CHEMISTRY (LL) W/CNCT >BI<
13th Edition
ISBN: 9781260572384
Author: Chang
Publisher: MCG
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Textbook Question
Chapter 7, Problem 7.152QP
The wave function for the 2s orbital in the hydrogen atom is
where a0 is the value of the radius of the first Bohr orbit, equal to 0.529 nm, ρ is Z(r/a0), and r is the distance from the nucleus in meters. Calculate the location of the node of the 2s wave function from the nucleus.
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Chapter 7 Solutions
CHEMISTRY (LL) W/CNCT >BI<
Ch. 7.1 - What is the wavelength (in meters) of an...Ch. 7.1 - Which of the waves (a)(c) has (i) the highest...Ch. 7.1 - Why is radiation only in the UV but not the...Ch. 7.2 - The energy of a photon is 5.87 1020 J. What is...Ch. 7.2 - The work function of titanium metal is 6.93 1019...Ch. 7.2 - A photon has a frequency of 7.25 1014 s1....Ch. 7.2 - What is the wavelength (in nm) of a photon with...Ch. 7.2 - A clean metal surface is irradiated with light of...Ch. 7.3 - What is the wavelength (in nanometers) of a photon...Ch. 7.3 - Which transition in the hydrogen atom would emit...
Ch. 7.3 - What is the energy of an electron in the n = 4...Ch. 7.3 - What is the wavelength (in nm) of a photon emitted...Ch. 7.4 - Calculate the wavelength (in nanometers) of a H...Ch. 7.4 - Which quantity in Equation (7.8) is responsible...Ch. 7.4 - What is the wavelength (in nm) of a neutron...Ch. 7.5 - Estimate the uncertainty in the speed of an oxygen...Ch. 7.5 - What is the difference between and 2 for the...Ch. 7.5 - A proton is moving at a speed of 6.0 106 m/s. If...Ch. 7.6 - What are the allowed values for m when n = 5 and ...Ch. 7.6 - What are the allowed values of when n = 3?Ch. 7.6 - Give the four quantum numbers for each of the two...Ch. 7.7 - Give the values of the quantum numbers associated...Ch. 7.7 - What is the total number of orbitals associated...Ch. 7.7 - Why is it not possible to have a 2d orbital, but a...Ch. 7.7 - What are the n, , and m values for orbitals in the...Ch. 7.7 - How many orbitals are there in the 5f subshell?Ch. 7.8 - Write the four quantum numbers for an electron in...Ch. 7.8 - Prob. 11PECh. 7.8 - Write a complete set of quantum numbers for each...Ch. 7.8 - The ground-state electron configuration of an atom...Ch. 7.8 - Determine the maximum number of electrons that can...Ch. 7.8 - Identify the error in each of the following sets...Ch. 7.9 - Prob. 13PECh. 7.9 - What element is represented by the following...Ch. 7.9 - Identify the element that has the following...Ch. 7.9 - Write the electron configuration for an atom of...Ch. 7 - What is a wave? Explain the following terms...Ch. 7 - What are the units for wavelength and frequency of...Ch. 7 - List the types of electromagnetic radiation,...Ch. 7 - Give the high and low wavelength values that...Ch. 7 - Briefly explain Plancks quantum theory and explain...Ch. 7 - Prob. 7.6QPCh. 7 - (a) What is the wavelength (in nm) of light having...Ch. 7 - (a) What is the frequency of light having a...Ch. 7 - Prob. 7.9QPCh. 7 - How many minutes would it take a radio wave to...Ch. 7 - The SI unit of time is the second, which is...Ch. 7 - Prob. 7.12QPCh. 7 - What are photons? What role did Einsteins...Ch. 7 - Consider the plots shown here for the...Ch. 7 - A photon has a wavelength of 624 nm. Calculate the...Ch. 7 - The blue color of the sky results from the...Ch. 7 - A photon has a frequency of 6.0 104 Hz. (a)...Ch. 7 - What is the wavelength, in nm, of radiation that...Ch. 7 - When copper is bombarded with high-energy...Ch. 7 - A particular form of electromagnetic radiation has...Ch. 7 - The work function of potassium is 3.68 1019 J....Ch. 7 - When light of frequency equal to 2.11 1015 s1...Ch. 7 - (a) What is an energy level? Explain the...Ch. 7 - Prob. 7.24QPCh. 7 - Explain why elements produce their own...Ch. 7 - Prob. 7.26QPCh. 7 - Prob. 7.27QPCh. 7 - Explain how astronomers are able to tell which...Ch. 7 - Consider the following energy levels of a...Ch. 7 - Prob. 7.30QPCh. 7 - Calculate the wavelength (in nm) of a photon...Ch. 7 - Calculate the frequency (Hz) and wavelength (nm)...Ch. 7 - Prob. 7.33QPCh. 7 - An electron in the hydrogen atom makes a...Ch. 7 - Explain the statement, Matter and radiation have a...Ch. 7 - How does de Broglies hypothesis account for the...Ch. 7 - Why is Equation (7.8) meaningful only for...Ch. 7 - (a) If a H atom and a He atom are traveling at the...Ch. 7 - Prob. 7.39QPCh. 7 - Protons can be accelerated to speeds near that of...Ch. 7 - What is the de Broglie wavelength, in centimeters,...Ch. 7 - What is the de Broglie wavelength (in nm)...Ch. 7 - What are the inadequacies of Bohrs theory?Ch. 7 - What is the Heisenberg uncertainty principle? What...Ch. 7 - Prob. 7.45QPCh. 7 - How is the concept of electron density used to...Ch. 7 - Prob. 7.47QPCh. 7 - Which quantum number defines a shell? Which...Ch. 7 - Which of the following orbitals do not exist: 1p,...Ch. 7 - Which of the four quantum numbers (n, , m, ms)...Ch. 7 - Prob. 7.51QPCh. 7 - An electron in an atom is in the n = 3 quantum...Ch. 7 - Give the values of the quantum numbers associated...Ch. 7 - Give the values of the four quantum numbers of an...Ch. 7 - Prob. 7.55QPCh. 7 - List all the possible subshells and orbitals...Ch. 7 - What is an atomic orbital? How does an atomic...Ch. 7 - Describe the shapes of s, p, and d orbitals. How...Ch. 7 - List the hydrogen orbitals in increasing order of...Ch. 7 - Why is a boundary surface diagram useful in...Ch. 7 - Prob. 7.61QPCh. 7 - What is the difference between a 2px and a 2py...Ch. 7 - Calculate the total number of electrons that can...Ch. 7 - Prob. 7.64QPCh. 7 - Prob. 7.65QPCh. 7 - Indicate the total number of (a) p electrons in N...Ch. 7 - Make a chart of all allowable orbitals in the...Ch. 7 - Why do the 3s, 3p, and 3d orbitals have the same...Ch. 7 - For each of the following pairs of hydrogen...Ch. 7 - Which orbital in each of the following pairs is...Ch. 7 - What is electron configuration? Describe the roles...Ch. 7 - Prob. 7.72QPCh. 7 - Prob. 7.73QPCh. 7 - What is meant by the term shielding of electrons...Ch. 7 - Indicate which of the following sets of quantum...Ch. 7 - The ground-state electron configurations listed...Ch. 7 - The atomic number of an element is 73. Is this...Ch. 7 - Indicate the number of unpaired electrons present...Ch. 7 - State the Aufbau principle and explain the role it...Ch. 7 - Prob. 7.80QPCh. 7 - What is the noble gas core? How does it simplify...Ch. 7 - What are the group and period of the element...Ch. 7 - Prob. 7.83QPCh. 7 - Explain why the ground-state electron...Ch. 7 - Prob. 7.85QPCh. 7 - Comment on the correctness of the following...Ch. 7 - Prob. 7.87QPCh. 7 - Use the Aufbau principle to obtain the...Ch. 7 - Prob. 7.89QPCh. 7 - Prob. 7.90QPCh. 7 - The electron configuration of a neutral atom is...Ch. 7 - Which of the following species has the most...Ch. 7 - A sample tube consisted of atomic hydrogens in...Ch. 7 - A laser produces a beam of light with a wavelength...Ch. 7 - When a compound containing cesium ion is heated in...Ch. 7 - Prob. 7.96QPCh. 7 - Prob. 7.97QPCh. 7 - Prob. 7.98QPCh. 7 - Identify the following individuals and their...Ch. 7 - What properties of electrons are used in the...Ch. 7 - A certain pitchers fastballs have been clocked at...Ch. 7 - A student carried out a photoelectric experiment...Ch. 7 - (a) What is the lowest possible value of the...Ch. 7 - Considering only the ground-state electron...Ch. 7 - A ruby laser produces radiation of wavelength 633...Ch. 7 - A 368-g sample of water absorbs infrared radiation...Ch. 7 - Photodissociation of water H2O(l)+hvH2(g)+12O2(g)...Ch. 7 - Prob. 7.109QPCh. 7 - An atom moving at its root-mean-square speed at...Ch. 7 - Prob. 7.111QPCh. 7 - The He+ ion contains only one electron and is...Ch. 7 - Ozone (O3) in the stratosphere absorbs the harmful...Ch. 7 - The retina of a human eye can detect light when...Ch. 7 - A helium atom and a xenon atom have the same...Ch. 7 - Prob. 7.116QPCh. 7 - Prob. 7.117QPCh. 7 - A photoelectric experiment was performed by...Ch. 7 - Draw the shapes (boundary surfaces) of the...Ch. 7 - The electron configurations described in this...Ch. 7 - Draw orbital diagrams for atoms with the following...Ch. 7 - Prob. 7.122QPCh. 7 - Scientists have found interstellar hydrogen atoms...Ch. 7 - Prob. 7.124QPCh. 7 - Ionization energy is the minimum energy required...Ch. 7 - An electron in a hydrogen atom is excited from the...Ch. 7 - Prob. 7.127QPCh. 7 - Prob. 7.128QPCh. 7 - Prob. 7.129QPCh. 7 - Shown are portions of orbital diagrams...Ch. 7 - The UV light that is responsible for tanning the...Ch. 7 - The sun is surrounded by a white circle of gaseous...Ch. 7 - Prob. 7.133QPCh. 7 - Prob. 7.134QPCh. 7 - Prob. 7.135QPCh. 7 - In an electron microscope, electrons are...Ch. 7 - Prob. 7.137QPCh. 7 - The radioactive Co-60 isotope is used in nuclear...Ch. 7 - (a) An electron in the ground state of the...Ch. 7 - One wavelength in the hydrogen emission spectrum...Ch. 7 - Owls have good night vision because their eyes can...Ch. 7 - For hydrogenlike ions, that is, ions containing...Ch. 7 - When two atoms collide, some of their kinetic...Ch. 7 - Calculate the energies needed to remove an...Ch. 7 - The de Broglie wavelength of an accelerating...Ch. 7 - The minimum uncertainty in the position of a...Ch. 7 - According to Einsteins special theory of...Ch. 7 - The mathematical equation for studying the...Ch. 7 - In the beginning of the twentieth century, some...Ch. 7 - Blackbody radiation is the term used to describe...Ch. 7 - Prob. 7.151QPCh. 7 - The wave function for the 2s orbital in the...Ch. 7 - A student placed a large unwrapped chocolate bar...Ch. 7 - The wave properties of matter can generally be...Ch. 7 - Atoms of an element have only two accessible...Ch. 7 - Prob. 7.156QPCh. 7 - Only a fraction of the electrical energy supplied...Ch. 7 - Prob. 7.158QPCh. 7 - A typical red laser pointer has a power of 5 mW....Ch. 7 - Referring to the Chemistry in Action essay Quantum...
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