I Review | Constants | Periodic Tableweirgy ofThe energy difference between two energy shellsThe energy difference between two energy shells Is calculated using the formulareeAE- E- Eis the energy of the final shell and E, is the energy of the nitial shell fromm which the transition occurs. For example, for the transition n = 4 to n =1, thewhere Erinitial shell is the fourth shell, and the final shell is the first shell. Thus, the change in energy between the fourth and the tirst shell is deroted as AE= E – E4 Theenergy corresponding to a shell is calculated usingEn-2.179 x 10 /(2)? Jwhere a is the shell numberPart B - Calculate the energy differenceCalculate the energy difference for a transition in the Paschen series for a transition trom the higher energy shell n = 4Express your answer to four significant figures and include the appropriate units.way ofto the• View Available Hint(s)ies?HAValueUnitsSubmitPrevious Answers2:56 PM CHM 1045michaelI Review | Constants | Periodic TableWhen an oloctronic transition from a higher energy sholl to a lowerenergy shell takes placc, a photon of light is released. The energy ofthe pholou released during tho transition is cqual to the eneigydifference belween the two shells.Sort tnc following transitions liurri an excited state to a ground state accurding 10 the senes into which they fall.Drag the appropriate transitions to their respective bins.• View Avallable Hintis)Seleci Ihe image to explore thc simulation that demonstrates threeemission SHIIHSReset HelpCkt an he differeies n lines ef ak lydropmte ede unr of the rpenve tiriens fo encitd a gonl varsEnerg-Ea-n- 8sSelE =--- M4n = 5 to n= 2n-7 ton-1 n=5 to nn=3 ton-2ロニ/pn=2ri- 4 tnn-E:=-R2Ttien from --Paschen scrlesBalrer seriesLyrman seriesClick on the Lyman series in the simulalion to observe the pathway olthhe eloctronic transilions trom exciterd (ur fugher energy) states to theground (or lowest enengy) state. Similarly, click on the ulher series(Realiner and Paschen) to observe their ussociated electronictrarisilions.256 PM3/29/2021P Type here to searchFULL

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I Review | Constants | Periodic Table wei гgy of The energy difference between two energy shells The energy difference between two energy shels is calculated using the formula aree AE- E where Er initial shell is the fourth shell, and the final shell is the first shell. Thus, the change in energy bolwoen the fourth and the tirst shell is denoted as AE-E-E The energy corresponding to a shell is calculated using is the energy of the final shell and E is the eneray of the nitial sholl fron which the transition occurs For oxample, for the transition n-4 to n -1, the E,--2.179 x 10o-/(2) J where a is the shell number Part B- Calculate the energy difference Calculate the energy difference for a transition in the Paschen series for a transition from the highit energy shell n 4 Express your answer to four significant figures and include the appropriate units. way of to the • View Available Hint(s) ies ? Value Units Submit Previous Answers

I Review | Constants | Periodic Table wei гgy of The energy difference between two energy shells The energy difference between two energy shels is calculated using the formula aree AE- E where Er initial shell is the fourth shell, and the final shell is the first shell. Thus, the change in energy bolwoen the fourth and the tirst shell is denoted as AE-E-E The energy corresponding to a shell is calculated using is the energy of the final shell and E is the eneray of the nitial sholl fron which the transition occurs For oxample, for the transition n-4 to n -1, the E,--2.179 x 10o-/(2) J where a is the shell number Part B- Calculate the energy difference Calculate the energy difference for a transition in the Paschen series for a transition from the highit energy shell n 4 Express your answer to four significant figures and include the appropriate units. way of to the • View Available Hint(s) ies ? Value Units Submit Previous Answers

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter4: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 38P: Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene (see Example 4.7)...

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Consider the following transitions 1. n=3 to n=1 2. n=2 to n=33. n=4 to n=34. n=3 to n=5(a) For which of the transitions is energy absorbed? (b) For which of the transitions is energy emitted? (c) Which transitions involve the ground state? (d) Which transition absorbs the most energy? (e) Which transition emits the most energy?
Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene (see Example 4.7) and the n=2 wave function for the weakest bound electron, calculate the probability of finding the electron in an 0.1 interval centered midway between the two inner carbon atoms (that is, the center is at x=2.11 , so this interval is from x1=2.06 to x2=2.16 ). Then calculate the probability of finding the electron in an 0.1 interval centered midway between an end carbon atom and the carbon atom that is double-bonded to it in the Lewis dot structure. (You may calculate the appropriate integrals or estimate the relevant areas under the curve graphically.) Then recalculate the probabilities by approximating the integral as |( x 0)|2x , where x0 is evaluated in the middle of the range from x1 to x2 . Finally, explain why you can’t approximate the integral needed for Problem 37(a) in this way.
Estimate the probability of finding an electron which is excited into the 2s orbital of the H atom, looking in a cubical box of volume 0.751036m3 centered at the nucleus. Then estimate the probability of finding the electron if you move the volume searched to a distance of 105.8 pm from the nucleus in the positive z direction. (Note that since these volumes are small, it does not matter whether the volume searched is cubical or spherical.)
A carbon dioxide laser produces radiation of wavelength 10.6 micrometers (1micrometer=106meter). laser produces about one joule of energy per pulse, how many photons are produced per pulse? (c) Which transitions involve the ground state? (d) Which transition absorbs the most energy? (e) Which transition emits the most energy?
For the Li atom, the energy difference between the ground state and the first excited state, in which the outermost electron is in a 2p orbital, is 2.961019J . In the Li2+ ion, the energy difference between the 2s and 2p levels is less than 0.00002 of this value. Explain this observation.
Suppose that the spin quantum number had three allowed values (ms=0,+12,12) . Give the atomic numbers of the first three noble-gas atoms in this case.
In a FranckHertz experiment on sodium atoms, the first excitation threshold occurs at 2.103 eV. Calculate the wavelength of emitted light expected just above this threshold. (Note: Sodium vapor lamps used in street lighting emit spectral lines with wavelengths 5891.8 and 5889.9 Å.)
Spectroscopic studies of Li also show that Zeff(2p)=1.02 . Estimate the energy of the 2p orbital of Li. Calculate the average distance of the electron from the nucleus in the 2p orbital of Li. Comparing your results with those in Problem 13 shows that the energy values differ by about 50%, whereas the average distances are nearly equal. Explain this observation.
Explain why the wave model for radiation cannot account for the photoelectric effect.
The speed of sound in dry air at 20°C is 343.5ms1 , and the frequency of the sound from the middle C note on a piano is 261.6s1 (according to the American standard pitch scale). Calculate the wavelength of this sound and the time it will take to travel 30.0 m across a concert hall.
What is the energy of light having each characteristic? a v=6.031014s1 b =9.27nm c v=4320cm1 d =5.69
Using Table 5.2, write down the mathematical expression for the 2px wave function for an electronically excited H atom. Estimate the probability of finding the 2px electron if you look in a cubical box of volume of 0.8(pm)3 centered at a distance of 0.5001010m in the =/2 , =0 direction. Does this probability change as you change ? At what angles is the probability of finding the electron smallest and at what angles is the probability the largest? (Note that =2 is the same location as =0 , so don’t double count.)