4. Consider the Latimer diagram shown below for Cr (acidic solution): E° = ? +0.55 +1.34 +2.10 -0.424 -0.90 Cr,0,2- Crs+ Cr+ Cr3+ Cr2+ Cr (a) Calculate the value of E° for the indicated redox couple (Cr20,2- → Cr3*). Show all work, including balanced half-reactions. (b) Indicate which Cr species, if any, are unstable to disproportionation under acidie conditions.

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**Title: Understanding Chromium Redox Chemistry in Acidic Solutions**

**Introduction to the Latimer Diagram for Chromium (Cr):**
The Latimer diagram is a useful tool in inorganic chemistry for visualizing the standard electrode potentials of different oxidation states of an element. Below is a detailed explanation of a Latimer diagram for chromium in an acidic solution:

**Latimer Diagram for Cr (Acidic Solution):**

```
Cr2O7^2-  →  Cr^5+  →  Cr^4+  →  Cr^3+  →  Cr^2+  →  Cr
   +0.55      +1.34      +2.10     -0.424    -0.90
      E° = ?
```

**Tasks:**

(a) **Calculate the Value of E°:**
   - Calculate the standard electrode potential (E°) for the redox couple Cr2O7^2- → Cr^3+.
   - Show your work, including balanced half-reactions for clarity and accuracy.

(b) **Determine Instability to Disproportionation:**
   - Identify which chromium species, if any, are unstable to disproportionation under acidic conditions.
   - Disproportionation refers to a reaction where a substance is simultaneously oxidized and reduced, forming two different products.

(c) **Identification of Most Stable Cr Species:**
   - Determine which chromium species is most stable under acidic conditions.
   - A rough Frost diagram may be employed, although it is not obligatory, to assist in visualizing the stability.

**Conclusion:**
In this exercise, you will explore the redox behavior of chromium ions in acidic solutions, calculating their electrode potentials and understanding their stability and tendencies to undergo disproportionation. This analysis is fundamental for comprehending redox chemistry in transition metals.
Transcribed Image Text:**Title: Understanding Chromium Redox Chemistry in Acidic Solutions** **Introduction to the Latimer Diagram for Chromium (Cr):** The Latimer diagram is a useful tool in inorganic chemistry for visualizing the standard electrode potentials of different oxidation states of an element. Below is a detailed explanation of a Latimer diagram for chromium in an acidic solution: **Latimer Diagram for Cr (Acidic Solution):** ``` Cr2O7^2- → Cr^5+ → Cr^4+ → Cr^3+ → Cr^2+ → Cr +0.55 +1.34 +2.10 -0.424 -0.90 E° = ? ``` **Tasks:** (a) **Calculate the Value of E°:** - Calculate the standard electrode potential (E°) for the redox couple Cr2O7^2- → Cr^3+. - Show your work, including balanced half-reactions for clarity and accuracy. (b) **Determine Instability to Disproportionation:** - Identify which chromium species, if any, are unstable to disproportionation under acidic conditions. - Disproportionation refers to a reaction where a substance is simultaneously oxidized and reduced, forming two different products. (c) **Identification of Most Stable Cr Species:** - Determine which chromium species is most stable under acidic conditions. - A rough Frost diagram may be employed, although it is not obligatory, to assist in visualizing the stability. **Conclusion:** In this exercise, you will explore the redox behavior of chromium ions in acidic solutions, calculating their electrode potentials and understanding their stability and tendencies to undergo disproportionation. This analysis is fundamental for comprehending redox chemistry in transition metals.
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