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°s³, 1.00 eV =1VC, leV= 1.602 x 10"J, 1J= 6.242 x 10" eV, etc.). %3D

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°s³, 1.00 eV =1VC, leV= 1.602 x 10"J, 1J= 6.242 x 10" eV, etc.). %3D

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter5: Electron Configurations And The Periodic Table

Section: Chapter Questions

Problem 131QRT

See similar textbooks

Related questions

Q: A green laser beam with a wavelength l = 532 nm has an energy of 3.85 x 10–3 J per pulse. What is…

A: Photons are particle that comprises wave of em radiation. Photons have no charge; no resting mass…

Q: Consider a 2070 lb automobile clocked by law-enforcement radar at a speed of 85.5 mph (miles per…

A: Given the mass of the automobile, m = 2070 lb Velocity, v = 85.5 mph ∆x = 5.0 ft Required…

Q: A laser pointer used in a lecture hall emits light at 445 nmnm. What is the frequency of this…

A: We have wavelength of light as 445 nm, we have to calculate the frequency of this light in s-1 upto…

Q: 9. Determine (a) the energy, in joules per photon, of radiation of frequency 7.39 X 1015 s1; |(b)…

A: Given:(a).Radiation of frequency=7.39*1015s-1(b). Radiation of frequency =1.97*1014s-1

Q: A local AM radio station broadcasts at a frequency of 826 KHz. Calculate the energy of the frequency…

A: Answer:- This question is answered by using the simple concept of calculation of energy of photon…

Q: A 493 g portion of soup is heated in a microwave oven from 25.0°C to 90.0°C, using radiation with a…

Q: 31 A local AM radio station broadcasts at an energy of 5.29x10 kJ/photon. Calculate the frequency at…

Q: - 39 Imagine an alternate universe where the value of the Planck constant is 6.62607 x 10 J.s. In…

A: In each of the cases, we need to calculate the wavelength to decide whether they belong to the…

Q: The distance to the North Star, Polaris, is approximately 6.44 × 1018 m. (a) If Polaris were to burn…

A: a)

Q: What is the frequency of a photon if the energy is 7.23 x 1019 J? (h = 6.626 x 1034 J s) %3D

A: Photons are discrete packets of energy. Given: The energy of the photon, E=7.23 x 10-19 J Frequency,…

Q: visible light has a photon energy of 4.263×10−19 J.4.263×10−19 J. Determine its wavelength,…

A: Given that Energy (E) = 4.263×10-19 J We know that , Energy (E) = hν where h is the planck's…

Q: A 491 g portion of soup is heated in a microwave oven from 25.0°C to 90.0°C, using radiation with a…

A: Given, A 491 g portion of soup is heated in a microwave oven from 25.0°C to 90.0°C, using radiation…

Q: A photon has a frequency of 4.8× 109Hz.b.(8) Calculate the energy (in joules) of this photon.

A: Energy of a photon is related to its frequency with the help of the following formula :…

Q: A diode laser emits at a wavelength of 987 nm. (a) In what portionof the electromagnetic spectrum is…

A: a) To find in which part of the spectrum the radiation would be foundGiven wavelength=987x10-9mThe…

Q: X-rays of frequency 1.53 x 1016 Hz cause the emission of electrons from a material with a maximum…

Q: The power output of a laser is measured by its wattage, the number of joules of energy it radiates…

A: Given wavelength =514.5 nm (a)The wavelength and Energy of a radiation is related to each other as…

Q: The velocitites of an electron (me = 9.1 . 10-31 kg), a proton (mp = 1.7.10-27 kg), a ladybug (mbug…

Concept explainers

Quantum Chemistry

Quantum chemistry deals with the properties of chemical systems and their reactions. The branch of chemistry which is more concerned with quantum chemistry is physical chemistry. It is a more sophisticated field of theoretical physics which is concerned towards the application of physical concepts towards various chemical aspects such as, formation of atoms, chemical structure descriptions, chemical bond strength, hybridization, conjugation etc. Quantum chemistry mainly studies the various states i.e., ground state, excited state, transition states of the individual atoms or molecules taking place during any chemical reaction. The laws of motion explained by various scientists, which are termed as “classical mechanics” were not acceptable in terms of electrons, protons, atoms, light etc. Thus, a new theory named “quantum mechanics” emerged to understand the basic framework of various atomic and subatomic particles.

Question

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°s³, 1.00 eV =1VC,
leV= 1.602 x 10"J, 1J= 6.242 x 10" eV, etc.).
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Introduction

VIEW

Calcualtion

VIEW

Calculation

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Introduction and Principles of Quantum Theory

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

Consider 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).
Estimate the probability of finding an electron which is excited into the 2s orbital of the H atom, looking in a cubical box of volume 0.751036m3 centered at the nucleus. Then estimate the probability of finding the electron if you move the volume searched to a distance of 105.8 pm from the nucleus in the positive z direction. (Note that since these volumes are small, it does not matter whether the volume searched is cubical or spherical.)
A ruby laser puts out a pulse of red light at a wavelength of 694 nm. (The ruby laser is described in the essay on p 226.) If a pulse delivers 1.05 105 watts of power for 280 s, how many photons are there in this pulse? (1 watt = 1 J/s.)
6.101 Laser welding is a technique in which a tightly focused laser beam is used to deposit enough energy to weld metal parts together. Because the entire process can be automated, it is commonly used in many large-scale industries, including the manufacture of automobiles. In order to achieve the desired weld quality, the steel parts being joined must absorb energy at a rate of about 104 W/mm2. (Recall that 1 W = 1 J/s.) A particular laser welding system employs a Nd:YAG laser operating at a wavelength of 1.06m ; at this wavelength steel will absorb about 80% of the incident photons. If the laser beam is focused to illuminate a circular spot with a diameter of 0.02 inch, what is the minimum power (in watts) that the laser must emit to reach the 104 W/mm2 threshold? How many photons per second does this correspond to? (For simplicity, assume that the energy from the laser does not penetrate into the metal to any significant depth.)
This laser emits green light with a wavelength of 533 nm. (a) What is the energy, in joules, of one photon of light at this wavelength? (b) If a particular laser produces 1.00 watt (W) of power (1 W = 1 J/s), how many photons are produced each second by the laser?
A photoemissive material has a threshold energy, Emin = 5 1019 J. Will 300. nm radiation eject electrons from the material? Explain.
The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is (r)=( 1 a 0 3 )1/2exp(r a 0 )ao=0.5291010m (a) What is the probability of finding the electron inside a sphere of volume 1.0pm2 , centered at the nucleus (1pm=1012m) ? (b) What is the probability of finding the electron in a volume of 1.0pm2 at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction? (c) What is the probability of finding the electron in a spherical shell of 1.0 pm in thickness, at a distance of 52.9 pm from the nucleus?
Using Table 5.2, write down the mathematical expression for the 2px wave function for an electronically excited H atom. Estimate the probability of finding the 2px electron if you look in a cubical box of volume of 0.8(pm)3 centered at a distance of 0.5001010m in the =/2 , =0 direction. Does this probability change as you change ? At what angles is the probability of finding the electron smallest and at what angles is the probability the largest? (Note that =2 is the same location as =0 , so don’t double count.)
Investigating Energy Levels Consider the hypothetical atom X that has one electron like the H atom but has different energy levels. The energies of an electron in an X atom are described by the equation E=RHn3 where RH is the same as for hydrogen (2.179 1018 J). Answer the following questions, without calculating energy values. a How would the ground-state energy levels of X and H compare? b Would the energy of an electron in the n = 2 level of H be higher or lower than that of an electron in the n = 2 level of X? Explain your answer. c How do the spacings of the energy levels of X and H compare? d Which would involve the emission of a higher frequency of light, the transition of an electron in an H atom from the n = 5 to the n = 3 level or a similar transition in an X atom? e Which atom, X or H, would require more energy to completely remove its electron? f A photon corresponding to a particular frequency of blue light produces a transition from the n = 2 to the n = 5 level of a hydrogen atom. Could this photon produce the same transition (n = 12 to n = 5) in an atom of X? Explain.
What type of relationship (direct or inverse) e xists between wavelength, frequency, and photon energy? What does a photon energy unit of a joule equal?
(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.)
Suppose that you have a solution containing a substance whose molecules have two quantum states corresponding to different orientations of a certain subgroup of atoms. The energy difference between these two molecular states is ΔE = 0.130 eV. You are running an experiment where no more than 5% percent of the molecules can be in the higher-energy state, or it will cause unacceptable noise. Can you run the experiment at room temperature, or do you need to cool your solution? Decide by determining the percentage of molecules in the higher-energy state. The percentage of molecules in the higher-energy state is_____ %.