viii. specific heat of solids
TRANSCRIPT
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A .
B. C.
D. E.
F. G.
H. I . J. K. L. M.
N. 0. P.
Q. R. S. T.
V I I L . SPECIFIC HEAT OF SOME SOLIDS
-- CONTENTS
A 1 um i num C o p p e r I n d i u m
Iron ( a ) , (y) T a n t a l u m
A c t i v a t e d C h a r c o a l Ice P o l y e t h y l e n e T e f l o n
R u b b e r , B u n a - s , Kel-F R u b b e r , N a t u r a l Q u a r t z V i t r e o u s S i l i c a (S i l i ca Glass, Q u a r t z Glass) A r a l d i t e , E p o x i e s N i o b i u m , N i o b i u m - T i t a n i u m , T i t a n i u m C a r b o n S t a in l e s s Steel B e r y l l i u m T i n L e a d
A d d i t i o n a l R e f e r e n c e t o E n t i r e C h a p t e r : NBS Monograph 2 1 .
V I 1 I- INDEX
P
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SPECIFIC HEAT, ENTHAlgY of ALUMTNUM 8 Sources of Data:
Giauque, W. F. and Meads, P. F. , J. Am. Chem. SOC. 63, 1897-1901 (1941) Maier, C. G. and Anderson, C. T., J. Chem. Phys. 2,513-27 (1934) Phi l l ips , N. E., Low Temperature Physics and Chezstry, Univ. Wisconsin press (1958)
Behn, U. , Ann. Physik Beiblhtter 25, 178 (1901) Goodman, €3. B., Compt. rend. - 244,2899 (1957) Griff i ths E. G. and Griff i ths , E., Ph i l . Trans. Roy. SOC. London -9 AqO
Kok, J. A. and Keesom, W. H., Physica 4, 835 (1937) Koref , F., AM. Physik (4) 36, 49 (19Ui Nernst, W., Ann. Physik (4) 36, 395 (1911) Nernst, W. and Lindemann, F. A . , Z. Elektrochem. - 17, 817 (1911) Nernat, W. and Schwers , F. , Sitzber. kgl. preuss. Akad. Wiss. 355 (1914) Richards, T. W. and Jackson, F. G. , Z. physik. Chem. 70, 414 (1910) S c M t z , H. E., Proc. Roy. SOC. (London) 72, 177 (1903 Tilden, W. A. , Pmc. Roy. SOC. (London) - 7 K 220 (1903)
Other References:
557 (1914j
Table of Selected Values
e H cP Temp.
O K JIgm-OK j/gm
1 .ooo 051 0.000 025 2 .ooo 108 ,000 105 3 .ooo 176 .OW 246 4 .ooo 261 .OOO 463 6 .OOO 50 .001 21 8 .000 88 .002 6
1 0 .QOO 10*
10 .001 4 ,004 9 15 .oo4 0 .018 20 .008 g .048 25 *017 5 .112 30 *031 5 .232 35 *051 5 .436
.40 -077 5 -755 50 .142 1.85
* Superconducting
60 70 80 90 100 120 140 160
180 200 220 240 260 280 300
0.214 .287 357
.422 ,481 580
.654 * 713 760 797
.826 ,849 .869 .886 .g02
H .
j/P
3.64 6.15 9.37
13-25 17 76 28.4 40.7 54.4 69.2 84.8
101.0 117.8 135 -0 152 5 170.4
Repr in ted from WADD TECH. REPORT 60-56
8 VI 11-A-1
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I .o 1
oa 1 SPECIFIC HEAT
o f ALUMINUM - 06 ( l o - IOo K ) D
I 2 3 4 6 8 10
T E M P E R A T U R E , O K
VIII-A-2
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a
0 L
I- a
W a z
w
I- a
SPECIFIC H
EAT,
BTU
/lboR
u)
d
I-
4 0
(u
0
VIIL-A-3
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TE
MP
ER
AT
UR
E,
OR
.UL
I 2
3
4 6
0
TE
MP
ER
AT
UR
E,
OK
IO
VIII-A-4
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0 3 0
‘0
0
aJ
Y
W” a
os)
w. I- a a
W
Q
z o
w
*I-
0
2 0
(\I
0
VIII-A-5
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T 3K
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0. 8 0.9 1 2 3 4
6 7 6 9 10 15 20 30
3
40
60 70 80 90 100 200
SPECIFIC HEAT OF C0PPE;R
2.70 x lo-' 5.30 7.95 1.05 x 10-6 1.32 1.59 1. 68 2.15 2.46 2.75 6.59 1.26 X: 1 0 - ~ 2. 17 3.45 5.45 a. 00 1.14 1~ 10-4 1.56 2.05 6.63 1.76 x 10-3 6.53 1.42 x 2.36 3.45 4.10 4.35 5.50 6.06 8.55
T %
3 00 400 5 00
. 600 7 00 800 900 1000 1100 1200 1300
(s) 1356 (1) 1356
1400 1500 1600 1700
1900 2000 2100 2200 2300 2400 2500 2600 2700 2 800 2900 3000
1 aoo
9.23 x 9.46 9.71 9.95 1.02 x 10-1 1.04 1.07 1.09 1.11 1.14 1.16 1.18+
( 1.18) ( 1-18) ( 1.18) (1.18) , ( 1.18) ( 1.18) ( 1.18) ( 1. 18) ( 1.18) ( 1.18) (1. 18) ( 1.18) ( 1.18) ( 1.18) ( 1.18) ( 1.18) (1.18) ( 1. 18)
Investigators: Avramescu, A. ( 34) [ 373-1273KI ; Bell, I . P. (35) [ 288-701KJ ; Booker, J . , et a1 (36) (727-121OKJ ; Butler, C.P., and Inn, E. C. 1'. (37) [ 337-946K.3 ; Dockerty, S. M. ( 38) [ 201-389Kj ; Dockerty, S . M . (39) [28-194K) ; Eder , F . X . (40) [ 30-300KJ ; Esterman, I., et al (41) [ 2.2-3.6KI ; Eucken, A. , and Werth, H. (42) I94-219KI ; Fieldhouse, I. B., et a1 (43) [ 811-131l.K) ; Fieldhouse, I. B. , e t a1 (44) [ 1366-1922Kl ; Giauque, W. F. ,*
and hleads, P. F. (45) [ 15-300Kl ; Howse, P.T., et a1 (46) [ 366-544K.I ; Jaeger, F. M. , et a1 ( 47) [ 573-1173KI ;
'Estimated (5)
V I I I - B - 1
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SPECIFIC BEAT, E I T A L P Y of COPPER (1' t o 1 0 ° K )
Sources of Data: C o d , W. S., Gar funke l , M. P., Sa t te r thmi te , C. 3. end Wexler, A . , Phya. Rev. 98, 1699-1707 (1955) Rsyne, J. A , , A u s t r a l i a n J. Phys. 9, 189-97 (1956) --
Other References:
Ester-, I. Friedberg, S. A . , end G a l k n , J. E., Phys. Rev. - 87; 582 (1952j Kok, J. A. m d Keesoa, W. H., Physics 3, 1035-45 (1.936) - Fhill ips, I?. E., Lox Teqerature Physics and Chemist=, Univ. Wisconsin Press (1958) pp. 414-7 -A
Ccment s : For the temperature &-&e 0" t o 10"K, the specific heat fol~lows *the equation:
3 = 10.8 x 10-6 T + 30.6 [3&] j'/m-"K cP
Table of Selected V s l u e s
Temp. "K
1
2
3
4
6
0
10
I
* H = Jo CpdT
Repr in t ed from WADD TECH. REPORT 60-56
VIII-B-2
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T e m p e r a t u r e , F
._ 0 1 I
4i Y- .- W W a
WJ
0.
0.0
0.00 0.04 0.1 I IO
SPECIFIC HEAT VERSUS TEMPERATURE FOR COPPER
Temperature , K
IO
0 I 0 - Y - I LL
T e m ¶ - - c 0 W I 0
'c u W Q v)
.-
VIII-B-2.1
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l-
W I
a
I 2 3 4 6 0 IO TEMPERATURE, s(
VIII-B-3
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SF'ECIFIC m T , EXTHAU' Y of COPPER
( loo to 300°K)
Sources of h t a : - Bcker'Ly, S. M., Cen. J. Reseerch I_ 1 5 A , 59-66 (1937)
- Otk -r Referen=:
Acyr-rn, S. and Kmda, E. , J. Chez. SOC. Japan - 62, 312-15 (1941) ~ S : I I ~ , u., Ann. Fnysiir u. Chem. (3) 66, 237-44 (1898) C C ~ S O I ~ , H. L., Caisholm, -9. M. ami Dockerty, S. M., Cea. J. Resezrch E, 252-303 (1933) Tucken, A. a d Kerth, H. , Z. morg. ellgem. Cflem. - 188, Schenck Fest-
Gis-o_ue , W. F. 2nd I.ieeds , P. F., J. Am. Chem. Soz. - 63, 1&97-1901 (1941) Keesom, W. H. end Onnes, H. K., C0nxiu.n~. Phys. Lab. Univ. Leiden NO. 147a, 3 (1915) Koref, F,., A I . ~ i y s i k 36, 49-73 ( 1 9 ~ ) ITekst, W., Sitzber. kgl. preuss. Plied. Wiss. 262 (1.910)
Xemet, W. , Si tzber , kkgl. preuss. Akad. Wiss. 306 (1911) Nerast, W. and Lindemmn, F. A . , Z. Elektrochem. - 17, 817 (1911) Schinpr'f, H. , Z. physik. kern. 71, 257 (1910)
-.
SchfiI't, 152-72 (1930)
Temp* 9(
100 120 140 160
180 200 220 240
260 280 300
Table of Selected Values
cP ; / p o x
- 0.254
.288 313 ,332
.346 -356 364 371
9 376
3% .381
Temp.
sc 10 15 m 25
30 40 50 60
70 80 90
H*
j l @
0.0024 .01q .034 -090
195 .61
1.40 2.58
4.13 6.02 0.22
cP ;/m- "K 0.000 86
.002 7
.w 7
.016
027 .om 9099 137
.I73 , 205 .232
H*
J /m 10.6 16.1 22.1 28.5
35.3 42.4 49.6 56.9
64.4 72.0 79-6
Xeprinteci from ?:ADD TECII. =PORT 60-56
VIII-B-4
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-I
m 3
0
.m
.;D
D
-I t
;D
m .. 0
X
S-8-IIIA
SP
EC
IFIC
H
EAT,
($),
jo
ules
4m O
K
0
0
b
0
0
b
s) - N
P
0
h)
P -
0
e
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m
rr)
N
N
t- In
N
0
VIII-B
-6
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2
I
0.6 I 0 - *r 0.4 n
3 E Y
>r .06 Q -.I
I z w
a .04
.02
.o I
.0006
TE M PE R ATUR E eR
CI
Ict
b * P
I6
14
TEMPERATURE, "K
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EN
THA
LPY
, BTU
/Ib a
-(
u-
!.F W a 3
I- a
U
W a
2
W
k-
c
0
0
LW
0
2 0
Q)
Y
W
I-
W a
VW
I- 0
II
zz
a a
0s
O
rn
0
(u
VI 11-B- 8
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0 m
0.
I 1 I I 1 1 1 1 1 I 2 3 4 5 6 7 8 9 IO
0.0 I
Temperature, K
SPECIFIC HEAT VERSUS TEMPERATURE FOR COPPER ALLOY 90 CU-ION1
VIII-B-9
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SWClTFIC HEAT and EI- of IXilUM
Sources of kb: ---- Clcr.-.nt, J. R. m d Qij-mell, E. H., Phys. Rev. 92, 258 (1953) C l m i u s , K. ard ScbmhiKzr , L., 2. &zturforsrh. g, 185 (1952)
-
Cth-r References : -I -
Clmsnt , J. R. and Qui=eN-,E. H., ::a%. Bur. S k h - 2 6 Circ. 519, 89 (1952) p h p . Rev. 79, 1028 (?-9?o) I_ -
a b l e of Selected Values
T
OK
1 1 2 2
3 3 3.4w3 3.40
4 6 8 10
15 20 25 30
40 50
CP
j /s-- "I( --- 0.006 o s
,000 019* .ooo 138 .OOO 141*
.OOO 410 *OOo 464* .ooO 584 .ooo 669"
*OOo 95 -003 59 *om 55 *015 5
.036 7
.060 8 *a5 7 .lo8
:141 ,162
o.Oo0 011 .Ooo 006 .Ooo 085 .OOO 073'
.OOO 341 3573
*coo 537 .GQO 5813
*OOo 99 .005 m .017 o .Ob 8
.170
778 1.265
2.52 4.04
.413
* Superccnducting Su-perconducting t r a n s i t i o n temperatuw
Repr in ted from W;LDD Tc"CH.REPORT 60-56
1
CP
J/gm- Oh'
0.176 .186 .I93 .198
. a 3
.211 . a 7 ,220
.223
.225 227 .223
.230 ,232 233
H
J/m 5.73 7.53 9.42 11.38
13 39 17 53 21.81 26.18
30.61 35 39 9 59 k4.14
48.72 53.34 58 .o
VIII-c-1
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TEMPERATURE, O K
VLLI-c-2
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e
VIJI-c- 3
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TEMPERATURE, "R
ENTH AL P Y of INDIUM (lo - IOo K ' )
TEMPERATURE, .K
4 00
3 00
2 00
I O 0
60
4 0
30
2 0
I O
6
4
3
2
I
0.6
Q4
03
0 2
Q I
D6
b
VII I -C-4
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EMVH
ALPY,
BTU
/lb
8 (u
0 0
- 0
ax
0
w
0.
I
D1
t- a LIS w a 5
ow
d
k
0
IC)
z 3
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8
Source6 0% D a t a : Duyckaerts, G., EPnysica - 6, 401-8 (1939) Keesom, W. B. d KurreLmsyer, B., P~JBICS 6, 633 (1939) Kelley, K. K., J. chern. Phys. - 11, 16-8 (1943)
Other References : AUatin, J. B., Ind. Eng. Chem. - 24, 1225 (1932)
r48, G . , Mem. 8oc. soy. acil. Liege - 6, 193 (1945) Eucken, A. and Werth, E., Z. anorg. u. a l l g e m . Chem. - 188, 152 (1930) Griffiths E. C. E R ~ Griffiths, E . 319 (19lkj d Proc. Roy. Soc. (London) Ago, - 557 (1914) .Gunther. P., Ann. Phyerfk (4) - 51, 828 (1916) Richards, T. W. and Jackson, F. G., 2. phyeik. &m. 70, - 414 (1910) Rodebueh, W. E. and Michalek, J. C., J. Am. Cham. SQC. - 47, 2117 (1925)
FhiP.. Tram. Roy. Soc. bndon A214 -'
Schmitz. H. $., Proc.. J@y. Soc. (Londlon) 72, 177 (,l9O3) Simon, F., 2. 'angar. Chem. - 41, l l l 3 (1928) S ~ Q A , F. am3 in, R. C . , 2. phyaik. Chem. B28, - 189 (1935)
CoIlmEnts :
a -Iron is the form that ie stable up t o the Curie point at 760'C. b e E body-centered cubic lattice.
It
T
"tc
1 2 3
4 6 8
10 3-5 20
25 30 40
50 60
-
-
o.oO0 ogo .m 183 .ooo a9 .OOO 382 .m 615
.001 24
.002 49
.004 5
0007 5 .012 4 029
,055 0087
0.000 045 .om 181 .DO0 412
.OOO 742
.00173 0003 23
ow5 37 .014 5 .03i 6
.061 . 110 * 31
-73 1.43
R e p r i n t e d from WADD TECH. REPORT 60-5 6
VIII-D-1
2.46 3 0 8 4 5.55
7.56 12.40 18.16
24.63 31 e 67 39.2
47 .0 55 -2 63.6
81.1 72.3
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I 2 3 4 5 6 7 8 9 1 0 TEMPERATURE, O K
VIII-D-2
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8 e e
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TEt.?PERATURE, OR
0
ENTHALPY o f a IRON ZI n
8 I Q
3 4 5 6 7 8 I 2
TEMPERATURE, OK
9 IO
VIII-D-4
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4.181 TEMPERATURE, OF?
20 30 40 50 60 70 80 90 100 TEMPERATURE, "K
200 300
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SPecIFIC
Sources of h t a : Eucken A. and Uerth, R.,
HEAT, ENTHAWY of 7 - IRON
2. anorg. u. allgem. Chem. 188, 152-72 (1930 1
comments: The values of specific heat fo r pure y iron were calculated by Eucken and Werth by application of the Kopp-Neumann principle t o their specific heat measurements on a 3O$ Mn-Fe alloy and 19.4% Mn-Fk alloy. should be regarded as an approximation only.
In view of this procedure, the values tabulated below
T "K
20 30 40 50 60 70 80 90
100 120 140 160 180 200
0.007 .016 .Ob1 *ow
VIII-D-6
RJC/JJG Issued: 9-2-59
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EL 0
Y 0
0 E
c - a u t- W r
Y
a
TEMPERATURE, O K
VLII-D-7
n - \ 3 t- m c - lL 0
t- W I
v
a
0 LL V W a v,
-
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Y 0 0 (u
0 c
0 11 I
L
E 0 \
u) 0)
7 0
- .-
TEMPERATURE, OR
40
20
10
6
4
2
I
0.6
0.4
02
0. I 30 4 0 60 80 I00
TEMPERATURE, O K
VIII-D-8
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smcmc HEAT, ENTlIALpy of l!AmYum
Sources of Data : X;eUey, K. K., d. "2 8 316-22 (1940)
8 White, D., mQU, c. Johnstan, H. I,., Phya. Rev. z, 797-802 (1958)
140 160 180
220
260
200
24Q
280 300
Comments :
.125
.128 -131
.136
.138
.134
137
139 .140
For tempsatupes equation: ,
8s than 4%, the nornntl epecific k a t cP f o U m the
Cp (3L.7M.9) x lo-%! + 10.74 j/gm-?c
Table of Selected Values
"K
1 2 3 4 4.39 6 8
10 15 20
25 30 40 50 60
0.060 832 0.068 so63
.ooL a7
.Os3 60
.008 23
*On5 3 .02b 0 .Oh3 0 ,060 4 0075 4
super- aopmal 1 conducting
1
'4.50 5.58 7-88
10.4 12.9 15.5 18.1 20.8
23.6 26.3 29.1 31 =9
Reprinted f r o m WADD TECH.REPORT 60-56
8 VLIL-E-I.
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1 I ' " ' I ' ' " I I I I ' I ' I ' I 0.0
0.6
0.4
02
0. I
.O 8
R 6
.O 4
0 2
.o I
.008
006
TEMPERATURE, O K
VIII-E-2
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u)
* 4
0
0
9
-
0
0
(u
0
0
0
Q)
0
(D
0
t
0
m
0
(u
0
(u 0
9
Y
0 c
W
U 3
I- a e
W a
z W
I-
VIII-E-3
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SPECIFIC REAT, ENTHALPY of A C m m D CHARCOAL
I
Source of Data: Simon, F. and R. C., Z. physik. &ern, - B28, 189-98 (1935)
Colirment s : The values i n the table below do not represent precise measurements and were made on a smple not f u l l y characterized. The values are mch higher than those fo r graphlte. var ies ' in structure and area, one may infer that the specific heat might also .vary considerably from sample t o sample.
Since activated charcoal
Table of Selected Values
Temp. OK
JJG/JRC Issued: Revised: ?I&$&
0.042 .056 .070 .087
.10
.12 14
.16
0.49 1.1 1.9
2.8 3.9 5 -2 6.7
VI 11-F-1
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TEMPERATURE, OR
VI1 I-I?- 2
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TEMPERATURE, O R
I ' I I I I I I I I I 8 60 70 80 90 100
30
e 40 5 0 60 70 80 90
TEMPERkTURE. O K
VIII-F-3
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Sources of Data: Giauque, W . F. and Stout, J. W . , J. Am. Chem. SOC. - 58, 1144 ( 1936 1 Simon, F., unpublfshed (1923). Stout (me above) e
Da.ta reproduced in Giauque and
Other References : Barnes, W. N. a d WE, O . , Can. J. Research - 3, 2 0 5 (1930) Duyckaerts, e., bkm. soc. soy. E C ~ . Liege - 6, 325 (1945) Nernst, W., Ann. physik, ser. 4, 36, 395 (1911) Pollitzer, F., Z. Elektrochem. 2, 513 (1913)
Table ~f Selected V a l u e s
Temp. 9K
1 2 3 4 6 8
10 12 14
16 18 20
30 40 50
0 . 0 ~ 9 0 015
0.060 41
0.000 98 0.003 3 0.Kq 8
0.015 2 0.026 5 0 .Ob3
0.065 o.og0 0.114
0.229 0.340 0.440
8.W 98 90 0.004 9 100 0.015 6 120
0.038 Q -879 0.148
0.255 0.410 0.615
2.33 5 .a8 9 *w
140 160 1%
200 220 240
268 270 273 015
0.535 0.627 0.716
0.801 0.882 1.03
1.16 1.29 1.43
1.57 1.72 1.86
2.01 2.00 2.10
13 -97 19 e 7 8 26.49
34.06 42.47 61.6
83.5 108 .o 135 92
165.1 197 *9 233 07
272.4 292.8 299 04
Reprinted from WADD TECH.REPORT 60-56
VLII-G-1
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Y 0
I 2 3 4
TEMPERATURE, OK
6 8 IO
VIII-G-2
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8 8
0 0
m
0 0
-
VLII-G-3
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3ource of Data: Sochava, 1. V. and Trapeznikova, 0. N., Sov. Phys. Doklady 2, 164-6 (1957)
Comments: Slince no specific heat measurements existed below &OK, enthalpy values are given referenoad to this temperature.
Wble of Selected Values
T %
60 70 843 90 100
120 140 160 180
200 220 240 260
0.418 .496 . 561 .619 .676
470 .872 .971
1.07
1 *17 1.28 1.43 1.63
. H - a J/m
4.57 ,g .84 15 -7 22.2
36.8 53 -2 71 a 7 92 .I
114 139 166 196
Reprinted from WADD TECH.REPORT 60-56
VIII-H- 1
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10
I
I ooc
100
0.1
8
VIII-H-2
T e m p e r a t u r e , F
T e m p e r a t u r e , K
SPECIFIC HEAT VERSUS TEMPERATUREFOR CRYSTALLINE AND AMORPHOUS POLYETHYLENE
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VIII-H-2.1
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SF'ECIFIC B A T and E ; T W Y of TEFL0:i (MOLDED)
Temp.
"K
Source of Data:
F~rukS~*, G. T., NcCoskey, R. E. and.King, G, J., J. ReseaYch rratl. Bur. Standards - 49, 273 (1952)
Other References:
Noer, R. J.) Dempsey, C. W. and Gordon, J. E., Bull. Am. lphys. SOC, - 4, lo8 (1959)
Comments : The above reference (Furukawa, e t al.), a l s o gives data on molded and annealed, molded and quenched, and powdered t e f lon . The e f f e c t s of hea t treatment do not exceed 3$ and are not s ign i f i can t below 150°K. The data ind ica t e a second-order t r a n s i t i o n a t about 1 6 0 ° K and two f i r s t - o r d e r t r a n s i t i o n s between 2 8 0 ° K and 310°K. occurs i n these regions. sented f o r t h e region 280°K t o 3lO'K. and 1 0 ° K were obtained through computation involving the Debye temperature, 80 values ex t rapola ted from the 15-30"K range. Noer, e t a l . repor t an approximte formula for the spec i f i c heat of t e f l o n between 1.4"K and 4.2% which i s not i n good agreement with t h e extrapolated value of l?uruka;;a, e t a l . t abula ted below. Their approximte formula i s given as
Thermal hys te res i s Because of t h i s e f f e c t , da ta a r e not pre-
Spec i f ic hea t values a t 5'K
0 .oO24 .018 .048 0076
,102 .125 .165 . a 2
.238
.274
.312
.350 --I..-
--.-- H
J/@ -_..-I
c) .003 0.047 0.21 0.52
0 -97 1.54 2 e99 4.83
7.02 9.59
12.52 15.83 ---I --
Temp.
sc 100 120 140 160
180 200 223 240
260 280 310
,. - ..-*--
cP j/gm%
0.386 0.457 0.525 0 598
0.677
0 *798 0 -853
0 * 193 1.01 1.02
--
0.741
-----
Reprinted from WADD TECH. REPORT 60-56'
VIIL-1-1
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I1
I
?
1111 11'1'1 ' I"" 1111 I I !I ' I
* 0 0. f T 4- i
(hl 0 4
![Page 44: VIII. SPECIFIC HEAT OF SOLIDS](https://reader031.vdocuments.us/reader031/viewer/2022012309/586cb7661a28abc7348b5a6f/html5/thumbnails/44.jpg)
Source of Data:
Rands, R . D. Jr., Ferguson, W. T. and Pqather, J. L., J. Research Natl. BUT. St-ds 33, 63-70 (1944)
Comments :
A second-order transition which indicates a change of slope occurs at about 212 %. this transition.
Hysteresis occurs in the region immediately belaw
Table of Selected Values
Temp. "K
5 10 1-5
20 25 30
40 50 60
70 80 90 100
0.004 .028 *WO
.113 -155 .196
9272 338 399
4455 509 .562 .612
H j/gm
0.005 007
0 7 7 1.44 2.32
4.66 7 e72 11.40
15.68 20.50 25.86
931
31 *74
Temp. " K '
120 140 160
180 200 210
212 220 240
260 280 300
0 -711 .811 .g11
1 .Ol 1.12 1.34
1.66 1.68 1.73
1.78 1.84 1 =90
Reprinted froi WADD TECH.REPORT 60-56
H
J/m 45 .o 60.2 77 04
96 -7 118 .o 130 .O
133 *3 146.1 180.1
zt5.2 251.4 288.7
VIII- 3-1
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2
I
SPECIFIC HEAT of GR-S(BUNA-S)
Y 0.4
E m \ In
3 H H I 4 I h,
I I lAml I I I I I l l 1
I I I II Pri ! / I I I I I I 1 1 1 1 1 1 ! 114 I ! !
I ' I I I I I 1 1 1 1 1 1 _. Q)
0 3 0.2 1- .. c
CL 0 0.1 l-
W I
2 .04 IL
0 W
U
a
- $ .02
.o I
.004 5 IO 20 30 40 60 BO 100
TEMPERATURE, O K
200 300
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0.0 I
Temperature, F
IO Temperature, K
IO0 300
SPECIFIC HEAT VERSUS TEMPERATURE FOR POLYCHLOROTRIFLUOROETHYLENE (KEL-F)
VIII-J-3
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SPECIFIC FIEAT and ENTHALFY of NATURAL RUBBER HYDROCARBON (Amorphous)
1.03 1.08 1.10
1.44 1.60 1.61
1.64 1.70 1.75
1.81 1.84 1.89
Source of Data:
I
Bekkedahl, N., and Matheson, H. J., Research Nat. Bur. Standards - 15, 503 ( 1934 )
Camments : These data apply to pure hydrocarbon polymer extracted from latex. natural rubber dSffers from this by containing various additives and having been vulcanized. 100 low-temperature data for vulcanized rubber have been found, and the &ita on this sheet are presented as being the closest available approximation thereto. OCCUTB at about 200%. to other f o m OP rubber since the temperature and shape of the transition in Cp will be ra$her strongly affected by vulcanization and additives.
Commerical
A second-order transformation (glass transformtion) The data in this region are the least applicable
Table of Selected Values
CP
j /gm- "K
0.073 .117 .204
.282 -352 .418
.480 * 537 9 596
.646 75 .84
9 94
H
j /m 0.32 0.80 2.41
4.84 8.01 11.87
16.36 21.45 27.12
33.34 47.3 63.2
b1.0
* Second-order transition
- T
O K
180 190 195
200* 205 210
220 240 260
280 290 300
-
-
H
j/m 100.7
155 -0 188.4 222.9
258.4 276.6 295 -3
Reprinted from WADD TECH.REPORT 6G-56
VIII-K-1
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2
I
0. 0
0.6
0.5
0.4
0.3
0.2
0. i
.08
15 2 0 30 40 50 60 80 IO0 200 300 TEMPERATURE, O K
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SPECIFIC HEAT and ENTAALPY of QUARTZ
Sources of Data: Anderson, C. T., J. Am. Chem. SOC. - 58, 568 (1936) Westrum, E. F .; data reproduced in Lord, R.C. and Morrow, J. C., J. Chem. P ~ Y s . 26, 230 (1957)
O t h e r References:
Gunther, P., 2. anorg. u allgem. Chem. - 116, 71 (1921) Nernst, W., Ann. F'hysik (4) - 36, 395.(1911)
Table of Selected Values
T
?K
10
15
20
25
30
40
50
60
70
30
90
0.0007
.0040
. o n 3
,0221
-0353
, .of353
0969
- 1 3
.162
195
.223
H
j/gm
0.001
0.012
0 .Ob9
0.131
0.273
0.773
1.583
2.71
4.17
5 -95
9.07
T
s(
103
120
140
160
180
m3
220
240
250
280
300
CP
j /gm- OK
0.251
9 325
385
.441
.494
543
.5ag
.631
.671
0703
.745
10.51
16 37
23.48
31 -75
41.1
51.5
62.8
75 00
88.0
101.8
116.4
Reprinted from WADD TECH. REPORT 60-56
VIII-L-1
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I Ill1
I I I
I I
' Ill 1 I
1 I
I I
' Ill I I I
I I
I'
![Page 51: VIII. SPECIFIC HEAT OF SOLIDS](https://reader031.vdocuments.us/reader031/viewer/2022012309/586cb7661a28abc7348b5a6f/html5/thumbnails/51.jpg)
Accelerator Department . BROOKHAVEN NATIONAL LABORATORY
Associated Univers i t ies , Inc. Upton, New York 11973
ISABELLE Project
Technical Note No. 327
THERMAI, CONDUCTIVITY INTEGRALS FOR FIBERGLASS-REINFORCED EPOXY AND AISI 304 STAINLESS STEEL
S.R. P l a t e
November 10, 1981
I. INTRODUCTION
G-10, a g lass - f i l l ed epoxy composite, and AISI 304 s t a i n l e s s steel , a re materials which a re used extensively i n the ISABELLE cryogenic t r ans fe r system. To ca lcu la te reasonably accurate heat leaks a t G-10 spacers and s t a i n l e s s steel vacuum breaks where large temperacure gradients occur, t he integrated thermal conduct ivi t ies f o r t h e mater ia ls i n question, over various temperature ranges, were required. Since the desired values were not readi ly avai lable , the integrated conduct ivi t ies w e r e calculated. and 2.
These a re shown i n Tables 1
G-10 i s a woven cloth/epoxy composite; however, thermal conductivity da ta could not be obtained f o r t h i s par t icu lar mater ia l construction. Conductivity data was found for uniaxial g lass - f i l l ed epoxy r e s i n mater ia l , both p a r a l l e l t o the g lass f ibe r s and perpendicu- lar (through mater ia l thickness). Refer t o Figs. l a and lb. The p a r a l l e l d i r ec t ion is a reasonably accurate analog of G-10 conductivity longi tudinal ly and t ransversely; t he perpendicular d i rec t ion probably gives somewhat lower heat leak values than would ac tua l ly be rea l ized through t h e thickness of a G-10 sheet. These differences must be kept i n mind when u s h g the thermal conductivity values t o approximate 12-10 behavior.
11. METHOD
The computer was programmed t o perform an in t eg ra l approximation by summation of areas under the curves of conductivity for t h e respect ive mater ia ls . adequate. of the graphs of thermal conductivity taken from the references. ' ,2 chosen as representat ive of G-10.
A trapezoid approximation method w a s considered Data fed t o the computer were obtained by v i sua l inspection
The glass-reinforced epoxy r e s i n mater ia l was
Concerning those o r ig ina l conductivity p lo ts c i t ed , the glass- epoxy curve required extrapolat ion from 277°K t o 300°K and from 50°K down t o 4°K. For the 304 s t a i n l e s s steel curve, extrapolat ion was necessary only from 277°K t o 300"K, the lower l i m i t remaining a t 4°K.
The information is presented i n a form compatible with tha t ~ -. presented i n tb:e Cryogenic Data Notebook, Vol. I, Section V I I .
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I .
- 2 -
, '., ,
. I
. .
., '. .
i
Fig;. la. . . <
* - Uniaxial glass /epoxy matrix. i
fibGs,'.. ." glass cloth
I
Fig. lb.
Glass cloth/epoxy matrix.
Longitudinal f iber comprising glass cloth *
__c
![Page 53: VIII. SPECIFIC HEAT OF SOLIDS](https://reader031.vdocuments.us/reader031/viewer/2022012309/586cb7661a28abc7348b5a6f/html5/thumbnails/53.jpg)
44.4 38.9
50.0 61.1 72.2 83.3 94.4
100.0 122.2 144.4 161.1 183 .3 200 . 0 227 . 8 250 . 0 277 . 8 300,.0
1.61.. . ? ' 5 ; : . * , d , - 2 4 k , * . .: . .. ._ z .&rs:; 43.8 77.3 1 . 70' 2.66; j . 53.0 91.8 1.73 2.75' , 62.5 107 1.96 2.94 i 82.9 139
172 2.25 i 3.29 ,/' 130 208
d. 155 245 ,*e- 169 265
2.39 3 tA.6 2,44 3.55. 2.66 3.84 . 226 347 2.87 4.10 287 435
*., 336 505 404 603
2' 99 4.31 3.17 4.55 ...
680 81 6
3.25 . 4.72 458 . 551 3.41
3.51 5.19 62 8 92 9 72 7 1076 809 1197
3.63 5.38 3?,170. 5 T..? 5 76'; 5.5,l *' .
. 2.09 3.11i 105
* . ~
. 2-1 ::si oo "!
4 -- ._._ .C
,?. . - .- .-....*. " . .a - e '
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. .)
- 4 -
t
Temp. - O K - -
4 6 8 10 13 20 24 27 30 35 40 45 50 60 70 80
100 120 140 160 180 200 230 260 300
4.85 6.75 8.75
12.2 20.0 24.0 28.0 *
33.0 39.0 46.5 53.5 59.2 70.0 80.0 86.0 95.0 103 110 117 124 130 141 152 168
7.98 19.6 35.1 66.5 179 267 345 43 7 61 7 83 0
. 1080 1360 201 0 2760 3580 5400 7370 94 90 11750 14200 16700 20800 25200 31600
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,
- 5 -
Cond.uc t i v i t y of 'Fiberglass Laqinates as a Funct;ion of Temperature", .- ....e-. curves E(T) and E(J 1-1 -.... ~ . -.-..:-- . .
_U. ..._. . . . . . , <* ... .I*/.* . I .. 1
_1.. ~ .. -. f - . * . .." ..,.... . ..ri..-. ...... .... .. . , . 8 - . . .
. i - -i 2. Natiohal Bureau;.of Standards,,. N3S Vonograph 131, Sept . 192.3, .Gi I Childs, L. Ericks, and,:R. Podell; ?Whmal Cdnd&&-E&;ty 02 Solids '
a t Robm Tempeq.@& '.. and .,:Be low'! , *) 25 7., Fig. .._ .. ~ 3 ." ,? ...--. _.. . ... -I. . ..
. _ , - a. . '-. *:
1 , : _ . .
~ .. . . , . . . . . 'r -
I . . - . . 1
**., .. 1
0.. ,
. . , . .
. .. .;-
" .
!
. ~ ..-.. .-. .-
.-, . - . - . .. . _. .. .
I
![Page 56: VIII. SPECIFIC HEAT OF SOLIDS](https://reader031.vdocuments.us/reader031/viewer/2022012309/586cb7661a28abc7348b5a6f/html5/thumbnails/56.jpg)
. \.. .. , * :. ' * . Bldg. 510 ' ' ' Bldg. 91.1 'Bld,g., 725 .
. R,P:Shutt . G. Danb'jii .
'. Ho Gordon , '
.& I . . Faderid ' zoki . - . .
:.S. Ghqshtoy Ckerrroa . '
T.F. Kycia ' .
I,* .b ipuncc 3.W. Glenn .
S. Linde.nbaum D, Gough . . J. . 'Sheehan .
C. Goodzeit
R.B.. Palmer J. Grisol i J.. Jackson A. ,Kaam . . S.. Protopopeacu J... Keohane D. Lazarua Y, Lee D. Lowenstein Y. Makdis-i P .. Mont emut i 3 R. Nawrocky M. Smith (1) p l u s
R . Them ?. . . . .
W.T. Weng '.
P . B . Zuhoski K. Kohlet
/dv
.. . _
...':I N, Samios . K."'.Batchelor I:.. ' ' , . .
. . J. .Galayda S. 'Krinoky
. S, Qeaki . A, Luccio . . . '
... . . D, Rahm . M. Sakitt
* R.' Fernow Sle-C . , t, Stumer ..s-- - .
. . .- :. ..,_ ~. ' :T..L. Trueman I .
_ .
. I . . .
. . a , .
. . . . . , . . . . . . . . . . . .
. . .one for each au%hor(s) file , ' . - .
. . . 'J..' TUOZZOl.6
" ,:
. . . .
. .. .. . . .
. I , :
.. -. . . I '.. . . . .
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SPECIFIC HEAT and ENTHALPY of VITREOUS SILICA (S i l ica Class, Quartz Class.)
10
20 15
Sources of Data: Simon, F., Ann. mysik (4) - 68, 241-80 (1922) Simon, F. and Lange, F., Z. physik. 38, 227-36 (1926) Westnun,E. F., data reproduced in Lord, R. C. and Morrow, J. C., J. Chem. Phys. - 26, 230 (1957)
0.0045
.0244
.0126
Other References : Nernst, W., Sitzber. kgl. preuss. &ad. Wiss., 306 (1911)
Table of Selected Values
H
j/m
=0379 0 519 .om8 *lY .141 .172 ,204 .236
0.ol.l
0.143
0.524
o .052
0 299
1.186 2.15 3.41 4997 6.85 9 005
100 120 140 160 180 200 220 240 260 280 300
0'.268 331 391
,446 497
.544 , .588 .629 .668 ,704 738
11-47 17.56 24 77 33 14 42.6 53 90 64.3 760 5 89.5
103.2 117.6
Reprinted from WADI) TECH. REPORT 60-56
VIII-M-1
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1 .o I I I I I
06
0.4
Y
g 0.2 \ u) a3 =I 0
- 7 0.1 - h n 0 - .06 t- W .04 I
0 LL
.. a
- - $ .02 a u)
.o I
.OW
IO 20 30 40 60 80 100 TEMPERATURE, O K
200 300
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I 0 3
IO2
L c 0 a, I 0 IC .- .- u 8 ta v)
1 oo
Io-' I IO'
Tempera ture , O K
SPEC'IFIC HEAT OF UNFILLED EPOXY RESINS
VIII-N-1
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I * 30
d
I : EPON 828 GLASSFIBER 55991, HTS FINISH NOM. DENSITY =1.83gem'P GLASSFILL 0.636 VOL.
I I I 1 1 1 1 1 1 1 1 1 I I l l 4 0. f I 2 3 4 5 IO 20 100 200300
Temperature, K
SPECIFIC HEAT VERSUS TEMPERATURE FOR GLASSFIBER REINFORCED EPOXIES
VI I I-N- 2
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Source of Data:
Wb-Pmpared according to manufacturer's directions.
!Fable of Selectd L
1.5 2 3 4 6 8
10 15 20
0.000 06 .Ooo 24 .Ooo 89 .002 25 0008 2 .016 g
0027 2 .054 2 0081 1
Value8
E
J/€sJl 0.m 01
' 0oO008 O O O O 60
0002 10 O O U . 7 0036 7
7 0 2 8 4 .623
RJC/JJQ Issued: 12-16-59
VIII-N-3.1
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TEMPERATURE, O R
I 2 3 4 6 8 10 20 TEMPERATURE, OK
VIII-N-3.2
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\
I 2 20
VIII-N-3.3
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s m m c BEAT, E?prBAtpy of KTOBIUM
Source of Data: Chou, C., White, P. and Johmton, E. L., Phys. Rev. =, 788-796 (1958)
Other Feferences:
Bmm, A. , Zemnsky, M. W. and Boorse, H. A. , Phys. k v . 86, 134 (1952) Richards, T. W. and Jackeon, F. G., 2. physlk. &em. - 70, 414 (1910)
The data of Chou, White and Johnston cover the range, 1.5" t o 30°K while the compilation of Kelley (1949) gives b e s t values f o r mom temperature and above. Between 30" and mom temperature no modern experimental data are t o be found. here are estimates. of order 15, the estimated values between 30" and 3W°K are more un- certain and may be i n e r r o r by as much a6 1 6 In the region 40" t o 100°K.
The values i n this region given While the accuracy a t 2 t o 30" and st 300°K i s
Temp "K
1 2 3 4 5 6 7 8
9 10 15 20
25 30 40 50
--
5 joules/gram-"K - No m a l
.09 ao-3
.18 It
.28
.40 I'
.56 077
1.02 1.4 I'
1.7 2.2 I1
-0055 .ou3 .021 a035 .068 .ogg .
Supe rcond . ,015 fio-: .088 It
.27
.56'
.98 I 1
I t 1-5 2.3
3.2 I1
H jodes/grim Normal
.17 "
.40 I'
* 73 1.20 1.86 2.75 3.93 5.5 7.4
(1
n
0026 -066 . 145 . 28 0 8 0 1.63
Supe rcond . .005 XLO' .049 It
022 I'
.62 It
1.38 2.6 4.5 7.2
I1
I1 .
(1
.127
.152 173 189 .202 . 221 .234 . 243 2k9 .25b .258 .261
.264 . 266
.2a
H J/m Normel
2.76 4.2 5.8 7.6 9.6 13.8 18.3 23.1
28.0 33 9 1
36.2 43.4 48.6 53.9 59.2
1
RJC/JJG Issuedr 10- 214$
VIII-0-1. 1
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2 3 4 6 8 10
TEMPERATURE, O K
VIII-0-1.2
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5 H H I 0 I
I-L w
0.2
0.1
Y
Y 0" .02
a W T
.o 1 0 k . 0
TEMPERATURE ,OR
0 X
.004
R02
TEMPERATURE, OK
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4
2
I
0.4
0.2
0.1
.O 4
.O 2
TEMPERATURE ,OR
TEMPERATURE, O K
VIII-0-1.4
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EN
THA
LPY
. BTU
L Ib
0
0
N
I I
N-
e.
(u
- o
dd
U
J6/sVo! 'A
d '1 W HlN 3
ON
-
4
0.
9
H 0 0
0
aD
Y
0
.o - W
W
K
3
t- U 0: W
Q
.
:5 t-
0
m
0
(v
VIII-0-1.5
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' 0 3 r
Temperature ,OK
SPECIFIC HEAT V E R S U S TEMPERATURE FOR NB 51 TI 49
VI 11-0- 2
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sources or mta: Arcn, H. H., Craig, R. S., Walte, T. R. and WaUace, W. E., M. ~ e v . - 102, 1263 (1956) Kotkn, C. W. sn8 Johnston, E. L., J. A.m. Ghtm. Soc. 75, 3101
Wolcott, R. M., Coni. bc Phplqw des Bassee !I!experatures, Paris
- (1953)
(1955 1 Other References:
Estermkson, I. Riedkrg, 6. A. and G o l k , J. E., Phy3. Rev. L 87, 582 (19521 Kelhy, K. K., Id. Eng. Chm. - 36, 865 (l9h-b)
Table of Selected V e l u e s
Temp.
O K
1 2 3
4 6 8
10 15 20
25 30 40
50 60
cP
J/m- "K
0.000 0-71 ,OOO 146 .ooo 226
.OOo 317
.om 54
.Ooo 84
.00126 0003 3 ,007 0
.013 4 ,024 5 ,057 1
-099 2 .I46 7
€I
j b
0.OOO 035 .OOO 143 *OOO 329
.OOo 599
.00145
.002 01
.004 89
.oi5 6
.040
*ago .182 .581
1.358 2 592 _I_-
Temp.
"K
70 00 90
100 120 140
160 180
--XK,
220 240 260
280 300 II__
cP
j/m- "rc
0.1@ 230
.267
9 300 .352 391
.422
.U6 0465 .490 9 493 .5&
,514 ,522
--. .-....-lll
VIII-0-3.1
H
Jb 4.27 6.37 0.86
11.69
25.69
33 0 0 4
51.66
61.11 70 .€!A 80.82
91.01 101.39
--
18.24
42.54
.<---....l
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TEMPERATURE, O R
VIIZ-0-3.2
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5 H H I 0 I
W
W
TEMPERATURE, O R
- - IO 20 30 40 60 RO
TEMPERATURE, "R 2GO 300
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VIII-0-3.4
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SPEZD'IC HEAT, E3THADY of CAwOIr; (GRAPBITE)
Sources of DBta: Keesom, P. H. and Pearlman, N.; Phys, Rev. 99, U19-24 (1955) De Sorbo, W. end Tyler, W., J. Chem. Phys. 21, 1660-3 (1953)
- 8
- Other References:
Bergenlid, V., Bill, R. W., Webb, F. J. and W i l h s , J., Phi l . Mag. - 45, 851-4 (1954) Dewar, J., Proc. Roy. Sac. (London) A76, 325 (1904) Ewald, R., Ann. phys. (4) 1213 (1914) Jacobs, C. J. and Parks, G. S., J. Am. &em. SOC. 56, 1513 (1934)
Richards, T. W. and Jackson, F. G., Z. physik. Chem. 70, 414 (1910)
- -
Koref, F., Ann. P h p . (4) &, 49 (19ll) -
Comments :
For 0 < T 2 ° K
Temp.
"K
1 2 3 4 6 8 10 1 5 20
25 30 40 50 60
CP 3/@-"K
.ooo 005
.ooo 027
.ooo 070
.OOO 144 9000 33 .ooo 64 .001 14 *003 3 -006 3 .010 3 0015 5 .027 .oh2 .058
Temp. 7 a 0 0 0 002 .ooo 016 .om 062 .ooo 168 .ooo 61 .mi 56 *oo3 3 .014 2 .038 9079 .143 36 70
1.23 ..--.
1 70 80 90 100 120
140 160 180 m 220 243 263 280 300
cP 3/m- OK
0077 097 -118 . 140 . 188 .2b .296 -355 .414 .474 535 595
.656
.716 1_----
H
J/m 1.87
3.81
8.37 12.65 18.0 24.5 32.2
41.1 51.2 62.5 75.0 '
88.7
2.74
5.10
VIII-P-1
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0
e
I 2 3 4 6 TEMPERATURE, OK
8 IO
VI 11-P- 2
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- *
N
- 9
0
0
0
0. 4
9
31 dl33dS
VIII-P-3
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m '0
n
- ).
0 3 0 > - ).
v
E CI, \ m Q 3 0
L
.L.
c > J
I I- z W
a a
I 2 3 4 6 8 10 TEMPERATURE, OK
TEMPERATURE , O R 3 4 6 e . 10 ' 2
). n Q 3 0 > -
VI
E! -.. 3 I- m
L > -J 4 I I- z W
a
VIII-P-4
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00
(
u-
0 0
N
0
Ei 0
a, Y
W
0
q a fK W a. 5
w
ol-
e
0
m
VIII-I?-5
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- 425 - 400 v
I - 3.01
- I LL - I f!
m 3 .I-
,. + 0 al I O
O 0, Q. v)
.- Y-
1.00 I
I IO Tempera ture , K
40
SPECIFIC HEAT VERSUS TEMPERATURE FOR TYPE 310s STAINLESS STEEL
VIII-Q-5
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I
Temperature, F
IO Temperature, K
100 300
100,000
10,000 2 rn
1000
SPECIFIC HEAT VERSUSTEMPERATURE FOR TYPE 310s STAINLESS STEEL
VIII-Q-7
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SPECIFIC HEAT, ENTHUPY of ERYLLIUM
Source of De+&: Rill, R. W. and Smith., P. L., Phil. Rig. 44, 636-44 (1953)
Other References :
Crisbscu, S. and Simon, F., 2. physik. Chem. -' B25 273 (1934) Kelley, K. K., U.S. Bur. Mines B u l l . 150. 476 (1949) w s , E. J., Rys. Rev. (2) &, 1575 (1929) Simon, F. and R u h e m a ~ , M., 2. physik. Chem. x, 321 (1921)
Cements : For the t e m p r a t w e range f'rom 0. to 20%, the specific heat % follows the equation:
Table of Sekcted V a l u e s
Temp. %
1 2 3 4 6
8 10 15 20 25
40 50 60
30
CE) J/W- "K
0 . m 025 .OOO 051
079 .Ooo log .ooo 180
.Ooo 271
.OOo 389
.ooo a 2
.mi 61 -002 79
.004 50 *w 96 .019 2 .034 1
H
5/g. Temp- %
cp j/@- "K
0.0562 .ogo6 139 199 345
0525 *723 -921
1.11 1.29 1.47 1.64 1.81 1-97
H
J/gm
0 .g1 1.69 2.82 4.51 9 087
18.5 31 .O 47.4 67.8 91.8
1.20 151 185 223
RJC/JJG Issued: 10-13-59
VIII-R-1
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VIII-R-2
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TEMPERATURE, O K
I m D 4
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TEMPERATURE. O R
i 2 4 6 a IO TEMPERATURE, O K
VIII-R-4
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8 N 0
0
- 0 U
JB / SQl no!
'AdlV
H 1 N
3
VI 11-R- 5
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Sources of a t e :
Corak, W. S . and Sstterwaite, C. B . , Pnys. Rev. 102, 662 (195s) Goohan, B. Be, Coapt. rend. - 2k4, 2899 (1957) Keesoffi, W. H. and Ten den Ebde, J. N.
Lance, F. , 2. physik. C h e m . - 110, 343 (1924) Fadebush, W. H . , J. 4s. Cfrem. Ssc. 45, 1413 (1923)
- Proc. Aced. Sci. k s t e r d m 35,
143 (1932)
- Ot'ner References : ..-
BAnste6, J. N., Z. physik:. Chem. 88, 479 (1914) Keeson, W. E. m d Kok, J. A., ProcTAead. Se i . h t e r d m 35, 743 (1912) Keesom, W. H. and V a n Laer, P. E . , Physica 3 r 371 (1936) Keeson, W. E. and Van Laer, P. E.., Physics h, 487 (1937) Keesom, W. E. and Van Leer, P. E., Physica 5, 193 (1933) Ramnesthen, K. G. and Srinivasen, T. M., Phi l . bfaz. 46, 335 (1955) Richards, T. W. and Jackson, R. G . , Z. physik. G h e m . 70, 4114 (1910) Schnitz, H. E., Psoc. Roy. Soc. (London) 72, 177 (193
-
-
Table of S e l e k e d Values
Temp.
-K
1 2 3
4 5 6 8 10
15 a 25
30 40 50
_I-..-
"3 072
* SU-E r c onduc t i n 6
l-l--l--_
' Super- conduct ins LI_-___"_ -- 0.000 ookl
.ooo 048 ,000 151
.om 285
-__.--
N O n r E l
-.-
0.000 0079
.ooo 113
.om 221
.coo 283
.ooo 65
.oo1 51
.a16 8
.019 o
o w 3 .251 .498
.834 1.75 2.93
-,..--
%Kip
s(
60 70 80
90 E o 0 128
140 160 1
200 220 240
260 230 3(33 -*. ._ ,.. .
r a n s i t i o n tenp2ratwe
VIII-s-1
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VIII-s-2
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5 H H I
VJ I w .
TEMPERATURE, O R
.3
.2
Y 0
E ," .I
3 .OO
-- .os
In (u
0 3
Q 0
I- a .04 W I
u LL V w a
Y ..
-
v) .02
.o I
.608 I
80 100 3Q0 TEMPERATURE 'I O K
![Page 89: VIII. SPECIFIC HEAT OF SOLIDS](https://reader031.vdocuments.us/reader031/viewer/2022012309/586cb7661a28abc7348b5a6f/html5/thumbnails/89.jpg)
3 4 6 8 IO
T E Fvl PE RATU R E, OK
VIII-S-4
- . .
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ENTH
ALPY,
BTU
1 Ob
VLII-s-5
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TEMPERATURE, O R
I 2 3 4 6 8 TEMPERATURE, O K
V I I I - T - 1
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SPECIFIC H
EA
T (L). B
TUllbO
R
VIII-T-2
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TEMPERATURE, O R
2 3 4 6 0 10
I 2 3 4 6 0 10 TEMPERATURE, O K
VIII-T- 3
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EN
THA
LPY
, B
TU/Ib
'0
al Y
0
c
W
3
t- 0: W
,g u
a
a
r O
W
*I
-
O
rr)
0
(u