Questions: Write a balanced chemical equation for the reaction of gaseous nitrogen dioxide with hydrogen gas to form gaseous ammonia and liquid water. Express your answer as a chemical equation. Identify all of the phases in your answer.

Write a balanced chemical equation for the reaction of gaseous nitrogen dioxide with hydrogen gas to form gaseous ammonia and liquid water. Express your answer as a chemical equation. Identify all of the phases in your answer.
Transcript text: Write a balanced chemical equation for the reaction of gaseous nitrogen dioxide with hydrogen gas to form gaseous ammonia and liquid water. Express your answer as a chemical equation. Identify all of the phases in your answer.
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Solution

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Solution Steps

Step 1: Identify the Reactants and Products

The reactants in this chemical reaction are nitrogen dioxide (\(\text{NO}_2\)) and hydrogen gas (\(\text{H}_2\)). The products are ammonia (\(\text{NH}_3\)) and water (\(\text{H}_2\text{O}\)).

Step 2: Write the Unbalanced Chemical Equation

Write the chemical equation with the reactants and products, including their phases: \[ \text{NO}_2(g) + \text{H}_2(g) \rightarrow \text{NH}_3(g) + \text{H}_2\text{O}(l) \]

Step 3: 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. Nitrogen (N): There is 1 nitrogen atom in \(\text{NO}_2\) and 1 in \(\text{NH}_3\). To balance, we need 2 \(\text{NO}_2\) molecules to provide 2 nitrogen atoms for 2 \(\text{NH}_3\) molecules.
  2. Hydrogen (H): There are 2 hydrogen atoms in \(\text{H}_2\) and 3 in \(\text{NH}_3\). To balance, we need 3 \(\text{H}_2\) molecules to provide 6 hydrogen atoms for 2 \(\text{NH}_3\) and 3 \(\text{H}_2\text{O}\) molecules.
  3. Oxygen (O): There are 2 oxygen atoms in \(\text{NO}_2\) and 1 in \(\text{H}_2\text{O}\). To balance, we need 3 \(\text{H}_2\text{O}\) molecules to use up the 3 oxygen atoms from 2 \(\text{NO}_2\) molecules.

The balanced equation is: \[ 2\text{NO}_2(g) + 7\text{H}_2(g) \rightarrow 2\text{NH}_3(g) + 4\text{H}_2\text{O}(l) \]

Final Answer

The balanced chemical equation for the reaction is: \[ \boxed{2\text{NO}_2(g) + 7\text{H}_2(g) \rightarrow 2\text{NH}_3(g) + 4\text{H}_2\text{O}(l)} \]

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