Describe the structure of diborane (B2H6) and explain why the bridging B–H bonds are longer than the terminal B–H bonds.
Ch.22 - The Main Group Elements
Chapter 22, Problem 22.92
Draw the electron-dot structure for CO, CO2, and CO32–, and predict which substance will have the strongest carbon–oxygen bond.
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Identify the total number of valence electrons for each molecule or ion. For CO, carbon has 4 valence electrons and oxygen has 6, totaling 10 electrons. For CO_2, carbon has 4 and each oxygen has 6, totaling 16 electrons. For CO_3^{2-}, carbon has 4, each oxygen has 6, and the 2- charge adds 2 more electrons, totaling 24 electrons.
Draw the Lewis structure for CO by placing carbon and oxygen next to each other. Use a triple bond between carbon and oxygen to satisfy the octet rule, and place any remaining electrons as lone pairs on the oxygen atom.
Draw the Lewis structure for CO_2 by placing carbon in the center with double bonds to each oxygen. Ensure each atom satisfies the octet rule, with carbon having 8 electrons and each oxygen having 8 electrons.
Draw the Lewis structure for CO_3^{2-} by placing carbon in the center with single bonds to each oxygen. Distribute the remaining electrons to satisfy the octet rule for each oxygen. Use resonance structures to show the delocalization of electrons, indicating that the double bond can be with any of the three oxygens.
Compare the bond orders: CO has a triple bond (bond order of 3), CO_2 has double bonds (bond order of 2), and CO_3^{2-} has resonance structures with an average bond order of 1.33. The strongest bond is the one with the highest bond order, which is the triple bond in CO.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Electron-Dot Structures
Electron-dot structures, also known as Lewis structures, represent the valence electrons of atoms within a molecule. They illustrate how electrons are shared or transferred between atoms, helping to visualize bonding and lone pairs. For CO, CO2, and CO3^2–, drawing these structures reveals the arrangement of electrons and the types of bonds formed, which are crucial for understanding molecular geometry and reactivity.
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Bond Order
Bond order is a concept that indicates the number of chemical bonds between a pair of atoms. It is calculated as the difference between the number of bonding and antibonding electrons divided by two. Higher bond orders generally correlate with stronger bonds; thus, analyzing the bond order in CO, CO2, and CO3^2– will help predict which carbon-oxygen bond is the strongest based on the number of shared electron pairs.
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Resonance Structures
Resonance structures are different ways of drawing the same molecule that illustrate the delocalization of electrons. In molecules like CO3^2–, resonance indicates that the actual structure is a hybrid of these forms, affecting bond lengths and strengths. Understanding resonance is essential for predicting the stability and reactivity of the molecule, as it influences the effective bond order and the strength of the carbon-oxygen bonds.
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