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The color of dyes results from the preferential absorption of certain wavelengths of light. Certain dye molecules consist of symmetric pairs of rings joined at the center by a chain of carbon atoms, as shown in (Figure 1). Electrons of the bonds along the chain of carbon atoms are shared among the atoms in the chain, but are repelled by the nitrogen- containing rings at the end of the chain. These electrons are thus free to move along the chain but not beyond its ends. They look very much like a particle in a one-dimensional box. For the molecule shown, the effective length of the "box" is 0.85 nm. Part A Assuming that the electrons start in the lowest energy state, what is the longest wavelength this molecule will absorb? Express your answer with the appropriate units. HA ? Value Units Submit Request Answer

The color of dyes results from the preferential absorption of certain wavelengths of light. Certain dye molecules consist of symmetric pairs of rings joined at the center by a chain of carbon atoms, as shown in (Figure 1). Electrons of the bonds along the chain of carbon atoms are shared among the atoms in the chain, but are repelled by the nitrogen- containing rings at the end of the chain. These electrons are thus free to move along the chain but not beyond its ends. They look very much like a particle in a one-dimensional box. For the molecule shown, the effective length of the "box" is 0.85 nm. Part A Assuming that the electrons start in the lowest energy state, what is the longest wavelength this molecule will absorb? Express your answer with the appropriate units. HA ? Value Units Submit Request Answer

Chemistry
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
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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The color of dyes results from the preferential absorption of certain wavelengths of light. Certain dye molecules consist of symmetric pairs of rings joined at the center by a chain of carbon atoms, as shown in (Figure 1). Electrons of the bonds along the chain of carbon atoms are shared among the atoms in the chain, but are repelled by the nitrogen- containing rings at the end of the chain. These electrons are thus free to move along the chain but not beyond its ends. They look very much like a particle in a one-dimensional box. For the molecule shown, the effective length of the "box" is 0.85 nm. Part A Assuming that the electrons start in the lowest energy state, what is the longest wavelength this molecule will absorb? Express your answer with the appropriate units. HÀ ? d1 = Value Units Submit Request Answer Part B Assuming that the electrons start in the lowest energy state, what is the second longest wavelength this molecule will absorb? Express your answer with the appropriate units. HA A2 = Value Units Submit Request Answer Part C Figure < 1 of 1 > Assuming that the electrons start in the lowest energy state, what is the third longest wavelength this molecule will absorb? Express your answer with the appropriate units. μΑ A3 = Value Units Submit Request Answer
Transcribed Image Text:The color of dyes results from the preferential absorption of certain wavelengths of light. Certain dye molecules consist of symmetric pairs of rings joined at the center by a chain of carbon atoms, as shown in (Figure 1). Electrons of the bonds along the chain of carbon atoms are shared among the atoms in the chain, but are repelled by the nitrogen- containing rings at the end of the chain. These electrons are thus free to move along the chain but not beyond its ends. They look very much like a particle in a one-dimensional box. For the molecule shown, the effective length of the "box" is 0.85 nm. Part A Assuming that the electrons start in the lowest energy state, what is the longest wavelength this molecule will absorb? Express your answer with the appropriate units. HÀ ? d1 = Value Units Submit Request Answer Part B Assuming that the electrons start in the lowest energy state, what is the second longest wavelength this molecule will absorb? Express your answer with the appropriate units. HA A2 = Value Units Submit Request Answer Part C Figure < 1 of 1 > Assuming that the electrons start in the lowest energy state, what is the third longest wavelength this molecule will absorb? Express your answer with the appropriate units. μΑ A3 = Value Units Submit Request Answer
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