359CH 113 (HI

Used with Units)

Prefix

Mega

KllO

Hecto

Df?ca

Deci

Cent1

Ml111

Micro

Number Power of 10

1,000,000 1 x lo6

1,000 1 x lo3

100 1 x lo*

10 1 x lo1

0.1 1 10- 1

x- 2

0.01 1 x 10- 3

0.001 1 x 10-60.000001 1 x 1 0

L metre = 1000 mm wztre

1 cm = 10 mm Centlmetre

2.54 cm = 1 In. Millimetre

453.6 gram = 1 l b Litre

1 gram = 1000 mg Millilltre

1 lltre = 1000 ml Kilogram

1 ml. = 1 cm3 Gram

0.946 lltre = lyt Milligram

m

cm

mm

1

ml

kg

9

w

fl. $'?l~nl~bfl~end?$W;?i (Temperature Conversion Formula)

Oc z <OF - 32)1.8

OF zz 1.8 OC + 32

CH 113 (H) 361

Factors)

Weight

1 pound = 454 grams2.2 pounds = 1 kilogram

1 ounce = 28.35 grams

Length

1 inch = 2.54 centimeters1 yard = 0.914 meters

39.4 inches = 1 meter0.62 miles = 1 kilometer

Volume

1 quart = 946 milliliters1 pint = 473 milliliters1 cup = 236 milliliters

1.06 quarts = 1 liter1 cubic foot = 28.3 liters

Metals)

Metals

Most active metals ;prepared by electrolysis

Liberate H2from water

Oxides reduced byaluminum or carbon

Liberate Hfrom acl.ss

362 CH 113 (H)

C)(Atomic Masses (relative

t0l2 c = 12.0000))

TABLE OF ATOMIC MASSES (relative to 12c = 12.0000)

ActiniumAluminumAmericiumAntimonyArgonArsenic.AstatineBariumBerkellumBerylliumBismuthB0r0n

Rromine

CadmiumCalciumCaliformiumCarbonCeriumCeslum

ChlorineChromiumCobaltCopperCuriumDysprosiumElnstelniumErblumEuropiumFermiumFluorineFranciumGadolimumGallium

SpbOl

ACAlAmSbArAsAtBaBkBeB1BBrCdCaCfCCeCS

ClCrcocoCmDYES

ErEuFmFFrGdGa

Atomic AtomicNumber Mass

89 227.0278*13 26.9815495 (243)51 121.7518 39.94833 74.921685 (210)56 137.3397 (247)4 9.01218

83 208 -98045 10.81

35 79 -90448 112.4120 40.0898 (251:6 12.011

58 140.1255 132.905417 35.45324 51.99627 58 -933229 63.54696 (247)66 162.5099 (252)68 167.2663 151.96

100 (257)9 18.998403

87 (223)64 157.2531 69.72

Numbers in parentheses are mass numbers of the most stable isotope.* Most commonly available long-lived Isotope.

364 CH 113 (H)

Atomic AtomicSymbol Number Mass

Praseodylnium Pr 5 9 140.9077Promethium Fm 6 1 (145)Protactinium Pa 9 1 231.0359Radium Ra 8 8 226.0254*

Radon Rn 8 6 (222)Rhenium Re 75 186.207Phodium Rh 45 102.9055Rubidium Rb 37 8 5 . 4 6 7 8Ruthenium Ru 4 4 101.07S a m a r i u m S m 62 1 5 0 . 3 6Scandium SC 21 4 4 . 9 5 5 9Selenium Se 34 78.96Silicon S i 1 4 28.0855Silver Ag 47 107.868Sodium Na 11 2% -98977Strontium Sr 3 8 87.62Sulfur s 16 3 2 . 0 6Tantalum Ta 73 180.9479

Technetium TC 43 (98)Tellurium Te 52 127.60Terbium Tb 65 158.9254Thallium Tl 81 704.383

Thorlurrt Th 9 0 232.0381*Thulium Tm 6 9 168.9342Tin Sn 50 118.69Trtanium Ti 22 47.88Tungsten w 14 183.85Uranium u 9 2 238.0289Vanadium V 23 50.9415X e n o n Xe 54 131.29Ytterbium Yb 70 173.04Yttrium Y 39 88.9059Zinc Zn 30 65.38Zirconium Ze 40 91.22

Numbers In parentheses are mass numbers of the most stable lsot* Most commonly available long-lived Isotope.

CH 113 (Hi 365

Symbol

Atomic

Number

Atomic

Mass

Germanium Ge 3 2 72.59Gold AU 79 196.9665Hafnium H f 7 2 178.49Helium He 2 4.00260Holmium H O 6 7 164.9304Hydrogen H 1 1.0079Iridium I N 49 114.82Lodine I 5 3 126.9045Iridium I r 7 7 192.22Iron Fe 26 55.847Krypton Kr 3 6 83.80Lanthanum La 57 138.9055Lawrencium Lr 103 (260)Lead Pb 82 207.2Lithium Li 3 6.941Lutetium Lu 71 174.967Magnesium Mg 1 2 24.305Manganese Mn 2 5 54.9380Mendelevium Md 101 (258)Mercury Hg 8 0 200.59Molybdenum H o 4 2 95.94Neodymium Nd 6 0 144.24Neon Ne 1 0 20.179Neptunium NP 93 237.0482*Nickel Ni 28 58.69Niobium Nb 4 1 92.9064Nitrogen N 7 14.0067Nobelium No 102 (259)Osmium OS 7 6 190.2Owwn 0 8 15.9994Palladium Pd 46 106.42Phosphorus P 1 5 30.97376Platinum Pt 7 8 195.08Plutonium Fu 9 4 (244)Polonium PO a4 (209)Potassium K 19 39.0983

Nur,k>er:. in parentheses are mass numbers of the most stable isotope.* Most commonly available long-lived isotope.

366 CH 113 (H)

36

37

3 8

39

41)

41

42

4 3

44

4 5

48

4 1

4 8

49

50

81

5 2

5 3

54

5 5

56

5 7

56

5 8

M

61

F2

63

G-l

65

cJ3

G 7

GH

69

70

CH 113 (H) 367

368 CH 113 (H)

H2 . 1

LI

1 0

Na

0 . 9

K

08

R b

08

cs

0.7

FC

0 7

Be

1 5

MQ

1 2

Ca

10

Sr

10

5.3

0 9

fla

0 9

SC13

Y1 2

La-L11

1 l-l 2

A C

1 1

82 0

Al

15

Tt V Cr Mn Fe Co NI Cu Zn Ga

15 16 1 6 1 . 5 18 18 1.8 1 . 9 16 16

Zr Nb MO Tc Ru Rh Pd Ag Cd In

14 16 18 1 9 2 2 2 2 2 2 19 1 7 1.7

Hf Ta W Re OS lr Pt Au fig TI

1 3 1 . 5 1 .7 1 9 2 2 2 2 2 2 2 4 19 18

Th Pa CI Np-Lw

1 3 1 5 17 1 3

N 0

3 0 3 5

P S

2.1 2 5

As Se

2.0 2 4

Sb Ts19 21

81 P O

1 9 2 0

F4 0

C l

3 0

sr

2 8

I

2 5

At

2 2

CH 113 IH) 369

Element

AluminumAntimonyArgonAWZiC

BartllmBismuthBOVXlBromineCadmiumCalciumCarbonChlorineChromiumCobaltCopperFlUXilEGoldHeliumHydrogenIodineIronLeadMagnesiumManganeseMercuryMolybdenumNickelNitrogenOYXygellPhosphorusPlatinumPotassiumRadiumSlllconSilverSodiumStrontiumSulfurTinTUngStenZiIlC

Symbol

AlSbArAsBaB iBBKCdCC3CClC:C Oc uFAUHeHIFePb

hSin

Hg!“toNiN0PPtKRaSiAZNa3SSnWzu

A,om,cWeight

2 6 . 9 8

121.753 9 9 4 8

7 4 . 9 2

137.342 0 8 . 9 8

!0.81-990

112.4LO.0812.01 I

35.4552.058.93ir j j s

18.9’)s196.97

4 0025

1 00s1 2 6 9

5 5 8 52 0 7 2

1431X935

‘ 0 0 5 99 5 9 45 8 7 1

14.01 5 9 9 9 4!0.974

1 9 5 0 9

39 102226 IO

28086

1 0 7 5 72299

37.62

3 2 . 0 6118 69183 8 5

6 5 . 3 7

1 3

5118

33

5693

5

35

4820

6

1 71427

29

979

2

I53

26

82I225

301278

7

815

i s1 9

18I.4

47

I I38

i6

‘ 074

30

3

3-5

03-5

-

2 . 7 0

4 . 1 5

3

3

1-S

22

A.2

l - 3 - 5 - 72-3-6-7

2-3

l - 2

-

5 . 7 33.519 . 8 0

2 . 3 42 . 9 3

8 . 6 41 . 5 43.51

3.217 70

8 98 . 9 2

1-3

0I

1-5-7

2-32-a

7

2-3.4.6-7

!-2

2-4-62-3

3-s

23-s

2-4

12:

1

12

2-4-62-4

2-1-62

-

19.3-

-

4.937 8 6

1 1 . 3 4

1 . 7 47 2 0

13 59

10 2

8 90

6 6 0

631-1189

8 1 7

725271

2 3 0 0- 7.2

321842

> 3 5 5 0

- 101:89O1195!083

- 2 2 01063

- 2 7 2

-2259

1 1 4153,

128

651!244

--

-

2 1 . 4 5

0 . 8 6-

2 . 3 310.5

0 . 9 7

2.6

2 . 0 77 2 8

19.35

7 . 1 4

- j8.9ZhiO

!-153- 210

-218

44.11769

63.7

7m?1410

96197.8

769

119

2 3 23110

419

2 4 6 7

1380- 1 8 6

613

114015602 5 5 0

59

7 6 51487

4 8 2 7

- 34 .62 4 8 22 9 0 02595

- 188

2 9 6 6- 2 6 9

- 2 5 3

1843 0 0 01744

11071097

3 5 7

5S60

2 7 3 2- 196- !83

‘SO

3817

774

< 1 7 3 72 3 5 51212

992!381

1452 2 i 0

S9279 0 7

370 CH 113 (HI

(Con

cent

rati

ons

of Co

mmon

Ac

id an

d Ba

se Solutions)

Reag

ent

Acet

rc ac

id (g

laci

al)

Acet

ic ac

rd (d

ilut

e)Hy

droc

hlor

rc acid

(con

cent

rate

d)Hy

droc

hlor

rc ac

id (d

ilut

e)Nitric

acid

(c

once

ntra

ted)

Nitric acid (d

ilut

e)Su

lfur

ic

acid

(c

once

ntra

ted)

Sulfuric acid (d

rlut

e)Am

moni

um

hydr

oxid

e(c

once

ntra

ted)

Ammo

nium

hy

drox

ide

(dil

ute)

Sodi

um

hydr

oxid

e (d

rlut

e)

Formula

Mcla

rity

(M!

Hc2H

302

17 6

Density (q/ml)

1.05

1.04

Percent Solute (%)

99.5

34

HCl

12 6

HNO

316 6

H2S0

4183

1.18

361.

1020

1.42

72

1.19

32

1.84

961.

1825

NH40

H15

0.90

58

60.

9623

61.

2220

I

mil9~ 11 qnrAa"aa4GMdn22arn"ui?4 7

(Boiling Point of Water versus Pressure)

Pressure (mm) Boiling point (OC)

700 97.714705 97.910710 98.106715 98.300720 98.493725 98.686730 98.877735 99.067740 99.255745 99.443750 99.630755 99.815760 100.000765 100.184770 100.366775 100.548780 100.728785 100.908790 101.087795 101.264800 101.441

372 CH 113 (HI

63 0.9763617 3 IO.07779371 ~0.3iiL15

CH 113 (HI 373

Liquid

Acetone

Carbon disulfide

Boiling Point

OC

56.5

46.3

Carbon tetrachloride 76.8

Chloroform 61.3

Ethanol 78.5

Ether

Methanol

,34.6

64.6

Water 100.0

374 CH 113 (H)

Water)

TEMPER-ATUREPC)

- -

05

101 51 6

1 7

18

1 9

20

21

22

2 3

24

25

2 6

27

28

2 9

30

31

T

-

F'RESSUREa

torr atm- - - -

4.6 0.0061

6.5 0.0086

9.2 0.012112.13 0.016813.6 0.017914.15 0.0191

15.5 0.0204

16.5 0.0217

17.5 0.0231

18.6 0.0245

19.8 0.0261

21.1 0.0277

22.4 0.0294

23.8 0.0313

25.2 0.0332

26.7 0.0352

28.3 0.0373

30.0 0.0395

31,E 0.0419

33..7 0.0443

- -

Pa

610

872

1227

1705

1 8 1 8

1 9 3 7

2063

2 1 9 7

2338

2 4 8 6

2 6 4 3

2 8 0 9

2983

3167

3360

3564

3 7 7 9

4 0 0 5

4 2 4 2

4 4 9 2

EMPER-I'URE(OC)

32

33

34

35

36

37

38

39

40

45

50

55

60

65

70

75

80

85

90

95

100

rL

PRESSUREa

atm

iE&i.37:7;0.0496

39.9 0.0525

42.2,0.0555

4 4 . 6 ' 0 . 0 5 8 6

47.1 0.0619

49.7 0.0654

52.4 0.0690

55.3 0.0728

71.9 0.0946

92.5.0.1227

!18.0,0.1553

149.410.1965

187.5 0.2468

233.7 0.3075

289.1 0.3804

355.1 0.4672

433.6 0.5705

525.8 O.G918

633.9 0.8341

760.0 1.0000

Pa

4755

5030

5319

5622

5941

6275

6625

6992

7 3 7 6

YSR3

12 , .3 3.3

15,737

19,915

25,002

31,157

38,543

47,342

5 7 , 8 0 8

70,094

'4.512

100,325

aUnl-ts in torr to nearest tenth ; atmospheres to nearestten-thousandth ; pascals to nearest unit.

CH 113 (H) 3 7 5

(Equilibium Constants for the dissociation ofComplex ions and Salts)

C o m p o u n d Dissociation reaction K PK

AMMINE (AMMONIA) COMPLEX IONS

Tetraamminecadmium(ll)Tetraamminecopper(ll)Diamminesifver(l)

Tetraamminezinc(ll)

Cd(NH,),‘+ = Cd’+ + 4N& 2 x lo-’ 6 .7

Cu(NH,),” = Cu” + 4NH, 8 x lo - - 12.1

Ag(NH,),+ = Ag’ + 2NH 3 6 x 10-1 7.2Zn(NH>),‘+ = Z;l*+ + 4NH, 1 x 10-q 9.0

HYDROXIDE COMPLEX IONS-AMPHOTERIC HYDROXIDES

Tetrahydroxoaluminate AI(O = AI( + OH- 3 x 10-t 1 . 5Tetrahydroxochromate(lll) Cr(OH),- = Cr(OH),(s) + OH- 2.5 -040Trlhydroxoplumbate(ll) ion Pb(OH); = Pb(OH),(s) + OH- 2x 10’ - 1 3Trihydroxostannate(ll) Sn(OH),- = Sn(OH),(s) + OH- 2.6 -0.41Tetrahydroxozincate Zn(OH).*- = Zn(OH),(s) + ZOH- 4x 10’ -16

CHLORIDE COMPLEX IONS AND WEAK SALTS

DichlorocadmiumTetrachloroaurate(lll) ion

Trichloroiron(lll)Dichloroiron(lll) ion

Chloroiron(lll) IO”

Mercury(ll) chloride

Chloromerculy(ll) ionTetrachloromercurate(lf)Tin(ll) chlorideTetrachlorosiannaie(ll) (on

Hexachlorostannate(lV) ion

Dichloroargentate(l) (on

CdCI,(aq) = Cd’+ + ZCI-AuCI; = Au’+ + 4CI-

FeCl,(aq) = Fe’+ + 3CI-

FeCI,+[aq) = Fe’+ + ZCI-FeCI” = Fe’+ + CI-

HgCI, (aq) = tigcv + cl-

HgCI’= Hg’+ + CI-

HgCI,*- = Hg” + 4Ci-SnCI, fag) = sn*+ + x-

SnCI,‘- = Sn” + JW

SnCI,‘- = Sri” + 6WAgCI; = Ag’ + 2CI-

2.5 x 10.’5 x 10-228 x 10-z

ai 1 0 ’

3 5 x 10-z

K , : 3 3 x I O - ’

KS: 1.6 x IO-’

2.6021.3

1 . 92 .9

1 46

6.46

6.741 5 0 72.24

1.48

45.3

OTHER COMPLEX IONS AND WEAK SALTS

Tetracyanocadmate(ll) !on Cd(CN),‘- = Cd*+ + 4CN-Thlocyanatoiron(lll) ~on FeSCN’+ = Fe” t SCN-Lead(U) acetate Pb(C,H,O,),(aq) = Pb’+ + ZC,H,O;Trlacetatoplumbate(lI) ion Pb(C,H,O,),- = Pb” + 3C,H,O,-Dicyanoargentate(l) ion Ag(CN),- = Ag’ + 2CN-DithiosuIfatoargentate(1) ion Ag(S,O&- = Ag- i ZS,O,‘-

5.7 x 10-1

3.3 x 10-z? 10.’

5 x lo-*

8 x lo-”1 x 10-a

1 x 10-4

2.5 x 10-71 x 10-m

4 x 10.”

17.1

3.04.0

6.60

2 0 013.4

376 CH 113 (HI

Acid

Acetic

ARsenic

Aluminum ion

Carbonic

Ferric ion

F'opmic

Hydrocyanlc

Hydrofluorx

Hydrogen peroxide

Hvdrosulfurlc

Formula

“ZH3’2

H3ASOqH2AsOq

HAS02-4Al!H2O);+

H2C03

HCO;Fe(H20j6 3+

HI"H0 2

HCN

HF

H2°2

H2SHS-

HClo

HNO 2H2C204

nc o -2 4

H3p04

ii?ytHP04

Ka(25%

1.75 x 10 -5

5 . 0 x 1o-39.3 x 10 -8

3 . 0 x lo-l21.2 x 10 -5

4 . 2 x 10-1

4 . 8 x lo-l14.0 x 10 -3

1.8 x lo-4

4 . 0 x lo-lo

7.0 x 1 0-4

2.4 x 1 0 -12

1 . 0 x 1o-7

1.0 x lo-l5

3 .2 x 1 0-8

-44 . 5 x 10

4.5 x 1 0-2

-55.5 x 1 0

7.5 x 1 0-3

6.2 x

-8

1.7 x10 -1210

Sulfuric H2S04 very largeHSO; 1.2 10 -2

Zinc lOI7 2tZn(H2014 2.5 10 -10

Formula ‘h (25OC)

Ammonia NH3 1.80 x 1O-5-

CH 11:3(H) 377

Substance K=P Substance K

sP'BaCO3BaS04

BaF2

Ca(OHJ2

CaCO 3

CaC204

CaF2

CaS04Cu(OHj2

cusFe(OH)3

Mg(OHj2

PbsPbso4Pb(Io3j2

2.0 x 10-9

9.7 x 10 -11

1.7 x 10 -6

10-67.9 x

4.8 x 10-9

2.3 x lo-'

1.7 x lo-lo

2.6 x 1O-51.6 x 10-l'

1.0 x 10-365.3 x 10 -38

9.6 x lo-l2

1.3 x 10-28

1.4 x 10-8

2.6 x lo-l3

PbC12 1.7 x 10-5

Ag2 SO4 1.2 x 10 -5

Ag,O(Ag++ OH-) 2.0 x 10 -8

AgBr03 5.2 x lo -5

AgCl 1.6 x lO-1o

AgBr 5.2 x lo-l3

-%I 9.5 x lo-l7

Ag2S 9.5 x 10-50

8.2 x lo-l2Ag2C03

Ag2Cr0 4 1.9 x lo-l2

La(I03j3 6.2 x lo-l2

FeS 1.4 x lo-l8

4.8 x lo-l7Zn(OHJ2

Zns 1.2 x 10-23

cos 1.0 x 10 -21

378CH 113 (H).

Name of ~nd~cat’sr pH interval Color cnange Solvent

Methyl violet

Thymol t’lue

Orange IV jtrcpeoim 00;

Benroputpur’rl 48

Methyl orange

Brompbenol blue

cmgo red

Bromcresol green

Methyl red

Chlorphenol red

Bromcresol purple

Lltmus

Bromlhymol blue

Phenol red

Thymol blue

Phenolphthaleln

Thymolphthaiem

Atlzar~n yellow A

lndlgo carmine

Trimtrobenzene

02- 3d

12- 28

13- 3 0

IZ- 4 0

31- 4 4

30- 46

30- 5 0

38- 5 4

4.4- 6 2

4.a- 6 a5s 684% 8360- 7 6

68- a 2

a o - 9 6

83-100

9 3-10 5

100-120

11 4-13.0

12.0-140

Yellow, blue. violet

Red to yellow

iied io yeilow

v1oiet tc, red

Red ?o orange !o yellow

Yellow ta blue violet

Blue to red

Yellow ! O clue

Red :o yellcw

Yellow to red

Yellow to purple

Red to blue

Yellow lo blue

Yellow to ,e*

Yellow to blue

Colorless to red

Yellow ! O blue

YdiOW to red

Blue to yellow

Coiorless :o orange

‘water

‘Water (t NaOH)

Wd:Br

20% arcohol

wNa:er

$J/a:~r (7 NaOH)

70% dlCOnOi

‘water (T NuaOH)

Water (r NaOH)

‘Water (T NaOH)

Water (- NaOH)

water

water (- Naoti)

‘Water (T NaOH)

Water i+ NaOH)

70% alcohol

70% dlcohol,

20% alcohol

50% 3lconol

70% alcohol

CH 113 (HI 3 7 9

-

-

m,

J

R

“2

mn

h

MP

R,

c

c

7

380 CH 113 (H)

Fll'2lSw" 20 Fl1519%3nl~Vk (Table of Logarithm)

-_

- -

I C’I.1I :II! 4I !i

I I,I ‘7

I .:iI ‘9?D?IZ?

2324

2.52 6212R293 031

3 2?3'4!lS1, 6

.I 73 k

19‘1 C!

a1 I,4 2

43

4445

4647484.9

5 0515.25354

555.6s.7

5s5960

0.-

n~iooINI4.0742I , 30

l'hl1 1761

20% I2304255327hX301032227424.1517

.3PO21979.4150.431444724621.4771‘2,914

5U5l5185531554415563S(l);?5798

%I1h01 I

(X12X6232h33S643'653:

h62ts67216X I :!69026990707117,hlIi2437324

.:10374h2

.7559

.763477OY77b2

I 2

(I!,43 llllhh0453 OJY?Oh?X Obh41173 I ?MlJ92 15231790 181X2OhX 2lNS233CI 2155

2571 .2fLJl2810 2833.303:1 ,303.3233 .3263344.l 3464.ihiri 365538211 XiK

.39Y7 4014

.4166 41x34330 4746

4487 45324hiD 46?44766 JkmI4s7x 494250( 5 507Q

.519x 5211S3?S .53%054:,1 546555'5 5581ShW 57055809 Sk21.5922 5Y13ho31 6012

6138 6149h243 6253

6345 hT556444 6554hS42 6551

hh37 hh4h

h730 6739.hF21 .hfiMf&I I 6920N9X .7007

7Oh4 .7093.7lhR 7177.7251 72597.(32 734074 12 74197490 74977566 .78747642 7649

.7716 .7723

77s9 .7796

OI2);(1531O h 9 91234I553.I847

.212223X0.2625.1X56.?OiS.32843421.ihi43ii5h

40'1%?O,,

43h2.45!XAh69.4K144955

.5iiY2

.t2245353.547fi5599

5717.?X32

SY44f-053

h I hO.6263636564646561hh5h

6749.hh3Y.d92X.70107101

.718572677346

.7427

.7505

75827657

7731

4 5

OliO 02120569 060709'4 0969.I?71 Ii03

15&s .I614

1875 19032148 '175.2405 24302648 .?672267X 29003096 3IlK3304 ?3?41502 3522

3692 37113874 3,592

404s 40554216 42i24?iK 43934533 .45484hh3 .469b4b29 .48434969 49x3

..‘I05 5119523: .?2105366 .537x.5490 5502?hl I .5623.5729 .5740sx43 ?k555955 59hh6064 fo-5

hIi0 61806274 6184hi'5 h3856474 .64X46571 6SbO

6665 66756758 .6767

6848 6157.hY37 .69467024 70337 1 1 0 711X7 1 9 3 7202

7275 .72R4.7356 .:364

7435 .7443.7513 .7520

7589 .75977664 .7672

..7738 1745

.7x10 .7X18

h 9

0253 cl?94 0334 (!::A

.Oh45 001'2 o-19 (,,ii

1004 .103X I(172 I llif>1335 iih7 I ?YY ,4 :<I

I644 lhi3 i Y? .1-i

.I931 1959 19s: 2(1!4

2201 2227 217 2279

2455 ?‘a0 2sw 2529

2695 271x .2;42 27hS.292! 2945 2Yh7 29h9

3139 .!I60 ?Ibl ??Oi

3345 3365 3:x5 .X:X

3531 3ShO ?57Y ?Yh

.i729 .3747 .3?6h 2754

.3909 .3Y27 3Y%2 19h7

4082 4099 4116 4!?7

4249 4265 4261 429h

J-m9 4425 441!1 4456

4564 4579 4?94 4609

4713 472x 4742 4757

.4857 4871 4h'hh JYOO

4997 5011 51124 .5f)?b

5132 5145 5159 51:2526-I 5276 5?h9 5302

5391 5403 5416 .54?L

5514 5527 5539 .5551

5h35 5647 ShiK ShiO5752 5763 5775 57Yh.5&6h .Sh77 5Xh8 58995977 5988 5999 ho IO

hUX? h096 6107 6117

6191 h201 h212 h222

h294 6304 h-414 6725

6395 f&IS MIS 6425

.6493 6X13 b513 65226590 .6599 6h09 hhlR66,R4 66?3 6702 .hil2fv776 h?X5 6794 .hhD3

hkhh 6875 c5Pli-l hh93

.6955 6Yh4 6972 69t; I

7042 7050 7059 70677126 7115 7143 71527210 7218 7226 7235

1292 7300 7308 7316

7372 7380 .73&K 7396

751 .7459 74f76 7474.7528 .7536 .X43 7551

.7604 .7612 .7619 .7627

1679 .7686 .7694 -7701

.7752 .7760 .7767 .7774

.7825 .7X32 .7639 7h46

CH 113 (HI 381

Logarithms of Numbers (conr )

8 0 I 2 3 4 5 6 7 8 '3

6.1 .7x53 .7X60 7868 .x415 .7882 .78X9 7896 .7903 .79lO .iU,‘

6.2 .7924 .7Y31 ,793s .7945 .7952 .795V 7966 7973 7980 .lY\.

63 .7993 .a000 .8007 .8014 ,802 I ,802s .8035 .XOJI .804X I;ni i

6.5 .8062 .8069 .6075 .80X? .X089 .X096 8102 .a109 .X116 .81!1

6.5 .X129 .8136 .a142 .814Y .8156 .8162 -8169 .X176 .X182 Xl\,)6.6 3195 .8202 .8209 .82I5 .x222 .522x .8235 .Y?JI .8248 .R"l67 .8261 8267 .a274 .82X0 .8287 .X293 .x299 A306 .8JI? .&I!4

6.8 .8325 .833l ,833 .8?44 .R351 8357 .8363 83?0 .X376 n.:x:

6.9 .83X8 x395 .8401 .8407 .Y414 8420 .B4?6 8432 $139 841T

7 0 8451 .8457 .8463 .8470 .8476 .8483 .848X ,849.l .YSOO .W?r,

7.1 XSl3 .8519 ,852 A531 .8537 .8543 SSJY .855S .X561 .HSh‘

7.2 ,857) .857Y ,858s .a591 .a591 .8603 .eflo9 8615 .Kh?l X62‘

7.3 A633 .3639 ,864s .8651 .8657 8663 8669 8675 .86&l X0%

7.4 .8692 .8698 .a704 .8710 .8716 .8722 .8727 .8733 .x739 .x-ii

7.5 ..9751 .8756 .8762 .a768 .8774 .I3779 .8785 .8791 .YiY7 .nno

7.6 .8808 .8814 .8820 8825 .8831 .X837 .8X42 .&us .a54 .nsw

7.7 .8865 .8871 .a876 .a882 .8887 .8893 8899 .BYOJ .x910 .SVli

7.8 .892l .8927 .8932 .8938 .8943 .x949 .8Y55 .X960 8965 XV:1

7.9 .8976 .8982 .8987 .8993 .8998 .YOO4 .9009 9015 9020 .911?5

8.0 9031 .9036 .9042 .YO47 .9053 .9058 .9063 .9069 YO74 .9ii-'/

8 . I 9085 .9090 .9096 .9101 .9106 .9ll? 9117 .9l?? .912x 9113

8.2 9138 .9143 .9149 .9154 .9159 9165 .9170 .9175 .9180 .9I itl

8 3 .9lYl .9196 .92Ol .9206 .9212 9217 9222 9227 9232 Y33Y

8.4 .9243 .Y?JX .9253 .9258 .9263 .9269 9274 .Y?79 .9?,94 .Y?\')

8 5 .9294 .9299 ,930-l .9309 .9315 9320 933 .9330 .Y335 9341

8.6 .9345 .9350 ,935s .9360 ,936s .9370 .9375 .93&l .9385 9:':,1

8.7 ,939s .9400 .94os .94lO .9415 .94?0 ,942s .VJIO 9435 .9111)

8.8 .9445 .9450 .9455 .9460 .9465 .9.:69 9471 9479 9184 O-l<')

8.9 9494 .9499 .9504 .9509 .9513 951x .95?3 .95?8 .9533 .9TiS

9 0 .9542 .9547 .9552 .9557 .956? .9566 .957l .9576 .'I581 9(&h

9.1 .9590 ,959s .9!?00 .9605 .9609 .9614 ,961') 9621 9628 96:x

Y.2 ,963s .9643 .9647 9652 9657 9601 9666 .967l .Y675 '96.0

9.3 9685 .9689 .9694 9699 .Y703 .9:08 .YTli 9717 V722 9il‘

‘94 .973l .9736 .9741 ,974s 9750 .9754 9i% .1763 976X 9::j

9.5 .9777 .978? .9786 .979l .9795 QXOO WOJ .9XO'l .%I1 OS!\

9.6 .9823 .9827 .9832 .9X36 .9841 9845 .9fiSO .WjJ .9859 YSb:

9.7 9868 .9X7? .9x77 .988l .9886 .9x90 .9x9: .9SY9 .9903 .YV,'S

9.X .9YI? .9317 .9921 .99:6 .Y930 9934 9939 .Y'W .994x 9Vi?

9.9 .9956 .9961 ,996s .Y969 .9974 9978 YYX3 Y947 9991 VLiVn

3 8 2 CH 113 (HI

Ramkhamhaeng University Press.4-4

.$ g

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