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 9.8E
Convert (a) a wavelength of
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Sound waves, like light waves, can interfere with each other, giving maximum and minimum levels of sound. Suppose a listener standing directly between two loudspeakers hears the same tone being emitted from both.
This listener observes that when one of the speakers ismoved 0.16 m farther away, the perceived intensity of thetone decreases from a maximum to a minimum.(a) Calculate the wavelength of the sound.(b) Calculate its frequency, using 343 m s-1as the speedof sound.
(c) The kinetic energy, K, of electrons emitted from a metal surface after irradiation
with UV light of wavelength is given by:
Kg =
hc
$
where h is Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum
(2.99 × 108 m s¹), and is the work function of the metal surface.
In a specific experiment, light with a wavelength of 266 nm was used to irradiate a
cadmium (Cd) metal surface.
(1)
Calculate the photon energy of the light used in the experiment, in Joules.
(II) The work function for cadmium is 4.08 eV. Calculate the kinetic energy of the
emitted electrons.
[Note: 1 eV = 1.60 × 10-19 J.)
(iii) The work function for scandium is 5.61 x 10-19 J. Calculate the wavelength of
the lowest energy photon that would cause emission of electrons from a
scandium surface.
(iv) Irradiation of scandium with 335 nm light results in electrons emitted with a
kinetic energy of 3.20 x 10-19 J. Calculate the de Broglie wavelength of the
emitted electrons.
Assume 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 ?
S
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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- (c) The kinetic energy, KE, of electrons emitted from a metal surface after irradiation with UV light of wavelength A is given by: hc Kε = 7-9 where h is Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 x 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface. Calculate the photon energy of the light used in the experiment, in Joules. (1) ₂4arrow_forward(c) The kinetic energy, Kr, of electrons emitted from a metal surface after irradiation with UV light of wavelength λ is given by: hc K₁=-=- where h is Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 x 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface. (i) Calculate the photon energy of the light used in the experiment, in Joules. (II) The work function for cadmium is 4.08 eV. Calculate the kinetic energy of the emitted electrons. [Note: 1 eV = 1.60 x 10-19 J.)arrow_forwardCalculate the momentum of an X-ray photon with a wavelength of 0.17nm. How does this value compare with the momentum of a free electron that has been accelerated through a potential difference of 5000 volts? (Hint: electron mass, m, = 9.10938 x 10" kg; electron charge e = 1.602 x 10"C; speed of light e = 3.0 x 10° m.s'; 1.00 J= 1.00 VC; h = 6.626 x 10"J.s. The various energy units are: 1 J=1 kg.m's", 1.00 cV =1VC, leV = 1.602 x 10"J, 1J=6.242 x 10" eV, etc.). %3D %3Darrow_forward
- A laser pointer used in a lecture hall emits light at 445 nmnm. What is the frequency of this radiation? Express your answer in inverse seconds to two significant figures.arrow_forwardCalculate the momentum of an X-ray photon with a wavelength of 0.17nm. How does this value compare with the momentum of a free electron that has been accelerated through a potential difference of 5000 volts? (Hint: electron mass, m, = 9.10938 x 10" kg; electron charge e = 1.602 x 10"C; speed of light e = 3.0 x 10* m.s'; 1.00 J= 1.00 VC; h = 6.626 x 10"J.s. The various energy units are: 1 J= 1 kg.m°s³, 1.00 eV =1VC, leV= 1.602 x 10"J, 1J= 6.242 x 10" eV, etc.). %3Darrow_forward(c) Estimate the wavelength of electrons that have been accelerated from rest through a potential difference of 75 kV.arrow_forward
- Which of the following functions can be normalized (in all cases the range for x is from x = −∞ to ∞, and a is a positive constant): (i) e-ax^2; (ii) e–ax. Which of these functions are acceptable as wavefunctions?arrow_forwardSuppose you are standing 225 m from a radio transmitter. What is your distance from the transmitter in terms of the number of wavelengths if(a) the station is broadcasting at 1150 kHz (on the AM radio band)? (1kHz = 1 × 10 3Hz) (b) the station is broadcasting at 98.1 MHz (on the FM radio band)? (1 MHz × 10 6arrow_forward1 Consider two gas clouds, one almost fully ionized at a temperature of 10000 K and emitting in Hβ λ4961.32 Å, and the other one mostly neutral at a temperature of 1000 K and emitting in CO λ2.3 μm. Both gas clouds are moving away from the observer at 1750 km/s. (a) Calculate the central wavelength of the emission lines Hβ λ4961.32 Å and CO λ2.3 μm. (b) Calculate the Doppler broadening of the two emission lines in part (a). Express your answer in both kinematic (km/s) and wavelength units. (The mass of atomic hydrogen = 1.0079u, where u = atomic mass unit = 1.66053x10-27 kg. The mass of CO is 28u.)arrow_forward
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