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CH 301H Fall ‘08 Vanden Bout Name: Carefully read all the problems (your exam should have 13 problems on 10
pages) Show all your work on numerical problems Clearly mark your answers If you think a problem cannot be worked out with the information provided write “this
problem can not be worked with the information provided" Problems may contain extraneous information Please sign at the bottom to certify that you have worked on your own. l certify that I have worked the following exam without the help of others, and that the
work I am turning in is my own. Signature Date Potentially Useful Information 6 1.602 x1019 C
9.109 x 10'31 kg m 1.67 x 10'27 kg 1.67 x 10'27 kg 80 8,854 x10"12 C2 J" m"
c 2.998 x108 m 3']
1A 10'10 m h= 6.626x10'34 J s E = hv )w = c 1 Rhydberg 2.18 x10"18 J IeV = 1.602 x 10”] NA 6.02 x1023 Hydrogen—like Atoms Z2
E” = ——2 in Rhydbergs
n ___ 2
r”, = n a0 1+l[1_€(€:1)]
’ Z 2 )1 a0 = 0.529 A Multi electron atoms 2 Zeff ,
En = — n2 1n Rhydbergs 7% nch0 {1+l[l_€(€+1)]
"J zeffm) 2 n2 1. Short Answer A. Give the formula for the following compounds (2.5 points each) Potassium Permangenate \LMn 0L1 Calcium Nitrate (IQ(MO?) 2, Iron(III) Oxide g: 20 3 Chromium (III) Sulfate @1260 (433 B. Give the oxidation state of each element in the following (2.5 each) :5 ~\ \
NH: ,6 ~2
‘i‘ .)
C103'
45%
PF3 +292‘Tl
Zn(OH)42‘ C. Give the electronic configuration of the following atoms (2.5 each) S [N33 3513 PU‘ W 1 (2)4 , ’—
Nbl 3E5 L} ~ ,‘ , (mil dab
Oak; McQV/hﬂllﬂ +1) {AM/Ham“ AKCLP‘KA < [\5/3 531%0‘3 D. Give the possible quantum numbers for the H—atom wavefunctions (2.5 points
€649 If n=3 and m=2 what could E be? What could mS be?
)1: 6L Bum/0,13 M5 :3: ‘11 If n=2 and 3:0, what could m be? What could rnS be? ,@ M650 M§:i\/Z E. (brieﬂy explain 2.5 points) ‘E‘Ctdl Which is larger @rO? EEC(F C03 > 26g CB) WhichislargerKor' Owl6A 5WLL&’ \ﬂ Q‘O came— 55 J l0 K OJFQ List
Vatmce 6 ' in Kip (lice WWW. SLULLELQ,d“i/LL0«1’\’YLCCA}( m K F. (brieﬂy explain 5 points)’l’b’fa,Q Which has a larger electron affinity .or Cd? Which has a larger electron affinity S [email protected] {MIC l) 7 2, *1/66) » The work function for sodium metal is 2.28 eV. If a sample of sodium is illuminated with a 1 W
Li laser at a wavelength of 532 nm, will electrons come off the sample? [A Watt (W) 1s a J per second] f .
he ((1; Wu XLoWJleZXLo?1MS')Z 3.5}le ‘0 3 ®MA V35 /\ 532 x Lo 01 m
5 If electrons are emitted, what 18 their average kinetic energy? A MAN 5} (30m 5u33xto‘03 JUNO ”A . If electrons are emitted, about how many would be emitted per second?
l L5 R‘ _ : a.’+x 10‘%' 34
S Zilxtb’ﬁil r L\/ If the 532 nm laser were replaced with a 400 nm laser, would the electrons still come off?
If so, would they have a longer or shorter wavelength (the electrons)? \lﬁﬁ/ SWOHC/Y’ WM.LLM5W (Eek/X ~— > A
VXC Lf
400nm E : 7 J /\L{Ot> : [Sm to m
§bit§tzgnth : ”32 A 5 21 may on '5 f : ‘ZﬁZ‘BeA/ l baleb all Q 143
. : SﬁLb
2. (15po1nts) $~Aﬁ Fﬂ”(f—l'c:\/ 2.3 3. (15 points) For a quantum mechanical particle in a box of length L, how many nodes does the n=2 wavefunction have?
All i 1E ‘l Write down the integral you would have to solve to find the protgibility of finding the particle p etween x=0 and x=L/4. L’ H
Z , .. "z Z‘ >6
(*9. n ' Z L L—
v D
t L
0 Guess the value of this integral Would this integral have the same value if the mass of particle were doubled? A Y6 , Hr 73ml “4.663 Wilmi— 4.(15 points) For the H~atom the solutions to the Schrodinger equations give a wavefunction for the n=2 1:1
which has the following radial component mlfolZiZJWE 1?] For hydrogen, at what value of r does this function have radial node, or does this function only
exhibit angular nodes? Below 1s a graph of the radial probability distribution for a 3s wavefunction in the H—atom, read
off the graph the most probable distance for finding the electron. Vim M A I 3 “J“, U l, 4 n S In 11 I»; it» How does this compare to the average radial distance for this function? (you’ll need to calculate (V‘ thisinA) ”SCH): %D+\ <‘_R(1+l)>]: 1n} 1% n25
i O gnaw rm ‘1“ b What would you expect for the most probable distance and the average radial distance for this same wavefunction in Liz“? Ll 63“?) i E593 : am a
5
Exped’ Same/Fm, may» prob I'M—h; %%(h‘*) > HH} T g", 20?01}Xt0 334 1. 1 . __ RqCQ {5/ 5. (15 points) (veil The first ionization energy of Ne is 2080.7 kJ mol'l. Use this to estimate the Zeff for the outer most electron 1n Ne. m [8225124097
bray 30b} 2%7931 21(9%@3(mﬂ%79<ﬁ>’ (25”; ‘0: go n7. About how many protons has the shielding “cancelled out"
5 (0 ~ 13’ E 3b 6 canmbui pvﬁi’U’L/L/Q The second ionization energy of Na is 4562 kl mol'l. Use this to estimate 26“ for the outer most A electron in Na+. San/Le 0L4} POI/Ct i A : oi
E up 3 ’7 3
What do these two numbers say about shielding?
AV Pill” NEH”) U» 3.'+:1:i % (3mm
Mal amok ML have 3mm Cw MW) acan “Vi/U; priQ/Lcqu 94950? l3 ’l/l/LQ SCLA’VLQ . W Niki/wee A %(a C Na 5 and a“; (N6)
Vmiog Sta/33¢ (1; Woman (b {ad/t admin/L S QV:—\’W/br BONUS (3 points each) Not worth much. Work only with “extra” time. NO PARTIAL
CREDIT! 1. Compare the energies of an electron in the ls state of hydrogen and the 2s state of He+.
Which has a larger radius or are they the same. Explain briefly. , ”Q3“ . . ,~Zl , “ liOl
Eho< '7 (12%“) 31’ ‘22 / 1 L1 ’
n Etc4% ,etralct www w mime, MW WM, m
M‘lvmm [A ‘l’L/Le (13 SW mot/(3+ lax, 961Vﬂm/ 'FVGWk “Wu nuctw= r25 (leaf) 7 (is (H) 2. Sketch what you think the ground state wavefuction would look like for a particle in a box
that had a potential energy “bump” in the middle of the box. (see potential plot below) ...
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 Spring '07
 Holcombe

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