359 ch 113 (hi
TRANSCRIPT
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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