Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 9, Problem 9.9E
Interpretation Introduction
Interpretation:
The wavenumber of given light in units of
Concept introduction:
Wavelength is a measure of the distance between two adjacent crests or toughs. The
Where,
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Calculate the frequency and wavenumber of the J = 3 ← 2 transition in the pure rotational spectrum of 14N16O. The equilibrium bond length is 115 pm. Would the frequency increase or decrease if centrifugal distortion is considered?
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frequency shift between the two isotopomers H35Cl and H37Cl for the two transitions?
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Chapter 9 Solutions
Physical Chemistry
Ch. 9 - For an object having mass m falling in the z...Ch. 9 - For the system in exercise 9.1, determine the...Ch. 9 - Prob. 9.3ECh. 9 - Prob. 9.4ECh. 9 - Prob. 9.5ECh. 9 - List some unexplainable phenomena from the...Ch. 9 - Draw, label, and explain the functions of the...Ch. 9 - Convert a a wavelength of 218A to cm1, b a...Ch. 9 - Prob. 9.9ECh. 9 - Prob. 9.10E
Ch. 9 - Explain why no lines in the Balmer series of the...Ch. 9 - What are the series limits see the previous...Ch. 9 - The following are the numbers n2 for some of the...Ch. 9 - The Balmer series is isolated from the other...Ch. 9 - Given that the wavelengths of the first three...Ch. 9 - Some scientists study Rydberg atoms, atoms whose...Ch. 9 - Prob. 9.17ECh. 9 - Prob. 9.18ECh. 9 - a How much radiant energy is given off, in...Ch. 9 - Stefans law, equation 9.18, suggests that any body...Ch. 9 - Prob. 9.21ECh. 9 - Betelgeuse pronounced beetle juice is a reddish...Ch. 9 - An average human body has a surface area of...Ch. 9 - Prob. 9.24ECh. 9 - The slope of the plot of energy versus wavelength...Ch. 9 - a Use Wien displacement law to determine the max...Ch. 9 - Prob. 9.27ECh. 9 - Sunburn is caused by ultraviolet UV radiation. Why...Ch. 9 - Calculate the energy of photon having: a a...Ch. 9 - Prob. 9.30ECh. 9 - Integrate Plancks law equation 9.23 from the...Ch. 9 - Calculate the power of light in the wavelength...Ch. 9 - Prob. 9.33ECh. 9 - Work functions are typically given in units of...Ch. 9 - Determine the speed of an electron being emitted...Ch. 9 - Lithium has a work function of 2.90eV. Light...Ch. 9 - Prob. 9.37ECh. 9 - Assume that an electron can absorb more than one...Ch. 9 - The photoelectric effect is used today to make...Ch. 9 - Prob. 9.40ECh. 9 - Prob. 9.41ECh. 9 - Prob. 9.42ECh. 9 - Prob. 9.43ECh. 9 - Prob. 9.44ECh. 9 - Use equation 9.34 to determine the radii, in...Ch. 9 - Prob. 9.46ECh. 9 - Calculate the energies of an electron in the...Ch. 9 - Prob. 9.48ECh. 9 - Show that the collection of constants given in...Ch. 9 - Prob. 9.50ECh. 9 - Equations 9.33 and 9.34 can be combined and...Ch. 9 - a Compare equations 9.31, 9.34, and 9.41 and...Ch. 9 - Label each of the properties of an electron as a...Ch. 9 - The de Broglie equation for a particle can be...Ch. 9 - What is the wavelength of a baseball having mass...Ch. 9 - Electron microscopes operate on the fact that...Ch. 9 - Prob. 9.57ECh. 9 - Prob. 9.58ECh. 9 - Determine under what conditions of temperature and...Ch. 9 - Prob. 9.60ECh. 9 - Prob. 9.61E
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Similar questions
- Is the bond length in 1HCl the same as that in 2HCl? The wavenumbers of the J = 1 ← 0 rotational transitions for 1H35Cl and 2H35Cl are 20.8784 and 10.7840 cm–1, respectively. Accurate atomic masses are 1.007 825mu and 2.0140mu for 1H and 2H, respectively. The mass of 35Cl is 34.968 85mu. Based on this information alone, can you conclude that the bond lengths are the same or different in the two molecules?arrow_forwardAssuming a harmonic potential, the fundamental transition for a diatomic molecule is 1603 cm-1. What is the energy, in wavenumber, of the v=3 level of the molecule?arrow_forwardConsider the rotational spectrum of a linear molecule at 298 K with a moment of inertia of 1.23×10−461.23\times10^{-46}1.23×10−46 kg m2 . (a) What is the frequency for the transition from J = 2 to J = 3? (b) What is the most populated rotational level for this molecule? Would the transition in (a) give the most intense signal in the rotational spectrum?arrow_forward
- The wavenumber of the fundamental vibrational transition of Cl 2 is 565 em·'. Calculate the force constant of thebond.arrow_forwardThe wavenumber of the incident radiation in a Raman spectrometer is 20 487 cm−1. What is the wavenumber of the scattered Stokes radiation for the J = 2 ← 0 transition of 14N2? Take ᷉ B = 1.9987 cm−1.arrow_forwardFor 1H35Cl molecule, (N1/N0) ratio at 300 K is 6.091 x 10^-2. Calculate the wavenumber ( in cm^-1 ) for J=2→J=3 transition in the microwave spectrum of the molecule.arrow_forward
- By how many joules is the energy of a molecule increased when it absorbs (a) visible light with a wavelength of 500 nm or (b) infrared radiation with a wavenumber of 1 251 cm-1?arrow_forwardShow that the intensities, I, of a molecular beam before and after passing through a chamber of length L containing inert scattering atoms are related by I = I0e−NσL, where σ is the collision cross-section and N the number density of scattering atoms.arrow_forwardYou will perform rotational spectroscopy on the diatomic molecule 25A29B (where A and B are generic elements with an interatomic spacing that is expected to be 1.28 Å). Prior to the experiment, you want to predict what the spectrum will look like so you know what to expect and one spectral line you are particularly interested in is the transition between l =2 and the next higher state. What is the wavenumber (in cm-1) of the photon for this transition? Write your answer to two decimal places (X.XX). Answer: 5.88arrow_forward
- You know that the wavenumbers of the rotational transition J = 1← 0 for 1H35Cl and2H35Cl are 20.8784 and 10.7840cm-1, respectively. Accurate atomic masses are1.007825 and 2.0140 for 1H and 2H, respectively. The mass of 35Cl is34.96885. Conclude based on this information that the bond lengths are the sameor differentarrow_forward(a) Calculate the moment of inertia of (i) 1H2, (ii) 2H2, (iii) 12C16O2, (iv) 13CO2 . (b) Calculate the corresponding rotational constants, expressing your answers as a frequency in hertz (Hz) and as a wavenumber in reciprocal centimetres (cm-1).arrow_forwardA diatomic molecule containing 35Cl and another atom has a rotational transition from J=0 to J=1 corresponding to a frequency of 7.70×109 Hz. The bond length is 267 pm. Use this information to calculate the reduced mass of the molecule, then find the atomic mass number of the other atom.arrow_forward
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