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(massager 1 (Drawsatearsemenastiness? 1 (maﬁanaritnamaewo Elﬁﬂiﬁ 11. The high boiling point of water in comparison to HZS is best explained by the concept of (A) London forces (B) dipolehdipole interactions (C) polariaability (D) hydrogen bonding
(E) none of the above 12. Which of the following has a dipole moment?
(A) 803 (13) CE; (C) CO; (D) SO; (E) none of the above. 13. Which of the following transition elements is most liker to exhibit a +3 oxidation number in its
compounds. (A) zinc (B) cadmium (C) copper (D) manganese (E) none of the above. 14. Rust is formed by the action of water and oxygen on iron. The formula for rust is (A) FeO (E) F6203 (C) chOyHEO (D) FeO; (E) none of the above.
15. Under which condition is a reaction always in equilibrium? (A) AGZO (E) AH=U (C) 51.8th (D)AH=AS
16. A chemical reaction will always be spontaneous when
(A) AH=—and.aS=~=—— (B)AH=+ and aS=+ (E) none of the above. (E) none of the above. (C)AG=+ (D) AH=—andAS=+
1?. Which of the following reactions has a negative change in entropy?
(A) CaCOgg} —} CaOg} + CORE.) (B) Z'HgOg] ——> 2 Hg“) + 03m] (D) ZNHME} —> Ngig] + 3112(3) (E) none of the above. 13. Given: Ngfg} + 203(3) H9! 2 N01113:, ﬁHﬂ"; 3.6 kJKle and 2NO(E} + 02(3) —> ZNOHE} ﬁHﬁ: 45.7 kJ/Iﬂﬂl.
What is the standard enthalpy (kJKmol) of formation for nitric oxide, NO?
(A) 10.3 (B) 3.1 (C) 5.15 (D) —20.6 (E) none of the above. 19. Draw the lewis structure for benzene, C5115 (the carbons should be connected in a six—membered ring).
What is the bond order of the carbou~carboii bond?
(A) 1 (E) 1.25 (C) 1.6? (D) 1.5 (E) none of the above. 20. Consider the reaction, (3an + water A products. Which of the following is a product? (A) Ca (B) CH4 (C) acetylene HCECH (D) Hg (E) none tithe above. (C) was + 40s} r‘} C4Hmts} —....—._......_._ h+ceeaeﬁeeieeseeeseeeeee
as are 2.1 new news 10 _sss_3_e
sees  c 23 assesses : est—ﬂats 1 a I seer"assess 0.25 a r seereach Iﬁﬂﬁﬁ 21. Which cf the fellewing equaticns is INCORRECT? (A) f(x,y) = xsin y, then S}: = siny
1: df 6fdx 5f dy 6V
B = ..r d = r, = r,th —=—*—s~ —»—— —~—
()f f(ry)an x army y() an [1,: ﬁx dr+3 dr+at stay) _ aw) __ (C) x =.r(n,v), y: y(n,v) , then aw”) may) _ 1 d 3
D ,b t t,th ~— .,t six: — ,1“ dx
( )n arccensans en drﬁfw) ﬁathr) (E) nene cf the abuse
22. Which cf the fellcwing veetcrs'is ncrrnai tn the surface 2.3::2 + yz + a2 =15 at (—1, 2, —3) '?
(A) —i+23m3E (B) i+2j—3i3£ (C) 2i—2'j+3i£ (D) 2i+2j+3i2 (s) chi313E 23. The length s(r) cf the curve R(s) : sinri t J3 sin a}  2 ecsrﬁ , t] 5‘. r is equal tc
(A) 1: (B) 2': (C) 31: (D) 41: (E) 81:. 24. The integral Hﬂlxyldxah» in the regien R deﬁned 0 11 x2 + y2 :1]. is equal tc (Am (B); ((3)2 (mi (E)4 25. The spherical ccerdinates (a, s5, {,9 ) and the Cartesian ccerdinates (a, y, a) are related by .x : psin a ccs 6’, y = psingﬁ sin 9, z : pensgﬁ , then the J acehian Efﬁ? is equal tc
r x, y, s 1 l I 1
(A) B) (C D) E) nene cf the abeve
p2 case} ( p2 see :35 ) p2 sings ( J02 siné ( 26.Aveetcr field A(x,y,a)=xyi+ya§—xy2l;,then VA is equal te
(A) y+s (B) as»); (C) y+xs (D) y+zs2xy (E) 2y~s 27. If U is a scalar ﬁeld.A, B are veetcr fields, air the velume element, and da the area element, which c
the fellcwing equaticns is INCORRECT? (A) sx(Axs)=A(VB)—n(VA) (s) Vx(UA)=VU><A+UV><A (a) mutt;th (e) jarmdmngda (E) I(V><A)da=rj.Asds ﬂ+igﬁiﬁﬂi€iﬁ$1ﬁ$%ﬁﬁitﬂﬁﬂEEE¥E5E%%E§
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EEZEE I L1 23 ﬁﬁ'ﬂﬁﬂiﬁgﬁiﬂ: : 5§¥iwﬁﬁiﬁ= 1 53‘ ' assassin 0.25 65‘ ' ﬁkﬁd‘ﬁ‘iﬁi‘ ° 28. The Sturni—Lieuville equation has the farm [p(.t:)y']' + q(x)y + £w(x)y m t}, (a s: x s: b). Per the
differential equation y” ——2y' + it); : 0,01} s: a: s: a), whieh nf the fellewing funetinn, when multiplied
intu the abeve equation, can turn it into a StunnLinuuille equatiun. (A) x (a) —x (C) at (D) a"; (E) 3‘21“ 4a: J: 29. The Feurier transfenn ef a ﬁtnetien f(x) is deﬁned by F { f (13)} = I“; f (JOE (ﬁt. If H65) is the Heaviside step funetien and a 1': 0, F {H (x) e‘ax} is equal tn 1 (B) 1 (c) 2 (D) 2 (E) 2 n+t'al u—im u+itu nit—in} nitFiﬁ] (A) _ 3 _ 2
30.1tisknewnthat ED 6? x d¥=\/E,theu F{e LM} (abmisequaltn a E" a" "i" (C) J; *2" J; "I? J; a?“ {I £1 {1‘ ﬂ {1 ﬁﬁﬁﬁzﬁ 31. If we wish tn supply 0.5 mW nfpnwer tn the 15 k0 lead,
RF = '20: Q)
(A) 0 (B) 10 (C) 560)"? (D) 10(30)”2 (5)15 32.. Find k in the veltage transfer funetien vzwkvl
(A) "1 (B) *2 (C) 1 (D) 2 (E) 0 illI lull WNW? *
HitLE1 rm"? ewe“;
annuals; + H 1 lusﬂ 1 “H 4 “HmnMWn Hit " vvvvvv it! if "
Er"
y, i
1.3”; If] H: u}
Wyn—lumww mama.— ———g 33. Use supetpnsitien tn ﬁnd VE1(V).
(A) —42 (B) ~20 (C) 0 (D) 20 (E) 42 h't*imﬁlﬂﬁﬂt4éhlt%%%ﬁﬁmﬂiiﬂiﬁéEiBigéafﬁ
TilE Iﬁlﬁiﬁ‘ﬂgﬂ" Elﬁm tildﬁﬂﬂnﬁ 10 _E%_5.._.E * 1/1 23 ﬁﬁﬁﬁﬂﬁn’gﬁht : Bﬁmﬁﬂﬁ 1 53‘ * Eﬁamitﬁﬁﬂ‘iﬂ 0.25 it ' 26%71‘81‘3} ° 34. Find V101) in dc steady state.
(A) U (B) 12 (C) 24 (D) 48 (E) 96 3S. Fcllcw prcblem 34, Find V20!) in dc steady state
(A) U (B) 12 (C) 24 (D) 48 (E) 96 36. The circuit is in dc steady state at t:0—, find y(0—)= ? (V)
(A) 18 (B) 12 (C) 6 (D) 3 (E) 0
37. Fellsw prcblern 36. find y(0+) =?(V)
(A) 18 (B) 12 (C) 6 (D) 3 (E) 0
38. Fcllcw prcblern 36, ﬁnd i(D—) =?(A)
(A) 18 (B) 12 (C) 6 (D) 3 (E) 0
39. Fcllcw prcblem 36. find i(0+) = ?(A)
(A) 18 (B) 12 (C) 6 (D) 3 (E) 0 40. Find the tctal respcnse yg(t) if y¢(t)=0 and iL(t):l'A
(A) {l (B) 41’ (C) 8V (D) 121s?r (E) 16V ﬁﬁg 41. A special catalyst is able tc deccmpcse water inte hydrc gen and cxygen ccmpletely at 30°C. Hew many
liters cf gas can be prcdnced by deccmpcsing 18 g (E25 liter) cf water? I
(A) 25. (B) 50. (C) 62.5. (D) 75. (E) ncne cf the ahcye. 42. Indicate the wrcng statement fer the definiticn cf isciated system in the fellcwing
(A) nc heat entering frcm entside (Q=0), (B) ne wcrk dcne by the system (W=O),
(C) nc expansicn er ccntracticn cf the system. (D) nc energy exchanged with the snrrcnndings,
(E) nc energy interchanged in the system. 43. Indicate the wrcng statement fer the definiticn cf elcsed system in the fellcwing (A) heat can enter the
system ((2:20), (B) wcrk can be dcne by the system (W40). (C) nc mass enters cr leaves the system,
(B) the yclnme cf the system is ccnstant, (E) energy can be interchanged in the system. 44. Please indicate the right statement fer the 3‘11 law cf thennedynamies: (A) the entrcpy cf all perfect pure
crystalline substances is serc. (B) the entrcpy cf each element in scme perfect crystalline state is taken as zerc. (C) as far anyr iscthermal precess is sere at 08K. (D) the internal energy cf each element is taken
as zerc. E ncne cf the abcye. a+:eeeeeaeieeaeeeeaaeaea
es timest xgetaw teemennmammaa 6 eeat I u 213 aaaneaeea : ee~~~ets1 e I eemeesu 0.25 a 1 eatery}: 45. Indicate the wreng statement fer the preperties ef ideal gas: (A) ne intermelecular interactiens,
(B) internal energy depends enly en the temperature, (C) internal energy dees net depend en velume, (D) internal energy dees net depend en pressure,
(E) ne heat needed in an isethermal reversible ezpansien precess. 46. If X is a state functien and dX = dqrwr’T, where berg... stands fer reversibly adserbed heat, calculate AX fer
the isethermal expansien ef ene mele ef an ideal gas frem 2 te 1 atm at 298K. (A) (U2)R 3110(2), (B) R la(2), (C) 0, (D) 2R lea), (E) nene ef the abeve. 47. Indicate the wreng statement fer the preperties ef the secend law ef thermedynamics: (A) all reversible
heat engines werking in cycles between twe temperatures, AT apart, must have the same efﬁciency,
(B) dSaD in an iselated system, (C) (dA)T,vS0, (D) (dG)1~,pc_10, (E) nene ef the abevc. 48. Indicate the wreng equatien in the fellewing: (A) (thdP)T=V, (B) (deaT)p=(S),
(C) (63! 6’1")p=(C,,fT), (D) (de’dP)5==(deS)p, (E) (de’I‘)p=((dedP)rr). 49. What weuld be the maximum heat eutput fer a 1 kW heat pump werking between the temperatures cf 12
and 27UC'? (A) 20 kW, (B) 1 kw, (C) 0.05 kW, (D) 15:27 kW, (E) 12f27 kW. 50. The gas equilibrium ef 2302'l'02=2803 at 1000K has a tetal pressure ef 2 atm. It is knewn that enly 803
with a pressure ef 1 atm exists initially. Please calculate the equilibrium censtant at 1000K: (an, (3)05, ((2)25, (D) 0.4, (E)latm_1.
Wﬂtﬁﬁ 51. In a small—angle tilt beundary whese angle ef tilt is 0.1", and the Burgers veeter ef dislecatiens is 0.33 nm, which ef the fellewing value i_s_ the spacing between dislecatiens in the beundary'?
(A) 0.33 nm; (B) 0.66 nm; (C) 3.3 nm; (D) 6.6 nm; (E) 0.165 nm. 52. If a regien with relatively higher atemie number than ethers, its image in SEM—BEI (backseattering electren
image) will be: (A) brighter; (B) darker; (C) mere sharp; (D) eut ef fecus; (E) ne different with
ether regiens. 53. It is ebserved that dislecatiens are easily generated inside the material A, but difficult preduced in the material B, which is Egg in the fellewing statements: (A) B is mere ductile (large strain), because the material will be strenger if there is ne dislecatien;
(B) Grain size ef A is smaller than that ef B, because there are many subgrains (dislecatien cells);
(C) A is mere strenger than B, because there is the werking hardening mechanism; (D) Defermatien in A is greater than B, because dislecatien ceuld slip; (E) The dislecatien has ne effect en the elengatien ef material.
54. Which ef the fellewing phenemena is the least related te the interactien ef a dislecatien with selute atems in a material? (A) Dislecatien atmesphere; (B) Drag stress; (C) Strain aging; (D) Dynamic reeevery; (E) Sharp yield peint.
55. In the X—ray diffractien (XRD) experiment en twe pewder samples, ene is nanemeter size and the ether with minimeter size, what weuld yeu find? (Every particle is censidered as a crystal)
(A) Ne difference between the X—ray results ef nane and minimeter samples; (B) Seme peaks ef nanemeter sample are disappeared; aﬂewauwueItaeataiuwaertaeeu
til E Eltgﬂiﬂljﬁm tdﬁwﬁgﬂumﬁﬁ 7 E7"
raises = u 213 sausagessh : satmasts 1 :s = assassin 0.25 is . ggmgg.
(C) Seme extra peaks ef nanemeter sample are develeped;
(D) The intensity ef each peak ef nanevmeter sample is increased; (E) The sharpness ef each XRD peak ef namemeter sample is decreased.
56. Twe—cempenent system centains twe phases in equilibrium cenditien, which ef the fellewing statements is wreng?
(A) T (temperature) keeps censtant, the tetal cement ef alley changes, the ameunt ef each phase alse changes;
(B) These twe phases sheuld have the identical partialmelal free energy;
(C) T keeps censtant, the centent ef alley changes, the equilibrium cempesitien ef each phase changes;
(D) Fer the same alley, when the T changes, the equilibrium cempesitien ef each phase changes;
(E) The maximum number ef equilibrium phases is 4 accerding te the phase rule.
57. Which ene ef the fellewing ﬁve phenemena that ceuld ﬂ strengthen the metal material?
(A) Werking hardening; (B) Dislecatien cress—slip; (C) Seiid selutien; (D) Grain reﬁning;
(E) Preeipitatien ef secend phase particle. ' 53. Which ene ef the fellewing ﬁve statements is wreug:
(A) Vacancy is a kind ef defect, if there is ne vacancy inside a crystal, the tetal energy will decrease; (B) Vacancy will assist the interdiffusien ef atems;
(C) The raising ef temperature, the equilibrium density ef vacancy increases; (D) If the metal quenched frem high temperature, it has excess number ef vacancy;
(E) The existence ef vacancies inside a crystal decreases the tetal energy ef material. 59. Identify the dislecatien, in terms ef its Brugers vecter, that can cress s_lig between (111) and (11 i) planes ef an f.c.c. crystal. (A)1.t3[ll1]; (a) 1f2[i10]; (cmeeg (D) came]; (E)nene efaheve. 6U. The recrystallizatien rate ef a celd—werked metal is n_et dependent te which ef the fellewing parameters?
(A) Purity ef the metal; (B) Temperature ef annealing; (C) Time ef annealing;
(D) Ameunt ef deferrnatien; (E) The initial grain size befere deferruatien. ﬁﬁluﬂ
61. Let c be the light speed in vacuum. When c is expressed as a functien ef the electric permittivity se and
magnetic permeability pm, which ef the fellewing is cerrect  (A) e=a,,,u,,; (B) c=(s,,,u,,)'l; (C) e=.,jsmu,,; (D) c=1f.,/a',,,uﬁ; (E) c=s,!p,,. 62. Cempten effect shews that (A) electren has wavelike preperty. (B) electren has particlelike preperty.
(C) light has wavelike preperty. (D) light has particlelilte preperty.
(E) heth electren and light have wavelike preperty. 63. Gravitatienal red shift indicates that (A) light has nenaere rest mass. (B) light has nenaere mementum. (C) electren mass is a censtant.
(D) wave length ef a cesmic radiatien becemes lenger as the ebserver en earth views an eutgeing radiatien. (E) the energy ef a cesmic radiatien is decreasing as the ebserver en earth views an eutgeing radiatien. Fiﬁ] Elgﬂzﬂi HEM" __Iiidﬁ_l.m1_.§i 10 Wﬁﬁ 3 E
Eﬁﬁdﬁ I L1 213 ﬁﬁﬁﬁﬂﬁgﬁ‘hi : ﬁﬁ‘dFwﬁﬁ 1 fd‘ * ﬁﬁh—‘ﬁﬁﬁﬂiﬂ 0.25 6} r “3+5? " 64. A free electren has the wavelike preperty, its wavelength it can he expressed in terms ef its energy E as
(A) it 21.24IE in unit efﬁ. (B) R. 21.24IE in unit efcm. (C) A =1.24!E in unit efum.
(D) xi. = 1.2314;l E in unit ef m. (E) nene ef aheve is right. 65. Aheut the wavelike preperty ef a free electren, which ef the fellewing statements is eerrect'? (A) It dees net have the exact mass. (B) Its frequency is linearly prepertienal te its tetai energy.
(C) The ahselute value ef its wave amplitude is prepertienal te its energy. (D) The square ef its wave amplitude is prepertienal te its frequency. ' (E) It emits light when it is cenﬁned in a be}: ef fixed velume. 66. Aheut the uncertainty principle, which ef the fellewing statements is eerreet?
(MeirM2111 (B) ApdISR (C) dpdxﬂh (D) exAEhh (E) ZipME?! 67. The atemie spectra
(A) eenﬂrm the atem medel prepesed by Rutherferd. (B) suggest that electrens in an atem de net have the same mass.
(C) shew the energy quantizatien ef electrens in an atem."
(D) can he explained by treating electrens in an atem as particles.
(E) are identical te all elements in the periedic table.
63. In the fellewings, which was net deserihed in the Behr’s medel ef atem
(A) angular mementum. (B) the radius ef electren erhit. (C) the electren spin.
(D) the energy level ef electrens. (E) all mentiened were specified in the medel. 69. Te verify the quantizatien ef electren energy in an atem, yeu can
(A) detect the intensity attenuatien ef an incident white light en the gas sample. (B) detect the energy less ef an incident electren with eenstant energy.
(C) heat the gas sample and see the emissien spectrum.
(D) de an sray diffractien. (E) measure the specific heat ef the gas sample.
70. In quantum mechanics, which ef the fellewing expressiens ceneems the energy censervatien ef a particle III hlkl
(H)IWﬂHV=l.(3}Ezhm.(Cjﬁﬂzﬂﬁ—mwﬂ—.(U)E=hm+
_m 2 2m
Ilvl dr
It? die! dy/
a—wesw'=e—
( ) 2m 62:2 W 1 r ﬁﬂltﬂ 71. While the earhenyl stretching frequency fer simple aldehydes, ketenes, and earhexylic acids is abeut
1710 cm", the carhenyl stretching frequency fer esters is aheut:
(mmem‘mwmmm(mwmmdammmmqmmmmmewa 72. What alkyllithium weuld react with acetic acid te ferm 2hutanene?
A meth llithium B vin llithium C eth llithium D re llithium E nene ef the aheve. j‘t+:esaixwwaﬂssastarsiwsmisseat
NE! Elia tiliﬁ 1101 iii} 10 Fiﬁ 9 E = L1 23 estsass : sweats 1 5:} I assesses 0.25 :4} r asvaa D "I
"I: T3. Which of the fellewing amines can be reselved inte enantiemers? (A) trimethylamine (B) 3pentanamine (C) 2pentanamine (D) dimethylammenium ehleride
(E) nene ef the aheve. 74. Which of the fellewing is alse knewn as a Sehiff base? (A) an imine (B) a eyanehydrin (C) a hydrate (D) sedium hydrexide (E) nene ef the abeve. 75. In eleetrephilie arematie substitutien reaetiens a ehlerine substituent: (A) is a deactivatur and a mdireeter. (B)is a deaetivater and an e,pdireeter. (C) is an aetivater and a
m—direeter. (D) is an aetivater and an e,p—direeter. (E) nene ef the abeve. 76. Which ef the fellewing is net a fusedring hetereeyele? (A) purine (B) pyrimidine (C) benzefuran (D) indele (E) nene ef the aheve. 77. Which of the fellewing eempeunds is the most reaetive dienephile in a Diels—Alder reaetien with
1,3butadiene? (A) CH3=CHOCH3 (B) CH3=CHCHO (C) CH3CH=CHCH3 (D) (CH3)2C=CIIg
(E) nene ef the abeve. 78. Te a selutien ef prepyne in diethyi ether, ene melar equivalent ef CHgLi was added and the resulting
mixture was stirred fer 0.5 heur. After this time, an exeess ef D20 was added. Describe the maj er
erganie preduet(s) ef this reaetien. (A) CH3CCD and CH4 (B) CH3CCCH3 (C) CD3CCCD3 (D) CHgCCCDg (E) nene ef the abeve. 79. When transwﬁhexene is treated with MCPBA, the maj er erganie preduet is: (A) a mese epexide (B) a 1:1 mixture ef enantiemerie epexides (C) a mese dial
(D) a 1:1 mixture of enantiemerie diels (E) nene ef the abeve. 30. When (R)2—butanel is treated with TsCl in pyridine, the precinct farmed is: (A) an aehial eempeund. (B) a mixture ef diastereemers. (C) a rasernie mixture.
(D) a single enantiemer. (E) nene ef the abeve. Iﬁbg Member ABC is supported by a pin and bracket at B and by an inextensible eerd attaehed at A and C and
passing ever a frietienless pulley at D as shewn in figure 31. the tension three in cable is
(A) 250 N (B) 275 N (C) 300 N
(D) 325 N (E) 350 N 32. the herisental reaetien at B is
(A) 250 N (B) 275 N (C) 300 N
(D) 325 N (E) 350 N 83. the vertieal reaetien at B is
(A) 200 N (B) 225 N (C) 250 N
(D) 2'35 N (E) 300 N a+zeeaasee1eeaaaaaaaaaaa
$33551 : 1101 $6 10 10 E
Eases : L1 23 ase lessees : erassis 1 a = ass—asses 0.25 a I are wean Fer the beam and leading shewa in ﬁgure
34. the vertical reaetien at A is
(A) 5 kN (B) 5.25 kN (C) 5.5 kN
(D) 5.75 kN (E) 6 kN
35. the reaetien memth at A is
(A) 21.6 kNum (B) 22.4 kNm (C) 23.2 kN—m
(D) 24 kN—m (E) 24.8 kN—m Fer the truss and leading shewa in the figure
86. the aem feree members in the truss are
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8
87. the fame in member 3D is
(A) 24 RN (B) 26 kN (C) 23 kN
(D) 30 kN (E) 32 kN
33. the reaetien at reller G is
(A) 40 RN (B) 44 kN (C) 43 kN
(D) 52 kN (E) 56 kN A 24~ft~16ng steel tube with medulus ef elasticity E e 29 (103) ksi having the euter radius and inner radius sf 3
in and 2 in, respectively. The tube is te he used as a pinended eelumn. (8930) 39. What is the maximum ailewable axial lead the eelumu ean suppert se that it dues net huekle?
(A) ~176 kip, (B) ~163 kip, (C) ~125 kip, (D) ~133 kip, (E) ~203 kip 90. The feree ereated an average eempressive stress at the maximum alleable axial lead in the eelumu is
(A) ~11.20 ksi, (B) ~10.4ﬂ ksi, (C) 4'33 ksi, (D) ~8.46 ksi, (E) ~12.95 ksi ...
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 Spring '10
 davewinn

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