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Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Title: Isomer Possibilities for Coordination Complexes**

**Problem Statement:**
How many isomers are possible for the species \([Co(en)_2(Cl)_2]^+\), \(Cr(NH_3)_3(OH)_3\), and tetrahedral \([ZnCl_2Br_2]^{2-}\) respectively? *(1 isomer means there is only one version of this molecule)*

**Options:**
A. 2, 2, 2  
B. 3, 2, 1  
C. 3, 4, 2  
D. 2, 4, 1

**Explanation:**

The question is asking about the number of isomers possible for three different coordination complexes. An isomer refers to a molecule with the same chemical formula but different structural forms. Understanding the different types of isomers, such as structural isomers, geometrical isomers, and optical isomers, is essential in determining the number of isomers for each complex.

### Coordination Complexes and Their Isomers:

1. **\[Co(en)_2(Cl)_2]^+\**:
   - Here, \(en\) stands for ethylenediamine, a bidentate ligand, and \(Co\) is the central metal ion.
   - The complex can exhibit geometrical isomerism because there are different possible arrangements of the ligands around the metal ion.
   - It can form cis and trans isomers, indicating 2 possible isomers.

2. **\(Cr(NH_3)_3(OH)_3\)**:
   - This complex consists of three ammonia (NH3) ligands and three hydroxide (OH) ligands arranged around a chromium (Cr) ion.
   - Considering different spatial arrangements, the complex can display geometric isomerism with facial (fac) and meridional (mer) isomers, hence 2 isomers.
   - Since there are chiral centers, optical isomerism is also possible.
   - It can have a total of 4 isomers: 2 geometrical (fac and mer) and 2 optical (for fac, assuming enantiomers).

3. **\[ZnCl_2Br_2]^{2-}\**: 
   - This tetrahedral complex involves zinc (Zn) surrounded by two chloride (Cl) ions and two bromide (Br) ions.
Transcribed Image Text:**Title: Isomer Possibilities for Coordination Complexes** **Problem Statement:** How many isomers are possible for the species \([Co(en)_2(Cl)_2]^+\), \(Cr(NH_3)_3(OH)_3\), and tetrahedral \([ZnCl_2Br_2]^{2-}\) respectively? *(1 isomer means there is only one version of this molecule)* **Options:** A. 2, 2, 2 B. 3, 2, 1 C. 3, 4, 2 D. 2, 4, 1 **Explanation:** The question is asking about the number of isomers possible for three different coordination complexes. An isomer refers to a molecule with the same chemical formula but different structural forms. Understanding the different types of isomers, such as structural isomers, geometrical isomers, and optical isomers, is essential in determining the number of isomers for each complex. ### Coordination Complexes and Their Isomers: 1. **\[Co(en)_2(Cl)_2]^+\**: - Here, \(en\) stands for ethylenediamine, a bidentate ligand, and \(Co\) is the central metal ion. - The complex can exhibit geometrical isomerism because there are different possible arrangements of the ligands around the metal ion. - It can form cis and trans isomers, indicating 2 possible isomers. 2. **\(Cr(NH_3)_3(OH)_3\)**: - This complex consists of three ammonia (NH3) ligands and three hydroxide (OH) ligands arranged around a chromium (Cr) ion. - Considering different spatial arrangements, the complex can display geometric isomerism with facial (fac) and meridional (mer) isomers, hence 2 isomers. - Since there are chiral centers, optical isomerism is also possible. - It can have a total of 4 isomers: 2 geometrical (fac and mer) and 2 optical (for fac, assuming enantiomers). 3. **\[ZnCl_2Br_2]^{2-}\**: - This tetrahedral complex involves zinc (Zn) surrounded by two chloride (Cl) ions and two bromide (Br) ions.
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