Concept explainers
(a)
Interpretation:
The velocity of electron required for an electron diffraction experiment if the wavelength is
Concept Introduction:
de Broglie established a relation for particles of matter that they also can behave as a wave and has a wavelength. The wavelength of the particle is inversely proportional to its mass. The smaller the mass, the larger its wavelength.
The expression given by the de Broglie is as follows:
Here,
The expression to calculate the root-mean-square speed of particle is as follows:
Here,
(a)
Answer to Problem 7.103QE
The velocity of electron required for an electron diffraction experiment if the wavelength is
Explanation of Solution
Rearrange equation (1) to calculate the value of velocity as follows:
Substitute
(b)
Interpretation:
The velocity of neutron with wavelength
Concept Introduction:
Refer to part (a).
(b)
Answer to Problem 7.103QE
The velocity of neutron with wavelength
Explanation of Solution
Rearrange equation (1) to calculate value of velocity as follows:
Substitute
Substitute
The value of the velocity of neutron with wavelength
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Chapter 7 Solutions
Chemistry: Principles and Practice
- 2.9 Vibrations in crystals. (a) Calculate the average vibrational energy per mole for Si at 400 K to within the limits of the Einstein theory. Let VẸ = 12 x 1012 s-1, (b) If each atom carried three quanta of vibrational energy, how much vibrational energy would the crystal contain?arrow_forwardWhat are the molecular processes that occur when (a) infrared, (b) x-ray, and (c) ultraviolet photons are absorbed by a molecule?arrow_forwardThe noble gas emits light as a result of ionisation of gaseous atoms. State which noble gas ionises most readily and explain your answer. Suggest two reasons why the noble gases become less ideal in their behaviour down the group from helium to xenon. Under what condition of temperature and pressure is the behaviour of real gases similar to ideal gases? Explain your answer.arrow_forward
- (c) The standard enthalpy of formation of O(g) is 249 kJ/mol. Calculate the wavelength (in nm) of the electromagnetic radiation with the minimum amount of energy required for dissociation of one molecule of oxygen gas.arrow_forwardIt takes 463./kJmol to break an oxygen-hydrogen single bond. Calculate the maximum wavelength of light for which an oxygen-hydrogen single bond could be broken by absorbing a single photon. Be sure your answer has the correct number of significant digits.arrow_forward2 students make solutions of CuCl2.2H2O using 25-mL volumetric flasks. student A weighs out 2.489g of solid, and student B weighs out 1.867g. c.) which solution would you expect to absorb more light in the colorimeter? Briefly explain.arrow_forward
- consider a 75 w bulb and 850 w microwave oven . if the wavelength of the radiation they emitted are 500nm and 150 nm respectively estimate the number of photons they emits per second . are the quantum effect important in them?arrow_forwardHow would density of states (DOS) vs energy plots behave for quantum wells, quantum wires and quantum dots. Identify which nanostructure is suitable for the fabrication of lasers and explain why?arrow_forward(4) Electrons are no longer ejected from a sample of metal whenever it is illuminated by light with wavelength greater than 344nm. (a) Based on the table below, what is the most likely metal being illuminated? (b) If the sample is illuminated by light with wavelength 48.3nm, what is the stopping potential? (c) In the event this sample of metal were replaced by a metal with a smaller work function, but still illuminated with light with 48.3nm, would the kinetic energy of the ejected electrons increase or decrease? (d) What is the threshold frequency for cesium? Atom W (eV) Cesium 2.1 Calcium 2.9 Uranium 3.6 Cadmium 4.07 Lead 4.14 Niobium 4.3 Iron 4.5 Copper Cobalt 4.7 5 Gold 5.11 Platinum 6.35arrow_forward
- Be sure to answer all parts. Covalent bonds in a molecule absorb radiation in the IR region and vibrate at characteristic frequencies. (a) A molecular vibration absorbs radiation of wavelength 28.3 um. What frequency (in s) corresponds to that wavelength? Enter your answer in scientific notation. x 10 (b) A molecular vibration has a frequency of vibration of 7.574 x 10" Hz. What wavelength (in um) corresponds to that frequency? umarrow_forwardDraw the planetary electrons of silicon (Si)14 and copper (Cu)29 atoms.arrow_forwardCovalent bonds in a molecule absorb radiation in the IR re-gion and vibrate at characteristic frequencies.(a) The C—O bond absorbs radiation of wavelength 9.6 μm.What frequency (in s⁻¹) corresponds to that wavelength?(b) The H—Cl bond has a frequency of vibration of 8.652x10^13Hz. What wavelength (in μm) corresponds to that frequency?arrow_forward
- Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningPhysical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,