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Consider the species Cl2+, Cl2, and Cl2–. Which of these species will be paramagnetic?Only Cl2Cl2+ and Cl2Cl2 and Cl2–Cl2+ and Cl2–all three are paramagnetic

Question

Consider the species Cl2+, Cl2, and Cl2–.

Which of these species will be paramagnetic?

  • Only Cl2
  • Cl2+ and Cl2
  • Cl2 and Cl2–
  • Cl2+ and Cl2–
  • all three are paramagnetic
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Solution

To determine which of the species Cl2+,Cl2, \text{Cl}_2^+, \text{Cl}_2, and Cl2 \text{Cl}_2^- are paramagnetic, we must analyze the electron configuration and the presence of unpaired electrons in each species.

1. Break Down the Problem

  • Identify the electron configurations for Cl2+,Cl2, \text{Cl}_2^+, \text{Cl}_2, and Cl2 \text{Cl}_2^- .
  • Determine if each species has unpaired electrons.

2. Relevant Concepts

  • A molecule is paramagnetic if it has unpaired electrons.
  • The electron configuration of molecular chlorine Cl2 \text{Cl}_2 can be built from the individual chlorine atoms.

3. Analysis and Detail

  • Electron configuration of Cl2 \text{Cl}_2 :

    • The total number of electrons in Cl2 \text{Cl}_2 is 14 (7 from each Cl atom). The appropriate molecular orbital configuration will have:
      • σ(1s)2 \sigma(1s)^2
      • σ(1s)2 \sigma^*(1s)^2
      • σ(2s)2 \sigma(2s)^2
      • σ(2s)2 \sigma^*(2s)^2
      • σ(2pz)2 \sigma(2p_z)^2
      • π(2px)2 \pi(2p_x)^2
      • π(2py)2 \pi(2p_y)^2
      • π(2px)1 \pi^*(2p_x)^1
    • This shows Cl2 \text{Cl}_2 has 1 unpaired electron, making it paramagnetic.
  • Electron configuration of Cl2+ \text{Cl}_2^+ :

    • Removing one electron (from the highest occupied molecular orbital) gives:
      • σ(1s)2 \sigma(1s)^2
      • σ(1s)2 \sigma^*(1s)^2
      • σ(2s)2 \sigma(2s)^2
      • σ(2s)2 \sigma^*(2s)^2
      • σ(2pz)2 \sigma(2p_z)^2
      • π(2px)2 \pi(2p_x)^2
      • π(2py)2 \pi(2p_y)^2
      • π(2px)0 \pi^*(2p_x)^0
    • This shows Cl2+ \text{Cl}_2^+ has no unpaired electrons, making it diamagnetic.
  • Electron configuration of Cl2 \text{Cl}_2^- :

    • Adding one electron:
      • σ(1s)2 \sigma(1s)^2
      • σ(1s)2 \sigma^*(1s)^2
      • σ(2s)2 \sigma(2s)^2
      • σ(2s)2 \sigma^*(2s)^2
      • σ(2pz)2 \sigma(2p_z)^2
      • π(2px)2 \pi(2p_x)^2
      • π(2py)2 \pi(2p_y)^2
      • π(2px)1 \pi^*(2p_x)^1
      • This indicates that Cl2 \text{Cl}_2^- has one unpaired electron, making it paramagnetic.

4. Verify and Summarize

  • Summary of findings:
    • Cl2+ \text{Cl}_2^+ : diamagnetic (no unpaired electrons).
    • Cl2 \text{Cl}_2 : paramagnetic (1 unpaired electron).
    • Cl2 \text{Cl}_2^- : paramagnetic (1 unpaired electron).

Final Answer

The species that will be paramagnetic are Cl2 \text{Cl}_2 and Cl2 \text{Cl}_2^- .

This problem has been solved

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