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Convert (a) a wavelength of
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Physical Chemistry
- (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.arrow_forward(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_forwardA 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_forward
- Calculate 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_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_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
- 1 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_forwardA nitrogen molecule is confined in a cubic box of volume 1.00 m3. (i) Assuming that the molecule has an energy equal to 3/2kT at T = 300 K, what is the value of n = (nx2 + ny2 + nz2)1/2 for this molecule? (ii) What is the energy separation between the levels n and n + 1? (iii) What is the de Broglie wavelength of the molecule?arrow_forwardMoseley’s law states that if we plot the square root of the frequency of the Kα X-ray photons from various targets against the atomic number Z of the target, the graph is linear given by √f = a(Z−b) where a and b are constants called proportionality and screening (or shielding) constants. For Kα series, the value of a is √(3Rc/4) and that of b is 1. Here R is Rydberg's constant and c is speed of light. Find the wavelength of the Kα X-ray photons when the target is Molybdenum. A) 194 pm B) 72 pm C) 154 pm D) none of thesearrow_forward
- (c) The kinetic energy, K₁, of electrons emitted from a metal surface after irradiation with UV light of wavelength λ is given by: hc Kg = -4 where his 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.arrow_forward(a) For a particle in the stationary state n of a one dimensional box of length a, find the probability that the particle is in the region 0 x a/4. (b) Calculate this probability for n = 1, 2, and 3 Sketch and | |2 for the n = 4 and n = 5 states of a particle in a one-dimensional box.arrow_forwardA Mass Spectrometer is set up to separate gas molecules of O2 and CO2. Both molecules enter the machine traveling with a KE of 920 eV, where 1 eV = 1.602 (10)^-19 J.Both molecules are singularly ionized (missing one electron). The spectrometer applies a magnetic field of strength 1.6 T.O2 has a mass of 32 amu and CO2 has a mass of 44 amu, where 1 amu = 1.67 (10)^-27 kg. What molecule will be curved in a smaller loop? a) O2 b) CO2 c) Both travel alonga loop of similar radius d) more info is neededarrow_forward
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning