Chemistry: Structure and Properties Custom Edition for Rutgers University General Chemistry
15th Edition
ISBN: 9781269935678
Author: Nivaldo J. Tro
Publisher: Pearson Education
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Chapter 3, Problem 75E
An argon ion laser puts out 5.0 W of continuous power at a wavelength of 532 nm. The diameter of the laser beam is 5.5 mm. If the laser is pointed toward a pinhole with a diameter of 1.2 mm, how many photons will travel through the pinhole per second? Assume that the light intensity is equally distributed throughout the entire cross-sectional area of the beam. (1 W = 1 J/s) Hint: Use the formula for the area of a circle ∖[(A = ∖pi {r^2})∖]to find the cross-sectional area of the beam and of the pinhole and determine what fraction of the power gets through the pinhole.
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Chapter 3 Solutions
Chemistry: Structure and Properties Custom Edition for Rutgers University General Chemistry
Ch. 3 - Which wavelength of light has the highest...Ch. 3 - Which kind of electromagnetic radiation contains...Ch. 3 - How much energy (in J ) is contained in 1.00 mole...Ch. 3 - Light from three different lasers (A, B, and C),...Ch. 3 - Calculate the wavelength of an electron traveling...Ch. 3 - Which set of three quantum numbers does not...Ch. 3 - Calculate the wavelength of light emitted when an...Ch. 3 - Which electron transition produces light of the...Ch. 3 - How much time (in seconds) does it take light to...Ch. 3 - Which figure represents a d orbital? None of the...
Ch. 3 - Why is the quantum-mechanical model of the atom...Ch. 3 - What is light? How fast does it travel in a...Ch. 3 - Define the wavelength and amplitude of a wave.Ch. 3 - Define the frequency of electromagnetic radiation....Ch. 3 - What determines the color of light? Describe the...Ch. 3 - What determines the color of a colored object?...Ch. 3 - Give an approximate range of wavelengths for each...Ch. 3 - Explain the wave behavior known as interference....Ch. 3 - Explain the wave behavior known as diffraction....Ch. 3 - Describe the photoelectric effect. How did...Ch. 3 - How did the photoelectric effect lead Einstein to...Ch. 3 - What is a photon? How is the energy of a photon...Ch. 3 - What is an emission spectrum? How does an emission...Ch. 3 - Describe the Bohr model for the atom. How did the...Ch. 3 - Explain electron diffraction.Ch. 3 - What is the de Broglie wavelength of an electron?...Ch. 3 - What are complementary properties? How does...Ch. 3 - Explain Heisenberg’s uncertainty principle. What...Ch. 3 - What is a trajectory? What kind of information do...Ch. 3 - Why does the uncertainty principle make it...Ch. 3 - Newton’s laws of motion are deterministic. Explain...Ch. 3 - An electron behaves in ways that are at least...Ch. 3 - What is a probability distribution map?Ch. 3 - For each solution to the Schrödinger equation,...Ch. 3 - What is a quantum-mechanical orbital?Ch. 3 - What is the Schrödinger equation? What is a wave...Ch. 3 - What are the possible values of the principal...Ch. 3 - What are the possible values of the angular...Ch. 3 - What are the possible values of the magnetic...Ch. 3 - Explain the difference between a plot showing the...Ch. 3 - Sketch the general shapes of the s, p, and d...Ch. 3 - List the four different sublevels. Given that only...Ch. 3 - Why are atoms usually portrayed as spheres when...Ch. 3 - The distance from the sun to Earth is 1.496108 km....Ch. 3 - The nearest star to our sun is Proxima Centauri,...Ch. 3 - List these types of electromagnetic radiation in...Ch. 3 - List these types of electromagnetic radiation in...Ch. 3 - Calculate the frequency of each wavelength of...Ch. 3 - Calculate the wavelength of each frequency of...Ch. 3 - Calculate the energy of a photon of...Ch. 3 - Calculate the energy of a photon of...Ch. 3 - A laser pulse with wavelength 532 nm contains 3.85...Ch. 3 - A heat lamp produces 32.8 watts of power at a...Ch. 3 - Determine the energy of 1 mol of photons for each...Ch. 3 - How much energy is contained in 1 mol of each?...Ch. 3 - Sketch the interference pattern that results from...Ch. 3 - What happens to the interference pattern described...Ch. 3 - The resolution limit of a microscope is roughly...Ch. 3 - The smallest atoms can themselves exhibit...Ch. 3 - What is the de Broglie wavelength of an electron...Ch. 3 - A proton in a linear accelerator has a de Broglie...Ch. 3 - Prob. 53ECh. 3 - A 0.22-caliber handgun fires a 27-g bullet at a...Ch. 3 - An electron has an uncertainty in its position of...Ch. 3 - An electron traveling at [1.35 \times {10^5}\] m/s...Ch. 3 - Which electron is, on average, closer to the...Ch. 3 - Which electron is, on average, further from the...Ch. 3 - What are the possible values of I for each given...Ch. 3 - What are the possible values of m1 for each given...Ch. 3 - Which set of quantum numbers cannot occur together...Ch. 3 - Which combinations of n and I represent real...Ch. 3 - Prob. 63ECh. 3 - Sketch the 3d orbitals. How do the 4d orbitals...Ch. 3 - An electron in a hydrogen atom is excited with...Ch. 3 - Determine whether each transition in the hydrogen...Ch. 3 - According to the quantum-mechanical model for the...Ch. 3 - According to the quantum-mechanical model for the...Ch. 3 - Calculate the wavelength of the light emitted when...Ch. 3 - Calculate the frequency of the light emitted when...Ch. 3 - Prob. 71ECh. 3 - An electron in a hydrogen atom relaxes to the [n =...Ch. 3 - Ultraviolet radiation and radiation of shorter...Ch. 3 - The human eye contains a molecule called...Ch. 3 - An argon ion laser puts out 5.0 W of continuous...Ch. 3 - A green leaf has a surface area of 2.50 cm2. If...Ch. 3 - Prob. 77ECh. 3 - An X-ray photon of wavelength 0.989 nm strikes a...Ch. 3 - Prob. 79ECh. 3 - The energy required to ionize sodium is 496...Ch. 3 - Prob. 81ECh. 3 - Suppose that, in an alternate universe, the...Ch. 3 - Prob. 83ECh. 3 - Prob. 84ECh. 3 - The binding energy of electrons in a metal is 193...Ch. 3 - In order for a thermonuclear fusion reaction of...Ch. 3 - Prob. 87ECh. 3 - Prob. 88ECh. 3 - The iodine molecule can be photodissociated...Ch. 3 - A sample of naphthalene in hexane contains 5.00104...Ch. 3 - Prob. 91ECh. 3 - Prob. 92ECh. 3 - Prob. 93ECh. 3 - The energy of a vibrating molecule is quantized...Ch. 3 - The wave functions for the 1s and 2s orbitals are...Ch. 3 - Before quantum mechanics was developed, Johannes...Ch. 3 - Find the velocity of an electron emitted by a...Ch. 3 - Water is exposed to infrared radiation of...Ch. 3 - Prob. 99ECh. 3 - A metal with a threshold frequency of 6.711014s1...Ch. 3 - Find the longest wavelength of a wave that can...Ch. 3 - The amount of heat to melt ice is 0.333 kJ/g. 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