Chemistry: Atoms First
2nd Edition
ISBN: 9780073511184
Author: Julia Burdge, Jason Overby Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 3, Problem 3.74QP
Which of the four quantum numbers (n, ℓ, mℓ, ms) determine (a) the energy of an electron in a hydrogen atom and in a many-electron atom, (b) the size of an orbital, (c) the shape of an orbital, (d) the orientation of an orbital in space?
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Chapter 3 Solutions
Chemistry: Atoms First
Ch. 3.1 - Calculate the kinetic energy of a helium atom...Ch. 3.1 - Calculate the energy in joules of a 5.25-g object...Ch. 3.1 - Prob. 1PPBCh. 3.1 - Prob. 1PPCCh. 3.1 - Prob. 3.2WECh. 3.1 - How much greater is the electrostatic potential...Ch. 3.1 - What must the separation between charges of +2 and...Ch. 3.1 - Prob. 2PPCCh. 3.1 - Prob. 3.1.1SRCh. 3.1 - Prob. 3.1.2SR
Ch. 3.1 - Prob. 3.1.3SRCh. 3.2 - One type of laser used in the treatment of...Ch. 3.2 - What is the wavelength (in meters) of an...Ch. 3.2 - What is the frequency (in reciprocal seconds) of...Ch. 3.2 - Which of the following sets of waves best...Ch. 3.2 - Prob. 3.2.1SRCh. 3.2 - Prob. 3.2.2SRCh. 3.2 - Prob. 3.2.3SRCh. 3.2 - Prob. 3.2.4SRCh. 3.3 - Calculate the energy (in joules) of (a) a photon...Ch. 3.3 - Calculate the energy (in joules) of (a) a photon...Ch. 3.3 - (a) Calculate the wavelength (in nanometers) of...Ch. 3.3 - Prob. 3.3.1SRCh. 3.3 - Prob. 3.3.2SRCh. 3.3 - Prob. 3.3.3SRCh. 3.3 - Prob. 3.3.4SRCh. 3.3 - Prob. 3.3.5SRCh. 3.4 - Calculate the wavelength (in nanometers) of the...Ch. 3.4 - What is the wavelength (in nanometers) of a photon...Ch. 3.4 - What is the value of ni for an electron that emits...Ch. 3.4 - For each pair of transitions, determine which one...Ch. 3.4 - Prob. 3.4.1SRCh. 3.4 - Prob. 3.4.2SRCh. 3.4 - Prob. 3.4.3SRCh. 3.4 - Prob. 3.4.4SRCh. 3.5 - Calculate the de Broglie wavelength of the...Ch. 3.5 - Calculate the de Broglie wavelength (in...Ch. 3.5 - Use Equation 3.11 to calculate the momentum, p...Ch. 3.5 - Consider the impact of early electron diffraction...Ch. 3.5 - Prob. 3.5.1SRCh. 3.5 - Prob. 3.5.2SRCh. 3.5 - Prob. 3.5.3SRCh. 3.6 - An electron in a hydrogen atom is known to have a...Ch. 3.6 - Prob. 7PPACh. 3.6 - (a) Calculate the minimum uncertainty in the...Ch. 3.6 - Using Equation 3.13, we can calculate the minimum...Ch. 3.6 - Prob. 3.6.1SRCh. 3.6 - Prob. 3.6.2SRCh. 3.7 - What are the possible values for the magnetic...Ch. 3.7 - Prob. 8PPACh. 3.7 - Prob. 8PPBCh. 3.7 - Prob. 8PPCCh. 3.7 - Prob. 3.7.1SRCh. 3.7 - Prob. 3.7.2SRCh. 3.7 - Prob. 3.7.3SRCh. 3.7 - Prob. 3.7.4SRCh. 3.8 - Prob. 3.9WECh. 3.8 - Prob. 9PPACh. 3.8 - Prob. 9PPBCh. 3.8 - Prob. 9PPCCh. 3.8 - Prob. 3.8.1SRCh. 3.8 - Prob. 3.8.2SRCh. 3.8 - Prob. 3.8.3SRCh. 3.8 - Prob. 3.8.4SRCh. 3.9 - Write the electron configuration and give the...Ch. 3.9 - Prob. 10PPACh. 3.9 - Write the electron configuration and give the...Ch. 3.9 - Prob. 10PPCCh. 3.9 - Prob. 3.9.1SRCh. 3.9 - Prob. 3.9.2SRCh. 3.9 - Prob. 3.9.3SRCh. 3.10 - Without referring to Figure 3.26, write the...Ch. 3.10 - Prob. 11PPACh. 3.10 - Prob. 11PPBCh. 3.10 - Consider again the alternate universe and its...Ch. 3.10 - Prob. 3.10.1SRCh. 3.10 - Prob. 3.10.2SRCh. 3.10 - Prob. 3.10.3SRCh. 3.10 - Prob. 3.10.4SRCh. 3 - Define these terms: potential energy, kinetic...Ch. 3 - What are the units for energy commonly employed in...Ch. 3 - A truck initially traveling at 60 km/h is brought...Ch. 3 - Describe the interconversions of forms of energy...Ch. 3 - Prob. 3.5QPCh. 3 - Prob. 3.6QPCh. 3 - Prob. 3.7QPCh. 3 - Prob. 3.8QPCh. 3 - Prob. 3.9QPCh. 3 - (a) How much greater is the electrostatic energy...Ch. 3 - Prob. 3.11QPCh. 3 - Prob. 3.12QPCh. 3 - List the types of electromagnetic radiation,...Ch. 3 - Prob. 3.14QPCh. 3 - Prob. 3.15QPCh. 3 - Prob. 3.16QPCh. 3 - The SI unit of time is the second, which is...Ch. 3 - Prob. 3.18QPCh. 3 - Prob. 3.19QPCh. 3 - Four waves represent light in four different...Ch. 3 - Prob. 3.21QPCh. 3 - Prob. 3.22QPCh. 3 - Prob. 3.23QPCh. 3 - What is a photon? What role did Einsteins...Ch. 3 - A photon has a wavelength of 705 nm. Calculate the...Ch. 3 - The blue color of the sky results from the...Ch. 3 - A photon has a frequency of 6.5 109 Hz. (a)...Ch. 3 - Prob. 3.28QPCh. 3 - Prob. 3.29QPCh. 3 - Prob. 3.30QPCh. 3 - Prob. 3.31QPCh. 3 - A particular form of electromagnetic radiation has...Ch. 3 - Photosynthesis makes use of visible light to bring...Ch. 3 - The retina of a human eye can detect light when...Ch. 3 - Prob. 3.35QPCh. 3 - The binding energy of magnesium metal is 5.86 ...Ch. 3 - What is the kinetic energy of the ejected electron...Ch. 3 - A red light was shined onto a metal sample and the...Ch. 3 - A photoelectric experiment was performed by...Ch. 3 - Which of the following best explains why we see...Ch. 3 - One way to see the emission spectrum of hydrogen...Ch. 3 - How many lines would we see in the emission...Ch. 3 - For a hydrogen atom in which the electron has been...Ch. 3 - Prob. 3.40QPCh. 3 - Prob. 3.41QPCh. 3 - Briefly describe Bohrs theory of the hydrogen atom...Ch. 3 - Explain the meaning of the negative sign in...Ch. 3 - Consider the following energy levels of a...Ch. 3 - Prob. 3.45QPCh. 3 - Calculate the wavelength (in nanometers) of a...Ch. 3 - Calculate the frequency (hertz) and wavelength...Ch. 3 - What wavelength of light is needed to excite the...Ch. 3 - An electron in the hydrogen atom makes a...Ch. 3 - Explain why elements produce their own...Ch. 3 - Some copper-containing substances emit green light...Ch. 3 - Prob. 3.52QPCh. 3 - Prob. 3.53QPCh. 3 - Prob. 3.54QPCh. 3 - Why is Equation 3.11 meaningful only for...Ch. 3 - Prob. 3.56QPCh. 3 - Thermal neutrons are neutrons that move at speeds...Ch. 3 - Protons can be accelerated to speeds near that of...Ch. 3 - Prob. 3.59QPCh. 3 - Prob. 3.60QPCh. 3 - Prob. 3.61QPCh. 3 - Prob. 3.62QPCh. 3 - What are the inadequacies of Bohrs theory?Ch. 3 - What is the Heisenberg uncertainty principle? What...Ch. 3 - Prob. 3.65QPCh. 3 - Prob. 3.66QPCh. 3 - Prob. 3.67QPCh. 3 - The speed of a thermal neutron (see Problem 3.57)...Ch. 3 - Alveoli are tiny sacs of air in the lungs. Their...Ch. 3 - In the beginning of the twentieth century, some...Ch. 3 - Suppose that photons of blue light (430 nm) are...Ch. 3 - Prob. 3.72QPCh. 3 - Prob. 3.73QPCh. 3 - Which of the four quantum numbers (n, , m, ms)...Ch. 3 - Prob. 3.75QPCh. 3 - Prob. 3.76QPCh. 3 - Prob. 3.77QPCh. 3 - Prob. 3.78QPCh. 3 - Describe the shapes of s, p, and d orbitals. How...Ch. 3 - Prob. 3.80QPCh. 3 - Describe the characteristics of an s orbital, p...Ch. 3 - Why is a boundary surface diagram useful in...Ch. 3 - Prob. 3.83QPCh. 3 - Give the values of the four quantum numbers of an...Ch. 3 - Describe how a 1s orbital and a 2s orbital are...Ch. 3 - Prob. 3.86QPCh. 3 - Prob. 3.87QPCh. 3 - Make a chart of all allowable orbitals in the...Ch. 3 - Prob. 3.89QPCh. 3 - Prob. 3.90QPCh. 3 - A 3s orbital is illustrated here. Using this as a...Ch. 3 - Prob. 3.92QPCh. 3 - Prob. 3.93QPCh. 3 - State the Aufbau principle, and explain the role...Ch. 3 - Indicate the total number of (a) p electrons in N...Ch. 3 - Calculate the total number of electrons that can...Ch. 3 - Determine the total number of electrons that can...Ch. 3 - Determine the maximum number of electrons that can...Ch. 3 - Prob. 3.99QPCh. 3 - The electron configuration of an atom in the...Ch. 3 - List the following atoms in order of increasing...Ch. 3 - Determine the number of unpaired electrons in each...Ch. 3 - Determine the number of impaired electrons in each...Ch. 3 - Determine the number of unpaired electrons in each...Ch. 3 - Prob. 3.105QPCh. 3 - Portions of orbital diagrams representing the...Ch. 3 - Prob. 3.107QPCh. 3 - Prob. 3.108QPCh. 3 - Prob. 3.109QPCh. 3 - Define the following terms and give an example of...Ch. 3 - Explain why the ground-state electron...Ch. 3 - Write the election configuration of a xenon core.Ch. 3 - Comment on the correctness of the following...Ch. 3 - Prob. 3.114QPCh. 3 - Prob. 3.115QPCh. 3 - Write the ground-state electron configurations for...Ch. 3 - Write the ground-state electron configurations for...Ch. 3 - What is the symbol of the element with the...Ch. 3 - Prob. 3.119QPCh. 3 - Prob. 3.120QPCh. 3 - Discuss the current view of the correctness of the...Ch. 3 - Distinguish carefully between the following terms:...Ch. 3 - What is the maximum number of electrons in an atom...Ch. 3 - Prob. 3.124QPCh. 3 - Prob. 3.125QPCh. 3 - A baseball pitchers fastball has been clocked at...Ch. 3 - A ruby laser produces radiation of wavelength 633...Ch. 3 - Four atomic energy levels of an atom are shown...Ch. 3 - Prob. 3.129QPCh. 3 - Spectral lines of the Lyman and Balmer series do...Ch. 3 - Only a fraction of the electric energy supplied to...Ch. 3 - The figure here illustrates a series of...Ch. 3 - When one of heliums electrons is removed, the...Ch. 3 - The retina of a human eye can detect light when...Ch. 3 - An electron in an excited state in a hydrogen atom...Ch. 3 - Prob. 3.136QPCh. 3 - The election configurations described in this...Ch. 3 - Draw the shapes (boundary surfaces) of the...Ch. 3 - Prob. 3.139QPCh. 3 - Consider the graph here. (a) Calculate the binding...Ch. 3 - Scientists have found interstellar hydrogen atoms...Ch. 3 - Ionization energy is the minimum energy required...Ch. 3 - Prob. 3.143QPCh. 3 - Prob. 3.144QPCh. 3 - The cone cells of the human eye are sensitive to...Ch. 3 - (a) An electron in the ground state of the...Ch. 3 - Prob. 3.147QPCh. 3 - Prob. 3.148QPCh. 3 - When an election makes a transition between energy...Ch. 3 - Blackbody radiation is the term used to describe...Ch. 3 - Suppose that photons of red light (675 nm) are...Ch. 3 - In an election microscope, electrons are...Ch. 3 - According to Einsteins special theory of...Ch. 3 - The mathematical equation for studying the...
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- • identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forwardInvestigating 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.arrow_forwardHow many electrons in an atom can have the following quantum designation? (a) 1s (b) 4d, m l =0(c) n=5,l=2arrow_forward
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- According to a relationship developed by Niels Bohr, for an atom or ion that has a single electron, the total energy, En, of an electron in a stable orbit of quantum number n is En = [Z2/n2] (2.179 1018 J) where Z is the atomic number. Calculate the ionization energy for the electron in a ground-state He+ ion.arrow_forwardWhich of the following is a valid set of quantum numbers for an electron in a hydrogen atom? (a) n = 1, = 0, m = 0, ms = 1 (b) n = 1, = 1, m = 0, ms = 1/2 (c) n = 1, = 0, m = 1, ms = + 1/2 (d) n = 1, = 0, m = 0, ms = 1/2arrow_forward6.32 What are the mathematical origins of quantum numbers?arrow_forward
- An FM radio station broadcasts at a frequency of 101.3 MHz. What is the wavelength, in meters and nanometers, of this radiation?arrow_forward6.96 When a helium atom absorbs light at 58.44 nm, an electron is promoted from the 1s orbital to a 2p orbital. Given that the ionization energy of (ground state) helium is 2372 kJ/ mol, find the longest wavelength of light that could eject an electron from the excited state helium atom.arrow_forward(a) Which color in the visible spectrum has the highest frequency? Which has the lowest frequency? (b) Is the wavelength of the radiation used in a microwave oven (2.45 GHz) longer or shorter than that from your favorite FM radio station (for example, 91.7 MHz)? (c) Are the wavelengths of x-rays longer or shorter than those of ultraviolet light? (d) Calculate the frequency of green light with a wavelength of 510. nm.arrow_forward
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