g) →
Transcript text: $Fe_2O_3(s) + CO(g) \rightarrow$
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Solution

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Solution Steps

Step 1: Identify the Reactants and Products

The reaction involves iron(III) oxide (\(Fe_2O_3\)) and carbon monoxide (\(CO\)). According to the statement, the reaction will produce a metal and carbon dioxide (\(CO_2\)).

Step 2: Determine the Products

From the information given, the metal produced is iron (\(Fe\)), and the byproduct is carbon dioxide (\(CO_2\)).

Step 3: Write the Unbalanced Chemical Equation

The unbalanced chemical equation based on the reactants and products is: \[ Fe_2O_3(s) + CO(g) \rightarrow Fe(s) + CO_2(g) \]

Step 4: Balance the Chemical Equation

To balance the equation, ensure that the number of atoms of each element is the same on both sides of the equation.

  1. Iron (Fe): There are 2 iron atoms in \(Fe_2O_3\), so we need 2 \(Fe\) on the product side.
  2. Oxygen (O): There are 3 oxygen atoms in \(Fe_2O_3\) and 1 in each \(CO\), so we need 3 \(CO\) to balance the oxygen atoms, resulting in 3 \(CO_2\).
  3. Carbon (C): With 3 \(CO\) on the reactant side, we have 3 carbon atoms, which matches the 3 carbon atoms in 3 \(CO_2\).

The balanced chemical equation is: \[ Fe_2O_3(s) + 3CO(g) \rightarrow 2Fe(s) + 3CO_2(g) \]

Final Answer

The balanced chemical equation for the reaction is: \[ \boxed{Fe_2O_3(s) + 3CO(g) \rightarrow 2Fe(s) + 3CO_2(g)} \]

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