S + 6 HNO3 --> H₂SO4 + 6 NO2 + 2H₂O In the above equation how many moles of H₂SO4 can be made when 46 moles of HNO3 are consumed?

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**Stoichiometry Problem: Sulfur Reaction with Nitric Acid**

Consider the following balanced chemical equation:

\[ \text{S} + 6 \text{HNO}_3 \rightarrow \text{H}_2\text{SO}_4 + 6 \text{NO}_2 + 2 \text{H}_2\text{O} \]

The problem to solve is:

**Question:** In the above equation, how many moles of \( \text{H}_2\text{SO}_4 \) can be made when 46 moles of \( \text{HNO}_3 \) are consumed?

**Solution Explanation:**

1. **Identify the Mole Ratio:**
   From the balanced chemical equation, we see that the mole ratio between \( \text{HNO}_3 \) and \( \text{H}_2\text{SO}_4 \) is 6:1. This means that for every 6 moles of \( \text{HNO}_3 \) consumed, 1 mole of \( \text{H}_2\text{SO}_4 \) is produced.

2. **Calculate the Moles of \( \text{H}_2\text{SO}_4 \):**
   We are given 46 moles of \( \text{HNO}_3 \). To find out how many moles of \( \text{H}_2\text{SO}_4 \) are produced, we use the mole ratio from the balanced equation.

\[ \frac{46 \text{ moles } \text{HNO}_3}{6} = \text{7.67 moles of } \text{H}_2\text{SO}_4 \]

Therefore, 7.67 moles of \( \text{H}_2\text{SO}_4 \) can be made when 46 moles of \( \text{HNO}_3 \) are consumed.
Transcribed Image Text:**Stoichiometry Problem: Sulfur Reaction with Nitric Acid** Consider the following balanced chemical equation: \[ \text{S} + 6 \text{HNO}_3 \rightarrow \text{H}_2\text{SO}_4 + 6 \text{NO}_2 + 2 \text{H}_2\text{O} \] The problem to solve is: **Question:** In the above equation, how many moles of \( \text{H}_2\text{SO}_4 \) can be made when 46 moles of \( \text{HNO}_3 \) are consumed? **Solution Explanation:** 1. **Identify the Mole Ratio:** From the balanced chemical equation, we see that the mole ratio between \( \text{HNO}_3 \) and \( \text{H}_2\text{SO}_4 \) is 6:1. This means that for every 6 moles of \( \text{HNO}_3 \) consumed, 1 mole of \( \text{H}_2\text{SO}_4 \) is produced. 2. **Calculate the Moles of \( \text{H}_2\text{SO}_4 \):** We are given 46 moles of \( \text{HNO}_3 \). To find out how many moles of \( \text{H}_2\text{SO}_4 \) are produced, we use the mole ratio from the balanced equation. \[ \frac{46 \text{ moles } \text{HNO}_3}{6} = \text{7.67 moles of } \text{H}_2\text{SO}_4 \] Therefore, 7.67 moles of \( \text{H}_2\text{SO}_4 \) can be made when 46 moles of \( \text{HNO}_3 \) are consumed.
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