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g in § equilibrium ·'T." ~ "apor pressul-e: Thc " partial pressure of the :2 gas in equilibrium,t with liquid depends on temperature: equals I atm at "Th ." HINTS FOR BALANCING EQUATI

Trang 1

, -.-­ d -subshell

=

1 01

N

I

*x

=

,.

II K Sc Ti V Cr Mn Fe Co NI Cu Zn Go Ge As Se Br d:< .y

39.10 37 4.08 44.96 38 3' 47.88 40 50.94 5200 54.94 41 42 43 55.85 58.93 58.69 63.55 45 , 65.39 At 69.72 4' 72.61 SO 74.92 78.96 7951 52 90 53 83.80 54 - , (} ­

y' - O -""

Of

=

85 47 8762 88.91 9122 92.91 95.94 97.91 101.07 102.91 106.42 107.87 12.41 114.82 118.71 121.75

23

132.91 137.32 138.91 178.49 180.95 183.85 186.21 19020 192.22 19508 196.97 200.59 204.38 207.20 208.98 208.98 20999 222.02

87 8& 89 104 lOS 106 107 108 109 110 111 112 113 114 115 110 117 118

30

90 91 92 '3 94 95 '0 97 98 100 101 102 103 v. _

Th Po U Np Pu Am Cm Bk Cf Es Fm Md No lr Y~r·

23204 231.04 238.05 23705 24406 243.06 247CJ1 24707 251 =al 25710 25810 2&1.10 WIll s

ATOMIC STRUCTURE

Atomk Number, Z: # or protons in the nucleus:

atom Z = # oreleclrol1S; lor all ion ol'charge -q Z fq cleclron n: principle L: angular momentum (orbital shape)

for calion of charge +q Z-q electrons Mass Number,A: A= Z + N m,: magnetic (orb al irection) m.: ciectro

the number of ncutrons in the nucleus Isotupes: Atol11s with the For each 11 the possible 1 values arc O I n-l; lor each I the po s

same Z, dinerent A An clement can have a !lumber or isotopes; any m, values arc - I .0 +/ : n\ has two possible value : + II a n d - '/ , (spi

up spin down) Each value orn den tes a "shell" in e alomic slruc­

sample contains a number of isotopes; in practical work, lise the

ture: each I denotes a subshcl

isotopes Ii)r a given element) s-orbital: I =0 I type p-urbital: 1= 1 3

60 \Id I\! l! Od \' 1l111 1 111

Nuclear reactions alter the nucleus: part ides ejected or absorbed Aufbau order for filling sublevels 1>4 l id Ciadliliniuril

lor Ihe hydrogen atom are used to

describe all many-electron atoms 66 Dy J) ys pn)~iurn il,lIows Ihe Einstein Equatiun: E = mc' and io s A more rigorous trcat- ~ , r J/, I 4.J 1 67 Iii, Iltllmium

menl cielermines exact energy lev-~JiU}t~" 3., I 41' ~ ~ I 5{ 69 Tm ItlX,lJ Thlililllll

71 Lli 175.11 Lulclillill

Types uf processes: ''',,'' i, ,,, ,"b~ ,' "Il , " , ,, d;IT,,,"' '""' ~ ~ , ml n I II" 17X" l1alili mll Transmutatiun: New clements made li'om particle collisions gics The filling or levels is guided by the i 7 r 7.1 Ta IX1l ~ Tanl allll ll

Fusion (small atol11s combine): H-I + H-2 -> He-3 Aufbau Principle: 7, 74 W IUS T Ull g si 11

7 R 1 8 ~ /{h i: l1IUIl1

0 0 + II, H Is-orbital 7Y Au \9 7.0 (.uld Radioactive decay: [ First ton,zation Potential vs Z [

XO Ilg 2UI).6 Nlcn.:ur y

! 25 t'H-fe" -""""CC ­ 2 0 0 + II Li 2s-orbital r'b 207.2 Lead

~ 2 0 tft _~ N ~ e-~ - 2 0 0 ' /, Be spherical J1i 2 Y Ui~mul11

U-23S ==> a -I Th-234

'Ydeca)' (photon): Accompanied c: 10r1~-+_r~ A<~ 2 +1 + 'I, N

'~ 5 j-.JL c1F -clIC= = - ' I ­

P 'c 0 ' - - - ­

electron configuration: Atomic orbital occupancy [ Electroneativity vs Z Atomic Radius vs Z Pauli Exclusion Principle: Each electron has a unique sct or quan­

tum #s An orbital may hold up to two electrons one with spin-up

3 In = + 1/: and one with spin-do\'.ll m = -I/::

~~ ~ ul50~~~~-~ -~ H~nd's Rule: Electrons rill p d and f sub-shclls in a manner to max­

imize the number of unpaired electrons (hal l~rilkd orbilals)

5 2 ';; '" loo t- t = "' ' ' ' ' - - - -=­

ionizatiun potential (IP): Energy required 10 remove cieCiron

:;: 0 l _ _ _ _ _ _ _ an atol11 or ion First IP: Removal or rirst valence electron

iIi

00 5 to t5 2025 30 3540 o 5 10 15 2025 30 35 electronegativity: Tendency or an atom to al1rael electrons in a

Atomic Number Atomic Number chemical bond; 0-4 scale 0 1'01' rare

1

Trang 2

formation: Elements to compound; C + 2 H, =>

combination (synthesis): 2 substances ">rIn a

-2 Na + CI, => 2

ox

(s

(sec expanded se

decomposition: I substance yields 2 or more subs

2 HgO => 2 fig +

displacement: Elcnlent displaces

compound; Zn , 2 HCI => H, + Znel,

double displacement or metathesis: F:xchangc anions

precipitate: NaCI (aq) + AgNO,(aq) => AgCI(ppt) f NaNO,

combustion: Exothermic reaeiion with oxygen: C + 0 => CO ,

PHYSICAL PROCESSES

melting (s => I): (j'eczin (I => s)

(at I atm normalmclting point "T "

evaporating (I > g)~ condensation (g => I) III

(at 1 all11, normal boiling point "T,,"')

sublimation (s =>

solution formation = mixing 01' gases

distilla

mixture hy slective

Liquid

triple point:·s I g in §

equilibrium ·'T." ~

"apor pressul-e: Thc "

partial pressure of the :2

gas in equilibrium,t

with liquid (depends

on temperature):

equals I atm at "Th "

HINTS FOR BALANCING

EQUATIONS

Find the whole-number coefficients which give the same

amount or each e(cment on each side of the equation

Identify e ch element involved in the reactio

Change eoelTicients only not the f

Apply coclTicicnts to e h atom in a polyatomi

Determine th net charge lor each side of the equa

Must be balanced in the

Start with the element appearing once on each side

Next focLls nn the more complex compounds

II' an element appears in a pure form, leave it to the last ste

It may help to use fractions to balance the

integer coefficients n!'ter all elements arc balance

Final step make sure c(Je lTicients are the smalles

numbers

Remember: Always chee, your work I Make SLlre that the

same number of cach type ofatom and the same total charge

are on e ch side of the equation

NOMENCLATURE

Chemical

Stan with the "cation" name

1l,lIowed by "anion": use

fixes to a

from clement na

Organic: Separate naming sys

~-('2' - - • " ,

Chemical Formulae Cation symbol followcd by anion

Subscripts denote relative composition

Enclose polyatomic ions or molecules in parentheses

Mol~cular Formula: Discrete molecule

Empirical Formula: Relative molar ratio of elements for solids or molecules

Transition metal: Valence varies, give the va are less confusing

ferric Fe (III)

stannic Sn (IV) stannous, plumbic Pb (IV)

cupric eu (II) cuprous mercuric Hg (II) mercurous

ammonium, NH +

hydronium H,O+; active f(lI'Ill ofacid in water

@ carbide C silicide

@ nitride N .1' phosphide P ]' arsenide, As

@ oxide ° ' - sulfide S " selenide Se 1- telluride Tc

8) hydride H halides: fluoride F' chloride CI ' Br~ iodide I Acids: hydro -fiuoric, - chloric ·bromic -iodie Polyatomic anions (& respective acids)

8) acetate, C,HP', aceti c a id, C,H,O

nitrate NO.; nitrite NO, nitmlls acid

hypochloritc ClO­ inpach/ul'Olis acid, H

chlorite CIO,' chloroll s

perchlorate ClO; perch/oric a c id , HC/O

hydroxide OH' ./i)rmed h.\' has e

bicarhonate or hydrogen carbonate, H C

bisulfate or hydrogen sull' permanganate M

@ carbonate cot carhoni c acid, fi, C

sulfate, SO," SII/fill'i c ocid, if, S

sulfite, SO, , s lI/fimJl(s {/cid

chromate CrO, , chmlllic acid,

peroxide 0, biphosphatc or hydrogen phosphate HPO/' dichromate Cr,07 , thiosulfate s ,ot(thio: S subsl tor 0 atom) disulfide

-phosphate, po ," p/IO 'phori c acid, H,PO,

@ silicate SiO, ,~ ,i/icic uc id H,SiO,

Reaction equation i ~ a molecular equation; the maSses or individualmokcules are too small for routine us The mole (Avogadro's number or atoms particles or molecules) gives

a morc usable quantity

The molar mass of a material is the mass (in grams) of I mole of the material (the formula weight or molecular weight) It is determined by summing the atomic weights

lor the ements comprising thc material, weighted by the I'ormula coefficients (e.g I mille of c rbon-12 is 1.0

The balanced molar equation can alsll be vie

anced molecular equation with the coen-icicnts inte

as molar qua theoretical yield: Mass of pro ucts is determined fro

mass of re ctants molar mass and balanced equati

limiting reagents: For two or more reactants the OIlL' co

sumed first will limit the amount solution calculation: Number of moles = solution (in liters) x the molarity (moles per liter) of the reag

2

MEASUREMENT Be UNITS

rnass: Kilug ramlkg) = 1,000 g 2.2tJ46 pound I~ngth: Meter (111) = ItJO em - l.tJ936 yard = 10'" A

time: Second ( ); temperature: Kelvin (K)

T(K) =T("C)+ 273.15 T(,'F) = "I" T ("C) 32

Boiling water _ mJ: _ _ _ j.QQ"j:';- ­ -­ -· 373 K Body

temp

Room temp

-310 K

-293 K Freezing

water

_~;;> : c_ _ _ _ O : C _ _ _ _ _

-­273 K

volume: I iter (l) = 1.0110111 L - 1.0567 quart

pressure: Pascal Pa ( N / I11 " ) : atm - 101.325 I'a

force: 'lewton, N (JIm); chargc: c·Qulomb l'

energ : Ioule • 1 (kg 111'/s) = 0.~3901 ca lo e

Prefixes tera T (1012) ~iga (; ( j(J") mega M ( 1"

kilo k (10' ) centi c (1 0 ") millim(I() '

micro ~I ( Itt", nano n (10-") "ico p (1 0'''

R = R.J I4.1 n1Ole" K ' (Io rencrgy calculatio )

R = 0.082 I atm mole" K ' ( for g s pr"pert ealclliatinn)

Avogadro'S Numher: N, 6.021 x 10" mole " Boltzmann constant: k R f N, U RI , In " J Illolcl'ulc-' K·'

Elementary charg" of the el,'ctron e: 1,(,02 x I(J ,,' C

Faraday Constant I : c h"r~ c of N c!cctruns

Mass of a proton m : 1.6 3, 10 ," k

Mass of a neutron, m,,: 1.675 \ III 27 k Mass of an electron m : 9.110 \ 10 " h!

Planck's Constant, h: (~.62(, x 10" I s ­ Speed of light in a vacuum, c: 2.9 97 ~ \ Ill' m s·

CHEMICAL INTERACTIONS

A Electronic Properties:

sity relative to the cenll:r ~ )r l1la~s: imparts partial l:hargc to

thc molecule: /1= 0 for symmetric (II,)

, > for asymnu'tric:

O + H _ Cl e ­ polarizability: Tcndclll:y ofl:h:clron c10UlJ to distol1 fmm equi­ librium due to ternal ckc lro ~ tali cs : inl'reaSl'S with atom size

B Intermolecular (betwe n molecules)

London Forces (DiSCrsion): t\t1radion or Induced-dipole

tnO T1l em~ ; stronge fllr ll1C.wc polarl/ub1c ~pc cie s: nCl!OU nb

1;:'11' liquc:faction of g<J ";t.:s like argon ti nd m~th a nc

dipole-dipolc: Molectllcs wilh Jipolc 11i01 Jle.Jlb CXl'K!ri cl lI':c ~t trnc li\c forces for ccnain rdlli\c o ri~ n tntio n :{ 13ascL1 O ~k-eL r (i ~ wtir : fu rcc~

s+ stable S- S+ 1'­ less st0+ o· Sab' 0+le hydrugcn -bond in~ : E n n t.:~J u ip o l (.;-i ll t~r; l t: tion hctw""""ll h ro

gl.!l1 (iran -011 or -Ni r(Jt!p arid a Ilc.:alt)y oxyg~lll ) r nitrogenatolll

cl('ctrostatic: trong intc.:ral:lion lX'h\ il.'l.'i l iuns: allra~ l i\'\ ~ (oppn­

~itc c h arg~:t;) or rcpulsiv(' (/ (: I.:hargc.:s) Imcr"ldy prop\lrtivn:ll

to d i ~tan cc and dielectric ~{)list n nt of iht! llll.'diUTll Wakr h~l 3

C Chemical onds ( bet,, ~~ n atoms in llIo l ~cu l es)

valence electro : The o ter det:toll:-; \\ hich form thc mi c l bonds The rl.!: l of !hc clcdrons (inIH.:r- hL"ll) flrC 111l:rI curl' electrons Bonding is described with three ideal modek covalen bond: lcct r on~ an: shared: the pohtriy of th ~

ionic bond: I- Ic:ctrustatic inlcr,l( tiutls iJct\\ \ 'i.:1l ion:-::i.:reat",'ll by the U UllS­

ter ofelectronsbcrvvecn atom , to create! kIllS \\ ilh fil led \ ·mx· : hell

metallic bond: Electron, arc doloc"li7c(1: Shored by n large

numb!.!r ofmdnlJic nuc":i

real bonds: P:\rtially conkntlpartially ionic Dil1l:I"(,JlcC in

ch.!clroncgativity dClcnnlllCS the t~ ' D i\lllic L"ilar;ll :tcr

Io ic Cha racter I

::::;:= '!zzTf¥

0.5 1 1.5 2 2.5 3 3.5 Electronegativy difference

Trang 3

FORMAL BONDING MODELS

H:H : ¢I : 9.1: g::g

H : 9.1:

4 bonds (exccpt H, which will have 2 electrons, and

atoms with d-orbitals, which cn form 6 bonds e.g SF,,)

multiple IKlnds: Bonded atoms may share 1,2 or 3 electron pairs

number of neighbors Single bond (order 1.0) double

triple (3.0), may be fractional For

rL'sonance: If dillcrcnt Le\vis structures

electrons, relative to the li'ee atol11 Calculated as t(lilows: (#

of valence electrons in li'ce atom) - /, (# bonded electrons) ­

(# lone pair electrons ) Other things equal: Structures with

smaller formal charges arc morc stable, place negative charge

" -= _~ _ = = - _ _ _ -= _ _ _ ~_ o: -

BF3 ~I=O Hybrid=sp2

NH3

AX2E2

H2O

T-s haped

AXl2

I 13

AX2E3

ICI2-AXSF 6 oct~I=O ahedral Hybrid=sp3d2 •

S, p, d and f AOs can mix or hybridize to form equiv­

alent lone p irs and bonding pairs orbitals Supports

VS EPR model S and p can h bridi Le to sp (2), Spl (3)

or sp' (4 equivalent orbilal,); d orbitab expand the

options to five (sp'<l) and six bonded neighbors (spJd)

+

+ 2p,

Geometry: Valence Shell Electron Pair Repulsion

Particle-Wave Duality: Electrons and lighl exhibit waw and par­

ticle character The wavelength (A) of light desclibes the "color,"

related to the fj'cqucncy (v) and spced of light (e), by AV ~ c: th

energy of light is quantized in photons, hv (h, Planck's Constant)

In simple form, the electron wave-property is described by the deBrUJllic mooel: the A is related to its mass (m) and velocity (v)

by A= h/mv Eleclrons in atoms occupy discrete energy levels and are described with quantum numbers and wavelike atomic orbitals (AOs) The Autbau principle guides the tilling or Ihe atomic energy levels The complete description ofthe wave char­

acter is termed the wavefunction 1jf The AOs give IjI lor an atom

MOs give the IjI tor a molecule; each MO is a

enee: A less stable

8 1 a '~

~

rr

a: ofT ax is arc termed

rr Antibolllling inter­

actions arc notL'd IT

and G'

density in the bonding region

for electrons in the molecule As for

BEHAVIOR OF GASES

P: Pressure is the force/area exerted on the container walls (in atm, mm IIg, Pal V: Volume of the gas sample (in liters)

273.15 K one molc ortdeal Gas occupies 22.414 liter

Bovle's Law: P x V is a constant lor fixed T: p ~

-1

~o

:J O

>0

Gas is 3/2 RT; the velocity (rms) for a gas with

"M" at a given T is (3RT/M)' (the average speed of

expands into a vacuum); also fits diffusion j()r low P

3

• Gases liyucfy at low r and high P_

• Mulcclill's haVl' rotational anti vibr.l liuna energy

adds terms t~'r 1l1l1]ecuiar volume and inlcnnl)lcl'uiar n tt rn('ti(m~

MIXTURES 8& SOLUTIONS

Phvsical cmbination: Solule (,ulid or les 'cr amount) dis­ sol~es In the solvent (liquid or i3rger amount)

more disordered than ,cparate pha,cs

Variable Factor: Interaction between materials "I ike-dissohCs­

liI,c"; polar materials mi'l (miscible), u.s do nonpolar Pular and

nonpolar arc usually immiscible (furm sepanlte liquid la)cn»

Solution unils:

M: Molarity -moles of solute cii"olved in I lilcroi'soluuon

Ill: Molalit) - l110les of solute per kg or soh en!

x: Mole fraclion -1110le of solute divided by tMal l11ules

colligative propel·ties: Dep nd o ly 0 11 the llul11ocrot'solute par­ ticles lind the identity of the solvent Ionic matelinls tlis"x:iatc

vapor pressure lowering:

feezing pt dc pr es~io n :

.1.T= -m 111.:k rp (con~tal11 depl'nds on "iu!n:nt)

boili ng pt, elevalion

Il.T= m"",,,k hr (constunt dep nd

osm

n M~(/ltU~ RT R is the Ideal ,as constal1l; account\ f'

gor pressure in rlunts and ' hapc

oxidation #: Element (0), ionic substance

io , covalent compound (charge on atom if all

electrons shi n to the more electonegat

redox chemistry: I.kctr(lils arc exchallged in the reaction

View rection "A +B A " in two stcjls (half-reliction,) t'irst oxidation: (A loses elcctrons! A ~

thell reduction (B gaills electn",,), l3 +e

-A + B I(lnll th e pmtluct

Balancinl( Redox Reactions: Tvv" eOl11lllon approuehes:

I lJalr-Reaclion ~I c thod : IJalance Ihe reduction and o.\ida­ lion "hal r L'Ul:llon:,:' ClHllhillC \\ it h electron l1(m halalll:t.!J

o Oxid:lHnn-Number Method: I~e lily change, In elements

\ ll.!ncl!: hillnt.:\! C k C ln)J)- c\t h ang~

Foracidlc: Usc II () anJ II ,0 II ) hakJl1cc For Ixt"ie: lisc Oil aJ1~ fLO

Examples of redo\ reactio battcry/gahanie: n(s) ~Cu (a'l ) > Ln' laq) +

electrolySis 2 110 () 2 II, (g) 0 , (g)

c rrosion: 2 AI (s) 30'(g) ·

dectrochemical cell: An external CirCUit

tmdes (anode - ,itc uf Ll\idalo anti cathode

reduction) 10 facilitate the reactio

cell EMF: Electrical potential generated by the cell: f >

for spontall!.!Ou:,

galvanic (vo llaic): pontancolls reation produces a nO\\

current; u,;ed to make batt

Diagram for Zn eu cll: n(s) IZn' (aq) II ClI' (aq) I(lI(sl

Trang 4

electrolytic: Exte:nal currentivolt- Electrolysis of molten NaCI

age drives the reaction

powered electrolytic process

For E < 0, reverse

neous AG = -n Jt ( 7, Farad

constant, "n" mol es or elec

trons); reverse' a tion, ch

th sign of the

Standard poten

EY :::: Etlan",!.: + EO (.';!lhm J,:

Reduction poten­

tials: Standard tab­

ulation of electrod

half-rea tions (writ- 2 CI-(I~ CI2(g)+2e- 2 Na+(I)+2e 2Na(l)

ten as reduction)

Reference potential: H, electrode O OU V

o Non metals: E, + 2 e~ => 2 E-

A larger, positive numher is evidence ofa more reactive materiaL

Fo 2.87 I, 1.36 Br, 1.09 1 54

o Metals: M ' (aq) + x e-=> Metal

The positive value is evidence of a less-reactive metal

Ag(l) + 0.80 Cu(ll) + 0.3 Pb(") -0.13 Ni(ll) -0.26 Fe(II) -0.45

Zn -0.76 AI-I 6 Mg -2.37 Na -2.71 Li -3.04

Aqueous Solubility:

acdatt: chlori(it: fluoride sulfate carbonate oxide

nitrate bromid : sulfide

chromate

i.iJl1lll0n iUlll rSOlu ~ ~e ide

Ca Mg s insol inso

Sr Sa insol insol inso

rc, Cu Zn Insol s ins-ol

P(ll) lIlso1 Illsol insol insol

Ag Illso1 insoi ins

Chara

violet: potassium, rubidium,

green: copper (emerald), barium (yellowish) zinc

yellow: sod

red: lithium (carmine), strontium (seariet), calcium (yellowis

ACID-BASE REACTIONS

Self-ionization or water: H10 <=> OW + HJO

K" = 1011-IIH,o' 1 = Ixlo- I' at 25"e For all aqueous

Neutral solution 10H-1= IH,O+I =

IxIO-pH = -loglII[H,O'I: A measure of acidic strength:

solutions, pH = 7; acidic, pH < 7; basic, p H > 7 (eg a

M solution of H,O has a pH of 2) pOH (pOH = -logl

can be used for basic solutions H + pOH = 1

Acids (HA): HA + 1-1,0 <=> A- + H,O

A - s Iii" co n i l/gal e "ds" ()/' Ih e aci d HA

Strong acid total dissociation: HC I HBr, HJ, HClO, H2S0

and IINO,

Acid equilibrium is described by K" = [A-][H,O ] [I-IA]

Weak acids have K « I pK, = -loglII(K

Common weak acids (pKy acetic (4.1 ); IIF (4 15); nitrou

(3.35): c rbonic (6.37

Lewis acid is an electron pair accepto

Bases (B): MOl 1<=> OH-+ M

B + H,o <=>

HB i s th e cOl/iI/gale a cid oI ,h" hase B

Strong base, complete dissociation: NaOH, KOH and Ba(OH)2

Base equilibrium is described by Kb =

[OH-Weak bases have Kb « I pKb = -Iog"i Kb) Common wea

bases (pK,J NH, (4.75); C - 4.70)

Lewis base is at ;electron-pair

Polyprotic acid: A compound with more tban o e i

proton (eg H,SO"H,

Amphoteric substance: A material which can react as

or a bas c

fOlming OH- or H,O :A + H20 < > HA + OH (basic, ego

F-or acetate); HX + H,o <->X + H,o' (acidic, ego NH, )

butTer: A solution ofweak acid and a salt ofits conjugate base

or a solution ofa weak base and a salt of its conjugate a id The mixture maintains "constant" pH, Henderson-Hasselbalch

equation for an acid/salt buflcr: pH = pK" t log",([salt]/[acid])

acid-base titration: React a known amount of acid with

a basic solution of unknown concentration

At the equivalence point: a moles ofacid = the moles of

base b For stTOng acid-strong base titratio , pH = 7 c

F r weak acid-strong base titration, pH >7 d For weak base-strong acid titration, pH <7 (Hydrolysis of the salt

ions changes the pH ofthe soluti n)

Reactions: Acid-rain Sulfur and nitrogen oxides react with water to give acids Strong acid/bases react with metals, produce H, and saiL Carbonates are decomposed

by acid Copper + nitric acid produces nitrogen oxides

EQUILIBRIUM

o Reactions to completion: All reactants are converted to products

o Equilibrium: The reaction reaches a steady state of for·

ward and reverse reactions

For: aA <=> bB: The equilibrium concentrations of

reagents, [At, and [B],." arc constrained by the relation­

ship: K'G = [Bt,b/[At,"· K is a constant, characteristic

of the reaction at a given temperature

o Solubility Product, K,p: Defines the equilibrium

between a salt and its aqueous ions; for AX" the equilib­

rium is AX/s) <=> A" (aq) + 2X-(aq), a;"d the K" = lA'-][Xl'; small K,p = low solubility

o LeChatelier's Principle: The equilibrium shifts in response to changes in temperature, pressure or reagent concentration A < > B; removing B or adding A shilis equilibrium towards the product

For increases in pressure, the equilibrium shitts to lower the total pressure (increasing the pressure raiscs the con­

centration) Most relevant for gas-phase reactions

o Exothermic reaction produces heat: ";\ <=> B -t heat" ; lowering the temperature removes heat and shifts equi­

librium towards the product Raising the temperature has thc opposite eflect

Endothermic reaction absorbs heat: "Heat + A <=> B";

raising the temperature adds heat and shifts equilibrium

towards the product Lowering the temperature has the opposite effect

THERMODYNAMICS

The study of the heat and work associated with a physical

or chemical process

o Types of Processes:

Reversible, the system is in a state of equilibrium

Spontaneous (irreversible), the system is moving towards a state of equilibrium

o Laws of thermodynamics:

First Law -conservation of energy, (U): The heat (q) and work

(w) associated with a process are interrelated: 60U = change in the energy of the system must correspond

interchange of heat or work with an external

Second Law - entropy, S, is conserved for a

process The disorder of the system and ings must increase for a spontaneous

Third Law -entropy is zero for an ideal crystal at T= The system is in its lowest possible energy state and ordered

o enthalpy (H): AH is the heat absorbed or produced by

a process under conditions of constant pressure (normal lab conditions)

6.H<0 for an exothermic reaction and >0 for endothermic Enthalpies of Formation, 60 HV : The 60H for the synthesis

of the compound from standard elemental !orms at 25"C

Note: These quantities can be either positive or negative

60H = (sum of product"" H l!) -(sum of reactant ~ H~ )

o entropy (S): Thermodynamic disorder:

LlS is the change in order in a system For s => I or I = g, 60S

is positive (the product in each case has more random motion)

relative to 0 K Note: Hu!se {llICll1lilit:s are 1I1m~IS {)(}\ 'iti\'l'

60S = (sum of product S") - (sum of rl'actant S") Gibbs Free Energy (G): AG All -Til:; 6oG: The capacity of the system to perform \\ork

6oG=0 for equilibrium AG<O Illt· spontancou>: If

~G>O~ the reVerse process is ~

Free energy offormation, ~(;:'

-elemental forms 1C = (sum ofpnx.lud.1.(i\!) -at 2S"C (sull1ofrei.lctant H.3'I') -The equilibrium constant K•.•1 and ,L),G arc

relatcd by the equation: 60G = -RT In(l":, /

E, )

®Reactants Reaction progress P r od~ ®

KINETICS

Rates of Chemical Process

For a generic reaction: aA h8 > cC + dO thl' rate usuaily depends on IA] and [13J

First-order rate law: Rate - ', fA] "" k,[B]

A graph of" ln[:I vs time" i:- lllL'ar, tll(.' slope

rate-constant kl half.life~ I I~ : Th : lilll": n:quin::o for the concentra­

tion to decrease by a factor ofe tl, O 6~ 3 ' I: c\: Radioactive decay

Second-order rate law: Ratc - qAl' or k [BI'­

A graph of ""I I VS time" line,nc slop,· is lh,' ratc­

constant k,

Half-life ciwngcs during th Zero order: Rate - kll[A]" = The rate is independent "I' [AJ NOh': IAI"

Temperature-dependence of rate consta Arrhenius Law: k =A e-I: •K1 Ea is the-activati encrgy (cnergy barrier): a gl"ph of "In(k) \., I

is lincar, !>.Iop.: is -LlI R and the intc.=R"Cpt i, In( A)

Kinetics and Thermodynamics

A < > B: K fll = 1 · 1 /k ,k 1 is forward-rat,· co , t,lnt

and k., is reverse-rate Constant

CREDITS

Author: Mark

Artwo rk:

Layout: Rich M ar NOTE TO STUDENTS This QuickStudy" guide is an outline of the principles of

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