cem181f06e1 - Chemistrfl 181Hl Fill; 2006 EXAMI Thursday2...

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Unformatted text preview: Chemistrfl 181Hl Fill; 2006 EXAMI Thursday2 24% Sept‘l M WRITE youii Name Stiidenfl Numbefi Recitation Time: Mondax There are 10 questions on this exam, morflj 10 pointsl eaeh Write your answer; showing all world to eacll on each page. A lisL of potentiallx useful equations is on page 12. A periodic table is containedl on w L1 Scord PH: megmmgboMH total /10q 1. The elemenil coppeg has 13310 stable isotopes2 one with 34 neutrons and thaojherhas36nenirons ionwillneedinfermationimtheperiodic table m ansalen the following am guestions. {a} 9 points] Calculatd the amid mass numbers ofjhe Mo isotopes of copper. (b] (8 points] Calenlate the relatin abundances of thd twd isotopes of copper. 2. Most stars including oun sun are approximately 90% hydrogen and 10% heliuml M numberll All of the otherl chemical elements onlyl addgtdatinyfraetiorflofthemass; Awamountofinformatiod can be gained by studying the spectral oil hydrogen and heliurrfl atoms emitted by stars. Note that the hydrogerl and helium in the outer stellar atmosphere are generallfl irfl their ground states and absorb photons emitted frem the stellar interior thus the absorption spectra of] these elements are ofterl studiedl {a} The wavelength of] the first absorption line actuallyl measured by Johann Balmer irfl hydrogerl was the n32 to H transition at 65M rim (red light). Solue for the Ryberg constant and use M value to predict the wavelength of the Lyman—like absorption line with nzfl to n22 ill the heliunj m2 Heil (Q points! Q] Estimate the surface temperature of] a blue—green starl that emits a blackbodyl spectrum that peaks at 486 nml {il pointsl 3. Id a reeentl experiment2 a m atom was trapped on a 13m dimenfi sionall sguarg surfaee The suriaee was flat so that le,yl:0l The experiment consisted of] observing the emitted radiatiod as the atom slowed dowrfl and went intd its ground, on lowest energy, state. (a] Write the quantum numbers of the firstl excited statd of this am tern, be sure to indicate if the statd is degeneratd or notl points] Q] What is the total kinetie energX of] the atom id the ground state if length ofthe edge ofthe surface2 1:2 is 50 nm‘fl @ pointsl (Q What is the energfl {in joulesl ofthe photon that will be released whedthdmdropsfronflthelowestexeitedstatetotheground state ofthisl system? @ points) 4.Nentro1fldifinactionisnsedtodetermindthdstmctnresgfmolennlesl This technigug Lelies on % thd W of mentions predictte byl dd Broglie and thd melll established theoryl of X—ray difinactiom All importantl differencd is that strong X—fl beams tend to destroX thd samples but the neutrom beams do not. (a] Calculate thd de Broglie wavelength iii meters fon neutrons that are traveling with 1.0% ofjihe speed of lightl (5 points) (bl W hat is the minimum uncertaintx iii the position of the neutrom in partl (a) if thd velocity is (Mill! :Izl mom 1 points). 5. Ansarerl the following guestions relating to atemie structured (a1 Caleulate the effectin charge, Zeffl on the nucleus seen bv thg out— ermost electrorfl of a sodiund atom (Nal Z=11)l Thd firstl ionizatiorl potential oflsofiiund is 0.4954 Mngole or 7.746 eVl @ points! (bl Ad electrorfl is excited from thd r121 ground state to the n23 state in a hydroged atom. Indicate if each following statementl is correctl and ifl not then suggest a small changg in the false statements te eerreet themJ poinfl each 5 points total) i. TonEIttakesmoreenergfltoionizetheatonflfronlthenzd statflthaflfremthdgroundstate iL T or E The electrorfl is further frond thd nucleusl on average; ill the n23 state than it was in the grouan state. T on E The wavelength oil lightl emitted when thd electron drops from the n23 state td the n52 state will bd shorter than the wavelength of the lighfi emitted whenl the eleetron thenreturnsfronflthenzfltethenzlstate ivl T on E Thd wavelength of lightl emitted if the electrorfl returns directlyl to the nzfl state from the n23 state will be slightlfi more tharfl the @ abserbed wherfl the atem was first excited from the nah to thd E statel 1, TQnFIhenzdstateisthefonrthlexeitedstateothdrogen. 6. ADSMLQIl the following questiong gallon: tho ologflons injhd grouan slams oflfmd atoms or m (21] Writd the electronid configuration and indicatd thd numben of un— paired dominons ill oaoll of tho following fl moms or m ion can indioajzn ineril nobld gfi CQIBS for simplicity. 9 points each] i. Europiuin @ Z263! n NLH:(NP+JZ:2& Q] Clearly mm iii the 5215 of] guantum nnmbnrs for oloflnnons ill mrimisoxofindsjamaoflahydrogenamonjamofihflaflmgfiA or notl aHQJBLedEM Ind mm ifl (Many) . (1 point each] a] A or N] (101325,0,0) e] A or N] (3,1,3) @AmNfiwj gAmNgu] gmmmgwg QAmNQAfl 7. Sketch th Ladial part3 ijhd hydrogen—like ammic QLbiLals Q11 the axis bflom Ihfi mmfmlcjigna am labiale by their guantum numbersj 1N,€,mgfl . Ed sum 39 indigam the proper phase (Sign! inhfi male;th J tion (a) (Nflmz) = (3,0,0) gem yow (3 points] r-‘--. (I. v 9* (b] (N,E,mg) = (3,1,0) gem M (3 points] ((3) (N,€,mg) 2 (4,3,0) geta yow points] 8. The following short guestions can be ansmered on the basis of the E sition ofthe atom or ion in thd periodic table g point each! (a] Indicate the ion that has thd smallest radius and justify your an— smer with a sentence A13+JF;J Ma: Q] Thd atom that has thd largest (most exothermic] electron affinityl ancl justify youn answer Wlthl a sentencel Be, B (c) Thd atonfl that has thd largest (most exothermic] electron affinitfl and justify youn ansnrer with a sentencel MO (d] W hich atom has the smallest (firstl ionization energy ancl justiffl your answen with a sentence. @EBfl (9) Which atom or iorl has the smallest (first! energy and justify your ansnrer with a sentence o, 0-1 ck 9. M points? The complete wavefuntionJ \IJ(7’, 6, gm fer an eleeimm in the 13 Q1 equivalently the (1,0,0! hydrogenic 911111231 isj @(T7 2' 36,0 Z 3 1 R :2(— *ZT/ad CA Y =— (T) a 6 an Ad fl Whafl '13 the 1111111131931 mind ijhd functionJ 47TT2R21T}, ax :hdpointr:M:0,d=0fefiathrogenammJ Ihexaludefaois given Q11 the eguation sheet2 indieajze any dimensiens em youn ansmm 10 10. (m points) A ceriairfl digital camera rises the snriiace on a silicon Q to coner photong mm an elechicaJ cnrrenii as M ofthe procesg of] recording an image. Assuming Lhai the morld fnncLion for the silicon is 1 e1 and the average wavelengthi of thd lighti id 65D nrrr (green light), hovw w photons/ second are necessary to produce a photoelectric currenfl ofl 1 rnicroarnp : M microCoulomb/secondi Z 1M Potentiallfi Essaful ansjants &: Equationfi .. 9/26/06 Bl : (LOBM E atnfl 11:1 mole‘1 B = m J 11:1 mole—1 kfi I w I 1.38066X10’23J1 0K7” 1. 811111 2 1.6605 DG 1072? 1g hZMxmfllsec O=MXmmsec_1 m = 6.0221 m 1023 1119112: 60 = 8.8542 m 104% CoulomM (1’11 111’1 w m = 1.67263 m 10% 1g 31mm 11mg 2 9.1094 m 10*31 1g neutron mass = 1.62493 X 111—27 kg electron charge 2 1.611218 X 104% {19111 g = 56.706 nWm’ZK’41 Q = 1.44 am K am : 60h2/627Tm4 = 52% pm RH : 109,737 CHI—1 11mm) = — 011C1292/47TEOT1 E = — fiWX) E = Q1 WWW/MM — CU] E 2 11M /\ M : C m = h/p % 2 fl TAmmJ = M 1Q : 311 (1/1112OW1 — 1/n121igh} Voouz=mgzeffl4wedr Ea=émfi=m p=mm w = 2.1% m 1071M u—lat M = $7} M = —13.60€W A E A1: E M A m A g 2 w rB(n)=€0n2h2/q1qgez7m11 ETZEK-l—Efi Efizhfi—Q MZZ—OW fié—iQQ) 4+ WK) MK) = mej [g—gfvfi + v] m = ETM M = \1/*1X1\111X1dx [II/*{xnlqmdm = 1 lllfreebc) = A gnaw/AM] Efi = h2/2mA3leA Illnpifl = M2/L sin(n7TX/L] 13(an = nih2/8mL1 E(nw,n ,nz = (ni-fi-ni-l—ni] V(r,6,¢):h2€(fl+1)/2ufl—Ze2/47reofi [12W V]R(r)yl,m(e,¢j = ETR(rmm(e,¢) 2m 12 own-oi mm m: Among ER. :53 $3 Ems ABS r33 g3 53 HEN. 9an SEE saw .5an 2mg .5 oz Ea Eh mm Ho gm 50 FE 5m nHZ D mm HS. 04 mmEqsod 2. n2 no. 2: a3 8 mm ,3 mm mm g mm mm E on an 5.3: 3.9: 8&2 was: 3.3: 8&2 ~32 $an 032 3.2: 3+: $3; 5.3; ~33 5de 3 5 E9 pm 0: 3 fl 8 5m Em Em uz :5 8 3 $333.. 2.. 2. we no no we no +0 no am G on mm mm pm :33 Emmy Qua $08 :33 2mm“ :33 Emma 32 mm am mm an E in mm .E m: “2 0: m2 m3 .8: 03 m3 E: mm pm «.2: 3.2; 33.2 8&3 mm .5 in mm mo 2. m» mm mm 93 3.8 893 «NS 3a.: 35 $3 oh 02 32 pm Kw hm am 3 3 3“ av 8 mm E 95.3 25.3 35.3 8.3 3w: 3.3 «3.8 5.4 no > E. ow mo M mm «m mm mm 5 cm 3 ~53 83m p m m w m m: 2 NH 2 «an; 83 mm 3 w m 933 .5 m: 2 E 2 m m 13 ...
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This note was uploaded on 07/25/2008 for the course CEM 181h taught by Professor Morrissey during the Fall '08 term at Michigan State University.

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cem181f06e1 - Chemistrfl 181Hl Fill; 2006 EXAMI Thursday2...

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