Lab 6 Formal

A). A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the molecule's total energy. ?trans=(?^2?+?^2?+?^2?)(ℎ^2/8??^2/3)   ?rot=?(?+1)ℎ^2/8?2?   ?vib=(?+1/2)(ℎ?)   In the equations, ??, ??, ??, ?, and ? are quantum numbers, ℎ is Planck's constant, ? is the mass of the molecule, ? is the volume of the container, ? is the moment of inertia of the molecule, and ? is the fundamental vibration frequency. For carbon monoxide, CO , the moment of inertia is ?=1.45×10−46 kg⋅m2, and the fundamental vibration frequency is ?=2130 cm−1. Let ?=12.8, and let all the quantum numbers be equal to 11 . Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions. ?trans=      J/mol ?rot=         J/mol ?vib=         J/mol   B). If the electronic energy of CO is 9.14 eV per molecule, calculate the total energy of CO per mole. ?total=       J/mol   C). Which types of energy are…

The rotational spectrum of CH* has been observed in the planetary nebula NGC 7027." The spectrum shows a series of lines separated by 29.64 cm1. Calculate the bond length of CH*. Take the reduced mass of CH* to be 0.9299 g/mol. Give your answer in angstroms with two decimal places. Answer:

How is this absorption of light related to the molecular shape of the atmospheric gases? Their symmetry? Theirpolarity?

Predict the number of vibrations for the following con pounds (picture given). Number of vibrations for a nonlinear molecule is given by 3N-6, where N = number of atoms. Number of vibrations for a linear molecule given by 3N-5

1-A:-Calculate the energy and wave-length of the photon absorbed when a "Hg"Cl molecule (r. 2.23°A) makes the rotational transition J-0-J-1 and J-1->J=2. B:- In what region of the electromagnetic spectrum are these lines found? 2-Suppose that the equilibrium separation in the '11"CI molecules is the same and equal to 1.27°A. Compute for each molecule A:-The constant 13. B:- The energy of the first two excited rotationa levels. C:-The frequencies and wave length corresponding to the transition J-0-J-1 and J-1-J-2.

2. Molecules absorb IR radiation consistent with vibrational energy and rotational energy. Which of these is present in condensed phases (liquid, solution, solid)?

6. Electronically Excited Molecules Can Relax by a Number of Processes Name each of the processes (1-6) in the figure below. Energy So 476 R T₁

Which of these molecular electron configurations describe an excited state? (015)² (015*)² (025) ¹ (02s*)¹ (015)² (015*)² (02)² (02s*)² (л2p)¹ (π2p*)¹ (015)²(01s*)² (#2p)¹ (01s)² (015*)² (02s)² (02s*)² (л²p)¹ (02)²

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Indicate whether the following follow the Aufbau Principle 1s2 25? 2p6 35? 3p6 3d10 45? 1s2 252 2p6 3s2 3p6 4s2 3d10 1s2 25? 2p6 35? 3p6 45² 3d10 4p6 55? 4d10 5p6 6s? 5d10 1s2 25? 2p6 3s2 3p6 4s2 3d10 4p6 5s² 4d10 5p6 6s? 4f10 а. yes b. no

Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What’s the smallest frequency of light that can excite the electron? Briefly explain why.

For spherical polar coordinate system 1 -Zr Zr. еxp(- X2)sin 6Cosø 4/2 a 2a a Ju„v„dv = 6 =? px

find deltaE q = 5.700  kJ; w = 0.8000  J

Scheme C Scheme B Scheme A 1) Cl2 (xS) 2) NaOH (xs) 3) H3O* 4) SOCI2 5) 1) Cl2 (xS) 2) N2OH (xs) 3) H. 1) Cl2 (xS) 2) NAOH (xs) 3) HO (xs) Br O watigin ansers Mutigle answers are accepted for this question Sled one moe rs and smit. For keyboard navigation SHOW MO Scheme :ö:

1, CH3MGB., Et20 2. H", Н20 Selected Coordinates Clear

Use the Laws of Logarithms to combine the expression. 3 In(2) + 2 In(x) 2 -글 In(x + 6)

Diimide, (NH)2, is a relatively unstable molecule that can be used to hydrogenate unsaturated organic compounds. It exists as two geometric isomers: E (trans) and Z (cis). The structures are shown below. For the following questions, first consider the E (trans) form. N=N. Brans-dazene H. H. N=N. Zeiediarana wvhich species correspond to translational and rotational degrees of freedom? Translational: Rotational: f. diimide. Predict the number of peaks that will appear in the Raman and IR spectrum of trans- Number of Raman peaks: Number of IR peaks: g. Does the exclusion rule apply to this system? Explain. 5. peaks that would appear for this compound. If you could isolate these two compounds and measure their IR and Raman spectra, would you be able to distinguish them? Explain. Repeat the analysis in question 4 for cis-diimide to determine the number of Raman and IR

How many turns does NO make per second in rotation state J=1, J=2? r = 1.151

Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”

Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? What’s the smallest frequency of light that can excite the electron? Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”

why C and P  have no diagonal effect?

Two nitro (NO,) groups are chemically bonded to a patch of surface. They can't move to another location on the surface, but they can rotate (see sketch at right). It turns out that the amount of rotational kinetic energy each NO, group can have is required to be a multiple of s, where e= 1.0 x 10* J. In other words, each NO, group could have e of rotational kinetic energy, or 26, or 3ɛ, and so forth – but it cannot have just any old amount of rotational kinetic energy. Two rotating NO, groups Suppose the total rotational kinetic energy in this system is initially known to be 198. Then, some heat is added to the system, and the total rotational kinetic energy rises to 27e. Calculate the change in entropy. bonded to a surface. Round your answer to 3 significant digits, and be sure it has the correct unit symbol.

The moment of inertia of CH4 can be calculated from the expression I=8/3 mHR2 where R is the C-H bond length (109 angstrom or 109 x 1012 m). a. What is the lowest possible rotational energy of the CH4 molecule and what is the value of quantum number l associated with that rotational energy? b. Calculate the rotational energy of the molecule in the first excited state (when quantum number l = 1). c. Determine the degeneracy of the first excited state. Explain what is meant by rotational energy degeneracy.

Part A What is the probability that this molecule will be in the lowest-energy state? Express your answer to three significant figures. ? Pi = Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Part B What is the probability that it will be in the highest-energy state? Express your answer to three significant figures.