Explanation Given: A laser with v = 4 .35 × 10 14 s -1 Photons with E = 43 kJ mol Electromagnetic radiation with v = 706 THz The germanium photodetector only detects the light sources that have a wavelength between 400 – 1700 nm . Formula used: E = N A hv where E is the energy emitted or absorbed, N A is the Avogadro’s number ( 6 .02×10 23 particles/mol ), h is the Planck’s constant ( 6 .626 × 10 -37 kJ s ) and v is the frequency. λ = c v → v = c λ where λ is the wavelength, c is the speed of light ( 3 × 10 8 m/s ) and v is the frequency. So that, E = N A h c λ Calculation: Calculate λ λ = 3 x 10 8 m s 4 .35 x 10 14 s -1 = 6 .897 x 10 -7 m Convert m to nm λ = 6 .897 × 10 -7 m × 10 9 nm 1 m = 689 .7 nm This λ is between 400 – 1700 nm so that this light source is detected by the germanium photodetector. Calculate λ 43 kJ mol = 6 .02 ×10 23 photons mol × 6 .626 × 10 -37 kJ s × 3 × 10 8 m/s λ 43 kJ mol = 1

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Quantum Chemistry

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Chapter 5, Problem 5.51SP

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If the given light sources will be detected by the germanium photodetector.

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Chapter 5, Problem 5.50SP

Chapter 5, Problem 5.52SP

Chapter 5 Solutions

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Ch. 5 - What is the wavelength in meters of an FM radio...Ch. 5 - Conceptual APPLY 5.2 Two electromagnetic waves are...Ch. 5 - PRACTICE 5.3 The biological effects of a given...Ch. 5 - Prob. 5.4A Ch. 5 - Prob. 5.5P Ch. 5 - Conceptual APPLY 5.6 Compare the two elements Rb...Ch. 5 - PRACTICE 5.7 The Balmer equation can be extended...Ch. 5 - APPLY 5.8 (a) What is the longest-wavelength line...Ch. 5 - Prob. 5.9P Ch. 5 - Prob. 5.10A

Ch. 5 - Give the or bital notation for an electron in an...Ch. 5 - APPLY 5.10 Extend Table 5.2 to show allowed...Ch. 5 - Conceptual PRACTICE 5.13 Give a possible...Ch. 5 - Conceptual APPLY 5.14 How many nodal planes...Ch. 5 - Give the expected ground state electron...Ch. 5 - Conceptual APPLY 5.16 Identify the atoms with the...Ch. 5 - Order the atoms from smallest to largest: Cs,...Ch. 5 - APPLY 5.18 Predict which bond length will be the...Ch. 5 - What percentage of electrical energy is converted...Ch. 5 - Prob. 5.20P Ch. 5 - (a) How is the emission spectrum from the...Ch. 5 - PROBLEM 5.19 Mercury vapor is contained inside the...Ch. 5 - PROBLEM 5.20 When electricity is used to add...Ch. 5 - Atomic emission spectra arise from electron...Ch. 5 - PROBLEM 5.22 Three different wavelengths in the...Ch. 5 - Two electromagnetic waves are represented below....Ch. 5 - The following diagram shows the energy levels of...Ch. 5 - Identify each of the following orbitals, and give...Ch. 5 - Where on the blank outline of the periodic table...Ch. 5 - One of the elements shown on the following...Ch. 5 - What atom has the following orbital-filling...Ch. 5 - The following orbital-filling diagram represents...Ch. 5 - Prob. 5.33CP Ch. 5 - Which has the higher frequency, red light or...Ch. 5 - Prob. 5.35SP Ch. 5 - The Hubble Space Telescope detects electromagnetic...Ch. 5 - Prob. 5.37SP Ch. 5 - What is the wavelength in meters of ultraviolet...Ch. 5 - What is the frequency of a microwave with...Ch. 5 - A certain cellular telephone transmits at a...Ch. 5 - Optical fibers allow the fast transmission of vast...Ch. 5 - Calculate the energies of the following waves in...Ch. 5 - The magnetic resonance imaging (MRI) body scanners...Ch. 5 - What is the wavelength in meters of photons with...Ch. 5 - What is the energy of each of the following...Ch. 5 - You’re probably familiar with using Scotch rape...Ch. 5 - Hard wintergreen-flavored candies are...Ch. 5 - Prob. 5.48SP Ch. 5 - Photochromic sunglasses, which darken when exposed...Ch. 5 - Prob. 5.50SP Ch. 5 - Prob. 5.51SP Ch. 5 - The work function of cesium metal is 188 kJ/mol,...Ch. 5 - Prob. 5.53SP Ch. 5 - The work function of silver metal is 436 kJ/mol....Ch. 5 - Cesium metal is frequently used in photoelectric...Ch. 5 - Spectroscopy is a technique that uses the...Ch. 5 - Prob. 5.57SP Ch. 5 - According to the equation for the Balmer line...Ch. 5 - According to the equation for the Balmer line...Ch. 5 - Calculate the wavelength and energy in kilojoules...Ch. 5 - Calculate the wavelength and energy in kilojoules...Ch. 5 - One series of lines of the hydrogen spectrum is...Ch. 5 - One series of lines of the hydrogen spectrum is...Ch. 5 - Use the Balmer equation to calculate the...Ch. 5 - Prob. 5.65SP Ch. 5 - Protons and electrons can be given very high...Ch. 5 - What is the wavelength in meters of a proton...Ch. 5 - What is the de Broglie wavelength in meters of a...Ch. 5 - What is the de Brogue wavelength in meters of a...Ch. 5 - At what speed in meters per second must a 145 g...Ch. 5 - What velocity would an electron (mass=9.111031kg)...Ch. 5 - Use the Heisenberg uncertainty principle to...Ch. 5 - The mass of a helium atom is 40026 amu, and its...Ch. 5 - What is the Heisenberg uncertainty principle, and...Ch. 5 - Why do we have to use an arbitrary value such as...Ch. 5 - What are the four quantum numbers, and what does...Ch. 5 - Tell which of the following combinations of...Ch. 5 - Give the allowable combinations of quantum numbers...Ch. 5 - Give the orbital designations of electrons with...Ch. 5 - Which of the following combinations of quantum...Ch. 5 - Which of the following combinations of quantum...Ch. 5 - What is the maximum number of electrons in an atom...Ch. 5 - What is the maximum number of electrons in an atom...Ch. 5 - Sodium atoms emit light with a wavelength of 330...Ch. 5 - Prob. 5.85SP Ch. 5 - Prob. 5.86SP Ch. 5 - Assign a set of four quantum numbers to each...Ch. 5 - Assign a set of four quantum numbers for the outer...Ch. 5 - Which of the following is a valid set of four...Ch. 5 - Prob. 5.90SP Ch. 5 - Prob. 5.91SP Ch. 5 - Prob. 5.92SP Ch. 5 - Prob. 5.93SP Ch. 5 - Prob. 5.94SP Ch. 5 - Prob. 5.95SP Ch. 5 - Order the electrons in the following orbitals...Ch. 5 - Order the following elements according to...Ch. 5 - Prob. 5.98SP Ch. 5 - Prob. 5.99SP Ch. 5 - Which orbital in each of the following pairs is...Ch. 5 - Order the orbitals for a multi electron atom in...Ch. 5 - According to the aufbau principle, which orbital...Ch. 5 - According to the autbau principle, which orbital...Ch. 5 - Give the expected ground-state electron...Ch. 5 - Give the expected ground-state electron...Ch. 5 - Draw orbital-filling diagrams for the following...Ch. 5 - Draw orbital-filling diagrams for atoms with the...Ch. 5 - How many unpaired electrons are present in each of...Ch. 5 - Identify the following atoms. (a) It has the...Ch. 5 - Prob. 5.110SP Ch. 5 - Given the sub shells 1s, 2s, 2p, 3s, 3p and 3d,...Ch. 5 - Prob. 5.112SP Ch. 5 - Prob. 5.113SP Ch. 5 - Take a guess. What do you think is a likely...Ch. 5 - Take a guess. What is a likely ground-state...Ch. 5 - Prob. 5.116SP Ch. 5 - Prob. 5.117SP Ch. 5 - Prob. 5.118SP Ch. 5 - Prob. 5.119SP Ch. 5 - Prob. 5.120SP Ch. 5 - Prob. 5.121SP Ch. 5 - Prob. 5.122SP Ch. 5 - Which atom in each of the following pairs has a...Ch. 5 - Orbital energies in single-electron atoms or ions,...Ch. 5 - Like He+ , the Li2+ ion is a single-electron...Ch. 5 - Prob. 5.126MP Ch. 5 - Draw orbital-filling diagrams for the following...Ch. 5 - The atomic radii of Y (180 pm) and Li (187 pm) are...Ch. 5 - Prob. 5.129MP Ch. 5 - Prob. 5.130MP Ch. 5 - Prob. 5.131MP Ch. 5 - The amount of energy necessary to remove an...Ch. 5 - Prob. 5.133MP Ch. 5 - Prob. 5.134MP Ch. 5 - Prob. 5.135MP Ch. 5 - A minimum energy of 7.211019J is required to...Ch. 5 - Prob. 5.137MP Ch. 5 - An energetically excited hydrogen atom has its...Ch. 5 - Prob. 5.139MP

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If the given light sources will be detected by the germanium photodetector.

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To determine: If the given light sources will be detected by the germanium photodetector.

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Chapter 5 Solutions

To determine:

If the given light sources will be detected by the germanium photodetector.