(a) Interpretation: Whether the molecule dimethylacetylene, CH 3 − C ≡ C − CH 3 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated. Concept introduction: Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule, the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Question

On the next page is an LC separation of the parabens found in baby wash. Parabens are suspected in a link to breast cancer therefore an accurate way to quantitate them is desired. a. In the chromatogram, estimate k' for ethyl paraben. Clearly indicate what values you used for all the terms in your calculation. b. Is this a "good" value for a capacity factor? Explain. c. What is the resolution between n-Propyl paraben and n-Butyl paraben? Again, indicate clearly what values you used in your calculation. MAU | Methyl paraben 40 20 0 -2 Ethyl paraben n-Propyl paraben n-Butyl paraben App ID 22925 6 8 min

Answer 1

Question

Chapter 14, Problem 14.13E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule dimethylacetylene, CH3−C≡C−CH3 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule, the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(b)

Interpretation:

Whether the molecule sulfur hexafluoride, SF6 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(c)

Interpretation:

Whether the molecule phosphate ion, PO43− is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(d)

Interpretation:

Whether the molecule glycine, (CH2)(NH2)(COOH) is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(e)

Interpretation:

Whether the molecule cis−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(f)

Interpretation:

Whether the molecule trans−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

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On the next page is an LC separation of the parabens found in baby wash. Parabens are suspected in a link to breast cancer therefore an accurate way to quantitate them is desired. a. In the chromatogram, estimate k' for ethyl paraben. Clearly indicate what values you used for all the terms in your calculation. b. Is this a "good" value for a capacity factor? Explain. c. What is the resolution between n-Propyl paraben and n-Butyl paraben? Again, indicate clearly what values you used in your calculation. MAU | Methyl paraben 40 20 0 -2 Ethyl paraben n-Propyl paraben n-Butyl paraben App ID 22925 6 8 min

d. In Figure 4, each stationary phase shows some negative correlation between plate count and retention factor. In other words, as k' increases, N decreases. Explain this relationship between k' and N. Plate Count (N) 4000 3500 2500 2000 1500 1000 Figure 4. Column efficiency (N) vs retention factor (k') for 22 nonionizable solutes on FMS (red), PGC (black), and COZ (green). 3000 Eluent compositions (acetonitrile/water, A/W) were adjusted to obtain k' less than 15, which was achieved for most solutes as follows: FMS (30/70 A/W), PGC (60/40), COZ (80/20). Slightly different compositions were used for the most highly retained solutes. All columns were 50 mm × 4.6 mm id and packed with 5 um particles, except for COZ, which was packed with 3 um particles. All other chromatographic conditions were constant: column length 5 cm, column j.§. 4.6 mm, flow rate 2 mL/min, column temperature 40 °C, and injection volume 0.5 μL Log(k'x/K'ethylbenzene) FMS 1.5 1.0 0.5 0.0 ཐྭ ཋ ཤྩ བྷྲ ; 500 0 5 10…

f. Predict how the van Deemter curve in Figure 7 would change if the temperature were raised from 40 °C to 55 °C. Figure 7. van Desmter curves in reduced coordinates for four nitroalkane homologues (nitropropane, black; nitrobutane, red; nitropentane, blue; and nitrohexane, green) separated on the FMS phase. Chromatographic conditions: column dimensions 50 mm × 4.6 mm id, eluent 30/70 ACN/water, flow rates 0.2-5.0 mL/min, injection volume 0.5 and column temperature 40 °C. No corrections to the plate heights have been made to account for extracolumn dispersion. Reduced Plate Height (h) ° 20 40 60 Reduced Velocity (v) 8. (2) A water sample is analyzed for traces of benzene using headspace analysis. The sample and standard are spiked with a fixed amount of toluene as an internal standard. The following data are obtained: Ppb benzene Peak area benzene Peak area toluene 10.0 252 376 Sample 533 368 What is the concentration of benzene in the sample?

Answer 2

Question

Chapter 14, Problem 14.13E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule dimethylacetylene, CH3−C≡C−CH3 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule, the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(b)

Interpretation:

Whether the molecule sulfur hexafluoride, SF6 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(c)

Interpretation:

Whether the molecule phosphate ion, PO43− is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(d)

Interpretation:

Whether the molecule glycine, (CH2)(NH2)(COOH) is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(e)

Interpretation:

Whether the molecule cis−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(f)

Interpretation:

Whether the molecule trans−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

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Answer 3

Question

Chapter 14, Problem 14.13E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule dimethylacetylene, CH3−C≡C−CH3 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule, the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(b)

Interpretation:

Whether the molecule sulfur hexafluoride, SF6 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(c)

Interpretation:

Whether the molecule phosphate ion, PO43− is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(d)

Interpretation:

Whether the molecule glycine, (CH2)(NH2)(COOH) is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(e)

Interpretation:

Whether the molecule cis−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(f)

Interpretation:

Whether the molecule trans−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

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Answer 4

Question

Chapter 14, Problem 14.13E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule dimethylacetylene, CH3−C≡C−CH3 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule, the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(b)

Interpretation:

Whether the molecule sulfur hexafluoride, SF6 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(c)

Interpretation:

Whether the molecule phosphate ion, PO43− is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(d)

Interpretation:

Whether the molecule glycine, (CH2)(NH2)(COOH) is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(e)

Interpretation:

Whether the molecule cis−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(f)

Interpretation:

Whether the molecule trans−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

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Answer 5

Chapter 14, Problem 14.13E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule dimethylacetylene, CH3−C≡C−CH3 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule, the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(b)

Interpretation:

Whether the molecule sulfur hexafluoride, SF6 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(c)

Interpretation:

Whether the molecule phosphate ion, PO43− is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(d)

Interpretation:

Whether the molecule glycine, (CH2)(NH2)(COOH) is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(e)

Interpretation:

Whether the molecule cis−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Interpretation Introduction

(f)

Interpretation:

Whether the molecule trans−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 6

Chapter 14, Problem 14.13E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule dimethylacetylene, CH3−C≡C−CH3 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule, the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 7

Chapter 14, Problem 14.13E

Interpretation Introduction

(a)

Interpretation:

Whether the molecule dimethylacetylene, CH3−C≡C−CH3 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule, the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 8

Interpretation Introduction

(b)

Interpretation:

Whether the molecule sulfur hexafluoride, SF6 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 9

Interpretation Introduction

(b)

Interpretation:

Whether the molecule sulfur hexafluoride, SF6 is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 10

Interpretation Introduction

(c)

Interpretation:

Whether the molecule phosphate ion, PO43− is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 11

Interpretation Introduction

(c)

Interpretation:

Whether the molecule phosphate ion, PO43− is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 12

Interpretation Introduction

(d)

Interpretation:

Whether the molecule glycine, (CH2)(NH2)(COOH) is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 13

Interpretation Introduction

(d)

Interpretation:

Whether the molecule glycine, (CH2)(NH2)(COOH) is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 14

Interpretation Introduction

(e)

Interpretation:

Whether the molecule cis−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 15

Interpretation Introduction

(e)

Interpretation:

Whether the molecule cis−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 16

Interpretation Introduction

(f)

Interpretation:

Whether the molecule trans−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 17

Interpretation Introduction

(f)

Interpretation:

Whether the molecule trans−1,2− Dichloroethylene is linear, spherical tops, prolate symmetric tops, oblate symmetric tops, or asymmetric tops is to be stated.

Concept introduction:

Nonlinear molecules can rotate in three independent and mutually perpendicular directions. It is not necessary that the rotation in one dimension is equivalent to rotations in the other two directions. The moment of inertia for each dimension of each rotation is usually different. If a molecule has three different moments of inertia, it is called an asymmetric top molecule. If a molecule has two of its three moments of inertia equal, it is called symmetric top molecule. If the two equal moments of inertia are lower than the unique moment of inertia, then the molecule is called oblate tops. If the two equal moments of inertia are higher than the unique moment of inertia, then the molecule is called prolate tops. For linear molecule the moment of inertia along the molecular axis is zero. Spherical top molecules have no net dipole moment or net dipole moment is equal to zero.

Answer 18

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Ch. 14 - Prob. 14.1E Ch. 14 - Determine if the following integrals can be...Ch. 14 - What is the frequency of light having the...Ch. 14 - What is the wavelength of light having the given...Ch. 14 - What is the energy of light having each...Ch. 14 - The Cu(H2O)62+ complex has octahedral symmetry. Is...Ch. 14 - What are the wavelength, speed, and energy of a...Ch. 14 - Prob. 14.8E Ch. 14 - Prob. 14.9E Ch. 14 - Prob. 14.10E

Solution Summary: The author explains the structure of dimethylacetylene, which is linear, spherical, or asymmetric.

Chapter 14 Solutions