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Predict the ideal values for the bond angles about each carbon atom in the following molecule. Indicate the hybridization of orbitals for each carbon. \(\mathrm{CH}_{2} \mathrm{CHCOOCH}_{3}\)

Short Answer

Expert verified
The ideal bond angles for \( sp^2 \) hybridized carbon atoms are approximately 120°, and for \( sp^3 \) hybridized carbon, the angle is about 109.5°.

Step by step solution

01

Analyze the Chemical Structure

To begin, look at the molecular formula for the compound, which is \( \mathrm{CH}_{2} \mathrm{CHCOOCH}_{3} \). This structure suggests multiple carbon atoms, each of which will have a specific hybridization and ideal bond angle depending on its bonding environment.
02

Determine the Hybridization of Each Carbon Atom

1. For the first carbon in \( \mathrm{CH}_2 \) (part of the alkene group), it forms two single bonds and one double bond. This implies \( sp^2 \) hybridization.2. The second carbon atom shares a double bond with the first carbon and a single bond with another carbon, meaning it also has \( sp^2 \) hybridization.3. The central carbon in the ester group forms a double bond with oxygen and two single bonds with other atoms. It also has \( sp^2 \) hybridization.4. The last carbon in \( \mathrm{OCH}_3 \) forms single bonds with oxygen and hydrogen, indicating \( sp^3 \) hybridization.
03

Predict Bond Angles Based on Hybridization

1. For carbon atoms with \( sp^2 \) hybridization, such as those in the \( \mathrm{CH}_2 \) and \( \mathrm{CHCO} \) groups, the ideal bond angle is approximately 120° due to the trigonal planar geometry.2. For the last carbon atom in the \( \mathrm{OCH}_3 \) group, it has \( sp^3 \) hybridization which results in a tetrahedral geometry and an ideal bond angle of approximately 109.5°.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Hybridization of Carbon Atoms
Hybridization is a fundamental concept in chemistry which describes how atomic orbitals mix to form new hybrid orbitals. These hybrid orbitals influence the geometry of molecules and affect bond angles. In the structure of \( \mathrm{CH}_{2} \mathrm{CHCOOCH}_{3} \), different carbon atoms exhibit different types of hybridization.
For the first carbon atom in \( \mathrm{CH}_2 \), it forms two single bonds and one double bond. This arrangement requires \( sp^2 \) hybridization, involving one \( s \) orbital and two \( p \) orbitals. The electron geometry of \( sp^2 \) hybridization is trigonal planar.
Similarly, the second carbon, which is in the \( \mathrm{CHCO} \) group, also exhibits \( sp^2 \) hybridization. It shares a double bond with the first carbon and a single bond with another carbon molecule. This configuration aligns with the trigonal planar shape.
On the other hand, the carbon atom in the \( \mathrm{OCH}_3 \) group, which forms single bonds with one oxygen and one hydrogen atom, has \( sp^3 \) hybridization. This means that one \( s \) orbital mixes with three \( p \) orbitals, leading to a tetrahedral structure.
Trigonal Planar Geometry
Trigonal planar geometry is a common molecular shape resulting from \( sp^2 \) hybridization of carbon atoms. In this arrangement, one \( s \) orbital mixes with two \( p \) orbitals, forming three equivalent \( sp^2 \) orbitals. These orbitals are arranged in a plane to minimize repulsion, giving a bond angle of approximately 120°.
Carbon atoms in \( \mathrm{CH}_2 \) and \( \mathrm{CHCO} \) parts of the molecule share this geometry. This efficient planar arrangement allows for overlapping \( p \) orbitals to form stronger \(  \) bonds.
  • A **trigonal planar** setup helps in maximizing the distance between electron pairs.
  • It offers stability to the molecule's structure through optimal orbital overlap.
With the central atom in a flat plane, the other atoms at the vertices of the triangle remain equidistant from each other.
Tetrahedral Geometry
Tetrahedral geometry arises from \( sp^3 \) hybridization, where one \( s \) orbital combines with three \( p \) orbitals, creating four hybrid orbitals of equal energy. This configuration results in a three-dimensional shape where atoms are positioned at the tips of a tetrahedron.
In the \( \mathrm{OCH}_3 \) group of our example compound, the carbon atom exhibits \( sp^3 \) hybridization. It leads to a bond angle ideal of approximately 109.5°. Such an arrangement is crucial for relieving steric strain and allowing for maximum spatial distribution of the electrons.
  • **Tetrahedral geometry** ensures that the negative charge from electrons is evenly distributed.
  • This shape is prevalent when there are four bonds surrounding the central atom.
Thus, understanding these hybridizations allows us to predict molecular structure and interactions more effectively.

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Most popular questions from this chapter

The protein ribonuclease \(\mathrm{A}\) in its native, or most stable, form is folded into a compact globular shape: (a) Does the native form have a lower or higher free energy than the denatured form, in which the protein is an extended chain? (b) What is the sign of the system's entropy change in going from the denatured to the folded form? (c) In the native form, the molecule has four \(-\mathrm{S}-\mathrm{S}-\) bonds that bridge parts of the chain. What effect do you predict these four linkages to have on the free energy and entropy of the native form relative to the free energy and entropy of a hypothetical folded structure that does not have any \(-\mathrm{S}-\mathrm{S}-\) linkages? Explain. (d) A gentle reducing agent converts the four \(-S-S-\) linkages in ribonuclease \(A\) to eight \(-S-H\) bonds. What effect do you predict this conversion to have on the tertiary structure and entropy of the protein? (e) Which amino acid must be present for \(-\mathrm{SH}\) bonds to exist in ribonuclease A?

Draw the condensed structural formulas for two different molecules with the formula \(\mathrm{C}_{3} \mathrm{H}_{4} \mathrm{O}\).

Indicate whether each statement is true or false. (a) The sequence of amino acids in a protein, from the amine end to the acid end, is called the primary structure of the protein. (b) Alpha helix and beta sheet structures are examples of quaternary protein structure. (c) It is impossible for more than one protein to bind to another and make a higher order structure.

True or false: The weaker a single bond in a molecule, the greater the chance it will be the site of a reaction (compared to stronger single bonds in the molecule).

Give the name or condensed structural formula, as appropriate: (a) 3-phenylpentane (b) 2,3 -dimethylhexane (c) 3,3-dimethyloctane (d) \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}\left(\mathrm{CH}_{3}\right) \mathrm{CH}_{2} \mathrm{CH}\left(\mathrm{CH}_{3}\right)_{2}\)

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