Physical Chemistry
2nd Edition
ISBN: 9781285969770
Author: Ball
Publisher: Cengage
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Chapter 12, Problem 12.36E
In a particle-in-a-box having length
Calculate the average energy of a particle in terms of its mass
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Chapter 12 Solutions
Physical Chemistry
Ch. 12 - In the Stern-Gerlach experiment, silver atoms were...Ch. 12 - Prob. 12.2ECh. 12 - Prob. 12.3ECh. 12 - Suppose s=12 for an electron. Into how many parts...Ch. 12 - Using and labels, write two possible...Ch. 12 - List all possible combinations of all four quantum...Ch. 12 - What are the degeneracies of the H atom...Ch. 12 - Prob. 12.8ECh. 12 - a Differentiate between the quantum numbers s and...Ch. 12 - Is the spin orbital 1s for the H atom still...
Ch. 12 - Draw a diagram analogous to Figure 11.15, but now...Ch. 12 - Are mathematical expressions for the following...Ch. 12 - Prob. 12.13ECh. 12 - Prob. 12.14ECh. 12 - a Assume that the electronic energy of Li was a...Ch. 12 - Spin orbitals are products of spatial and spin...Ch. 12 - If 1 and 2 are the individual wavefunctions for...Ch. 12 - Show that the correct behavior of a wavefunction...Ch. 12 - Prob. 12.19ECh. 12 - Why isnt the electron configuration of beryllium,...Ch. 12 - Prob. 12.21ECh. 12 - Write a Slater determinant for the lithide ion,...Ch. 12 - Why does the concept of antisymmetric...Ch. 12 - a Construct Slater determinant wavefunctions for...Ch. 12 - Prob. 12.25ECh. 12 - Prob. 12.26ECh. 12 - Prob. 12.27ECh. 12 - Suppose an electron had three possible values of...Ch. 12 - Using a periodic table or Table 12.1, find the...Ch. 12 - Write an acceptable electron configuration for...Ch. 12 - Prob. 12.31ECh. 12 - Prob. 12.32ECh. 12 - Prob. 12.33ECh. 12 - An anharmonic oscillator has the potential...Ch. 12 - Prob. 12.35ECh. 12 - In a particle-in-a-box having length a, the...Ch. 12 - Prob. 12.37ECh. 12 - Prob. 12.38ECh. 12 - Prob. 12.39ECh. 12 - The Stark effect is the change in energy of a...Ch. 12 - Prob. 12.41ECh. 12 - Prob. 12.42ECh. 12 - Prob. 12.43ECh. 12 - Show that a variation theory treatment of H using...Ch. 12 - Prob. 12.45ECh. 12 - Explain why assuming an effective nuclear charge,...Ch. 12 - Prob. 12.47ECh. 12 - Consider a real system. Assume that a real...Ch. 12 - Prob. 12.49ECh. 12 - Prob. 12.50ECh. 12 - Prob. 12.51ECh. 12 - Prob. 12.52ECh. 12 - State the Born-Oppenheimer approximation in words...Ch. 12 - Prob. 12.54ECh. 12 - Spectroscopy deals with differences in energy...Ch. 12 - Prob. 12.56ECh. 12 - What is the bond order for the lowest excited...Ch. 12 - The helium atom was defined as two electrons and a...Ch. 12 - Explain how we know that the first in equation...Ch. 12 - Prob. 12.60ECh. 12 - Prob. 12.61ECh. 12 - Use molecular orbital arguments to decide whether...Ch. 12 - Prob. 12.63ECh. 12 - Prob. 12.65ECh. 12 - Prob. 12.67ECh. 12 - Prob. 12.68E
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- SH 0arrow_forward2. Please consider the two all 'cis' isomers of trimethylcyclohexane drawn below. Draw the two chair conformers of each stereoisomer below (1 and 2) and calculate their torsional interaction energies in order to identify the lower energy conformer for each stereoisomer. Based on your calculations, state which of the two stereoisomers 1 and 2 is less stable and which is more stable. [1,3-diaxial CH3 CH3 = 3.7kcal/mol; 1,3-diaxial CH3 H = 0.88kcal/mol; cis-1,2 (axial:equatorial) CH3 CH3 = 0.88kcal/mol; trans-1,2-diequatorial CH3 CH3 = 0.88kcal/mol) all-cis-1,2,3- 1 all-cis-1,2,4- 2arrow_forwardNonearrow_forward
- What is the mechanism by which the 1,4 product is created? Please draw it by hand with arrows and stuff.arrow_forwardWhat is the relationship between A and B? H3C A Br Cl H3C B Br relationship (check all that apply) O same molecule O enantiomer O diastereomer structural isomer O stereoisomer isomer O need more information to decide O same molecule ☐ enantiomer Br Br Br CH3 Br CI CH3 O diastereomer ☐ structural isomer ☐ stereoisomer isomer O need more information to decide O same molecule O enantiomer Odiastereomer structural isomer O stereoisomer ☐ isomer O need more information to decidearrow_forwardb. Please complete the zig-zag conformation of the compound (3R,4S)-3,4-dichloro-2,5-dimethylhexane by writing the respective atoms in the boxes. 4arrow_forward
- c. Serricornin, the female-produced sex pheromone of the cigarette beetle, has the following structure. OH What is the maximum number of possible stereoisomers? Is this structure a meso compound? d. Please consider the natural product alkaloids shown below. Are these two structures enantiomers, diastereomers or conformers? H HO H H HN HO HN R R с R=H cinchonidine R=ET cinchonine Harrow_forwardNail polish remover containing acetone was spilled in a room 5.23 m × 3.28 m × 2.76 m. Measurements indicated that 2,250 mg of acetone evaporated. Calculate the acetone concentration in micrograms per cubic meter.arrow_forwardPlease help me answer number 1. 1. If your graphs revealed a mathematical relationship between specific heat and atomic mass, write down an equation for the relationship. I also don't understand, is the equation from the line regression the one that I'm suppose use to show the relationship? If so could you work it all the way out?arrow_forward
- Describe the principle of resonance and give a set of Lewis Structures to illustrate your explanation.arrow_forwardDon't used hand raitingarrow_forwardIt is not unexpected that the methoxyl substituent on a cyclohexane ring prefers to adopt the equatorial conformation. OMe H A G₂ = +0.6 kcal/mol OMe What is unexpected is that the closely related 2-methoxytetrahydropyran prefers the axial conformation: H H OMe OMe A Gp=-0.6 kcal/mol Methoxy: CH3O group Please be specific and clearly write the reason why this is observed. This effect that provides stabilization of the axial OCH 3 group in this molecule is called the anomeric effect. [Recall in the way of example, the staggered conformer of ethane is more stable than eclipsed owing to bonding MO interacting with anti-bonding MO...]arrow_forward
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