Consider the following reaction in aqueous solution: 5Br (aq)+BrO3(aq)+6H*(aq) 3Br₂(aq)+3H₂O(l)semantics If the rate of disappearance of Br (aq) at a particular moment during the reaction is 0.478 M/s, what is the rate of appearance of Br₂(aq) at that moment? Your Answer: Answer units

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Chemistry

### Reaction Rate Problem in Aqueous Solution

Consider the following reaction in an aqueous solution:

\[ 5Br^-(aq) + BrO_3^-(aq) + 6H^+(aq) \rightarrow 3Br_2(aq) + 3H_2O(l) \]

If the rate of disappearance of \( Br^-(aq) \) at a particular moment during the reaction is 0.478 M/s, what is the rate of appearance of \( Br_2(aq) \) at that moment?

**Your Answer:**

\[ \boxed{\phantom{00}} \quad \text{Answer} \quad \text{units} \]

---

**Explanation:**

To solve this problem, use the stoichiometry of the balanced chemical equation. According to the equation, 5 moles of \( Br^- \) disappear to produce 3 moles of \( Br_2 \).

To find the rate of appearance of \( Br_2 \), we use the stoichiometric relationship between \( Br^- \) and \( Br_2 \):

If the rate of disappearance of \( Br^- \) is 0.478 M/s, then:

\[ \text{Rate of disappearance of } Br^- = - \frac{1}{5} \times \text{Rate of } Br_2 \]

Thus, the rate of appearance of \( Br_2 \) can be calculated using:

\[ \text{Rate of } Br_2 = - \frac{3}{5} \times 0.478 \, \text{M/s} \]

\[ = \frac{3}{5} \times 0.478 \, \text{M/s} \]

\[ = 0.2868 \, \text{M/s} \]

So, the rate of appearance of \( Br_2(aq) \) at that moment is 0.287 M/s (rounded to three significant figures).

Fill in the box with this value for the complete answer.

---

**Note:**
- The text "semantics" is erroneously highlighted in yellow within the reaction equation, which should be disregarded.
Transcribed Image Text:### Reaction Rate Problem in Aqueous Solution Consider the following reaction in an aqueous solution: \[ 5Br^-(aq) + BrO_3^-(aq) + 6H^+(aq) \rightarrow 3Br_2(aq) + 3H_2O(l) \] If the rate of disappearance of \( Br^-(aq) \) at a particular moment during the reaction is 0.478 M/s, what is the rate of appearance of \( Br_2(aq) \) at that moment? **Your Answer:** \[ \boxed{\phantom{00}} \quad \text{Answer} \quad \text{units} \] --- **Explanation:** To solve this problem, use the stoichiometry of the balanced chemical equation. According to the equation, 5 moles of \( Br^- \) disappear to produce 3 moles of \( Br_2 \). To find the rate of appearance of \( Br_2 \), we use the stoichiometric relationship between \( Br^- \) and \( Br_2 \): If the rate of disappearance of \( Br^- \) is 0.478 M/s, then: \[ \text{Rate of disappearance of } Br^- = - \frac{1}{5} \times \text{Rate of } Br_2 \] Thus, the rate of appearance of \( Br_2 \) can be calculated using: \[ \text{Rate of } Br_2 = - \frac{3}{5} \times 0.478 \, \text{M/s} \] \[ = \frac{3}{5} \times 0.478 \, \text{M/s} \] \[ = 0.2868 \, \text{M/s} \] So, the rate of appearance of \( Br_2(aq) \) at that moment is 0.287 M/s (rounded to three significant figures). Fill in the box with this value for the complete answer. --- **Note:** - The text "semantics" is erroneously highlighted in yellow within the reaction equation, which should be disregarded.
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