Concept explainers
(a)
Interpretation:
The vibrational frequency of
Concept introduction:
The formula to calculate reduced mass is given by,
Where,
•
•
(b)
Interpretation:
The expected frequency of the
Concept introduction:
The formula to calculate reduced mass is given by,
Where,
•
•
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Chapter 11 Solutions
Bundle: Physical Chemistry, 2nd + Student Solutions Manual
- Chapter 3 introduced the concept of a double bond between carbon atoms, represented by C=C , with a length near 1.34 Å. The motion of an electron in such a bond can be treated crudely as motion in a one-dimensional box. Calculate the energy of an electron in each of its three lowest allowed states if it is confined to move in a one-dimensional box of length 1.34 Å. Calculate the wavelength of light necessary to excite the electron from its ground state to the first excited state.arrow_forwardConsider burning ethane gas, C2H6 in oxygen (combustion) forming CO2 and water. (a) How much energy (in J) is produced in the combustion of one molecule of ethane? (b) What is the energy of a photon of ultraviolet light with a wavelength of 12.6 nm? (c) Compare your answers for (a) and (b).arrow_forward2. Calculate the bond length of the OH molecule in the gas phase if the first two lines of the microwave spectrum occur at 8.562 cm1 and 17.124 cm.arrow_forward
- The electronic spectrum of the molecule butadiene, H2C=CH–CH=CH2, can be approximated using the one-dimensional particle-in-a-box if one assumes that the conjugated double bonds span the entire four-carbon chain. If the electron absorbing a photon having wavelength 217 nm is going from the level n =2 to the level n =3, what is the approximate length of the C4H6 molecule?arrow_forwardA series of lines in the spectrum of atomic hydrogen lies at 656.46, 486.27, 434.17, and 410.29 nm. (a) What is the wavelength of the next line in the series? (b) What is the ionization energy of the atom when it is in the lower state of the transitions?arrow_forwardThe lines of the rotational spectrum of HBr are 5.10 x 10^11 Hz apart in frequency. Find the internuclear distance in HBr. (Notes: Since the Br atom is about 80 times more massive than the proton, the reduced mass of an HBr molecule can be taken as just the 1H mass.)arrow_forward
- (a) The first step in ozone formation in the upper atmosphere occurs when oxygen molecules absorb UV radiation of wave-lengths ≤242 nm. Calculate the frequency and energy of theleast energetic of these photons. (b) Ozone absorbs light having wavelengths of 2200 to 2900 Å, thus protecting organisms on Earth’s surface from this high-energy UV radiation. What are the frequency and energy of the most energetic of these photons?arrow_forwardwhat is the lewis dot structure of an excited state nitrogen?arrow_forwardThe C-H bond in ethanol vibrates at a frequency of 3000 cm ¹. What frequency (s 1) of light is required to change the vibrational quantum number from v=0 to v=1, assuming that C-H acts as a harmonic oscillator.arrow_forward
- What is (a) the energy. (b) the speed of an electron that has been ejected from an orbital of ionization energy 10.0 eV by a photon of radiation of wavelength 110 nm?arrow_forwardThe vibrational frequencies of most chemical bonds are around 10^13 per second. Calculate the the corresponding wavelength and confirm that it falls within the thermal IR range of the electromagnetic spectrum.arrow_forwardAssume that for ¹H35 Cl molecule the rotational quantum number J is 11 and vibrational quantum number n = 0. The isotopic mass of ¹H atom is 1.0078 amu and the isotopic mass of 35 C1 atom is 34.9688 amu, k = 516 N · m¯¹, and x = 127.5 pm. Part E Calculate the period for vibration. Express your answer in seconds to three significant figures. Tvibrational = Part F Submit Previous Answers 1.12x10-14 s Correct Correct answer is shown. Your answer 1.1181.10-¹4 = 1.1181x10-14s was either rounded differently or used a different number of significant figures than required for this part. Calculate the period for rotation. Express your answer in seconds to four significant figures. Trotational = ΑΣΦ W ? Sarrow_forward
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage LearningChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage Learning