Nitric acid is reduced to nitrogen dioxide in which of the following reactions?
More than one of the above
Reduction is a chemical process where a substance gains electrons or its oxidation state decreases. In the given reactions, we are looking for instances where nitric acid (\( \text{HNO}_3 \)) is reduced to nitrogen dioxide (\( \text{NO}_2 \)). To identify this, we need to examine the oxidation state of nitrogen (N) in both compounds.
In \( \text{HNO}_3 \), the oxidation state of Hydrogen (H) is +1 and Oxygen (O) is -2. Using the rule that the sum of oxidation states in a neutral molecule is zero:
\( (+1) + \text{Oxidation State of N} + 3 \times (-2) = 0 \)
\( 1 + \text{Oxidation State of N} - 6 = 0 \)
\( \text{Oxidation State of N} = +5 \)
In \( \text{NO}_2 \), the oxidation state of Oxygen (O) is -2. Again, the sum of oxidation states is zero:
\( \text{Oxidation State of N} + 2 \times (-2) = 0 \)
\( \text{Oxidation State of N} - 4 = 0 \)
\( \text{Oxidation State of N} = +4 \)
For nitric acid to be reduced to nitrogen dioxide, the oxidation state of nitrogen must decrease from +5 in \( \text{HNO}_3 \) to +4 in \( \text{NO}_2 \). We will now check each reaction.
The first reaction is: \( \text{C} + 4\text{HNO}_3 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O} + 4\text{NO}_2 \)
Therefore, in this reaction, nitric acid is reduced to nitrogen dioxide.
The second reaction is: \( \frac{1}{8} \text{ S}_8 + 6\text{ HNO}_3 \rightarrow \text{H}_2\text{SO}_4 + 6\text{NO}_2 + 2\text{H}_2\text{O} \)
Therefore, in this reaction, nitric acid is reduced to nitrogen dioxide.
The third reaction is: \( \text{Cu} + 4\text{HNO}_3 \rightarrow \text{Cu(NO}_3\text{)}_2 + 2\text{NO}_2 + 2\text{H}_2\text{O} \)
Therefore, in this reaction, nitric acid is reduced to nitrogen dioxide.
In all three given reactions (Reaction 1, Reaction 2, and Reaction 3), nitric acid (\( \text{HNO}_3 \)) acts as an oxidizing agent and is reduced to nitrogen dioxide (\( \text{NO}_2 \)), as shown by the decrease in the oxidation state of nitrogen from +5 to +4.
Since more than one of the listed reactions shows nitric acid being reduced to nitrogen dioxide, the correct answer encompasses multiple options.
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