94
A. B. C. D. E. F. G. H. I. J. K. L. M. N. 0. P. Q. R. S. T. VIIL. SPECIFIC HEAT OF SOME SOLIDS -- CONTENTS A1 um i num Copper Indium Iron (a), (y) Tantalum Activated Charcoal Ice Polyethylene Teflon Rubber, Buna-s, Kel-F Rubber, Natural Quartz Vitreous Silica (Silica Glass, Quartz Glass) Araldite, Epoxies Niobium, Niobium-Titanium, Titanium Carbon Stainless Steel Beryllium Tin Lead Additional Reference to Entire Chapter: NBS Monograph 21. VI1 I- INDEX P

VIII. SPECIFIC HEAT OF SOLIDS

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Page 1: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 2: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 3: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 4: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 5: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 6: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 7: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 8: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 9: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 10: VIII. SPECIFIC HEAT OF SOLIDS

l-

W I

a

I 2 3 4 6 0 IO TEMPERATURE, s(

VIII-B-3

Page 11: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 12: VIII. SPECIFIC HEAT OF SOLIDS

-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

Page 13: VIII. SPECIFIC HEAT OF SOLIDS

m

rr)

N

N

t- In

N

0

VIII-B

-6

Page 14: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 15: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 16: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 17: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 18: VIII. SPECIFIC HEAT OF SOLIDS

TEMPERATURE, O K

VLLI-c-2

Page 19: VIII. SPECIFIC HEAT OF SOLIDS

e

VIJI-c- 3

Page 20: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 21: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 22: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 23: VIII. SPECIFIC HEAT OF SOLIDS

I 2 3 4 5 6 7 8 9 1 0 TEMPERATURE, O K

VIII-D-2

Page 24: VIII. SPECIFIC HEAT OF SOLIDS

8 e e

Page 25: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 26: VIII. SPECIFIC HEAT OF SOLIDS

4.181 TEMPERATURE, OF?

20 30 40 50 60 70 80 90 100 TEMPERATURE, "K

200 300

Page 27: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 28: VIII. SPECIFIC HEAT OF SOLIDS

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,

-

Page 29: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 30: VIII. SPECIFIC HEAT OF SOLIDS

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.

Page 31: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 32: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 33: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 34: VIII. SPECIFIC HEAT OF SOLIDS

TEMPERATURE, OR

VI1 I-I?- 2

Page 35: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 36: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 37: VIII. SPECIFIC HEAT OF SOLIDS

Y 0

I 2 3 4

TEMPERATURE, OK

6 8 IO

VIII-G-2

Page 38: VIII. SPECIFIC HEAT OF SOLIDS

8 8

0 0

m

0 0

-

VLII-G-3

Page 39: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 40: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 41: VIII. SPECIFIC HEAT OF SOLIDS

VIII-H-2.1

Page 42: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 43: VIII. SPECIFIC HEAT OF SOLIDS

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

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

Page 45: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 46: VIII. SPECIFIC HEAT OF SOLIDS

0.0 I

Temperature, F

IO Temperature, K

IO0 300

SPECIFIC HEAT VERSUS TEMPERATURE FOR POLYCHLOROTRIFLUOROETHYLENE (KEL-F)

VIII-J-3

Page 47: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 48: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 49: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 50: VIII. SPECIFIC HEAT OF SOLIDS

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

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 .

Page 52: VIII. SPECIFIC HEAT OF SOLIDS

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

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 '

Page 54: VIII. SPECIFIC HEAT OF SOLIDS

. .)

- 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

Page 55: VIII. SPECIFIC HEAT OF SOLIDS

,

- 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

. \.. .. , * :. ' * . 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 '.. . . . .

Page 57: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 58: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 59: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 60: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 61: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 62: VIII. SPECIFIC HEAT OF SOLIDS

TEMPERATURE, O R

I 2 3 4 6 8 10 20 TEMPERATURE, OK

VIII-N-3.2

Page 63: VIII. SPECIFIC HEAT OF SOLIDS

\

I 2 20

VIII-N-3.3

Page 64: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 65: VIII. SPECIFIC HEAT OF SOLIDS

2 3 4 6 8 10

TEMPERATURE, O K

VIII-0-1.2

Page 66: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 67: VIII. SPECIFIC HEAT OF SOLIDS

4

2

I

0.4

0.2

0.1

.O 4

.O 2

TEMPERATURE ,OR

TEMPERATURE, O K

VIII-0-1.4

Page 68: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 69: VIII. SPECIFIC HEAT OF SOLIDS

' 0 3 r

Temperature ,OK

SPECIFIC HEAT V E R S U S TEMPERATURE FOR NB 51 TI 49

VI 11-0- 2

Page 70: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 71: VIII. SPECIFIC HEAT OF SOLIDS

TEMPERATURE, O R

VIIZ-0-3.2

Page 72: VIII. SPECIFIC HEAT OF SOLIDS

5 H H I 0 I

W

W

TEMPERATURE, O R

- - IO 20 30 40 60 RO

TEMPERATURE, "R 2GO 300

Page 73: VIII. SPECIFIC HEAT OF SOLIDS

VIII-0-3.4

Page 74: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 75: VIII. SPECIFIC HEAT OF SOLIDS

0

e

I 2 3 4 6 TEMPERATURE, OK

8 IO

VI 11-P- 2

Page 76: VIII. SPECIFIC HEAT OF SOLIDS

- *

N

- 9

0

0

0

0. 4

9

31 dl33dS

VIII-P-3

Page 77: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 78: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 79: VIII. SPECIFIC HEAT OF SOLIDS

- 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

Page 80: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 81: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 82: VIII. SPECIFIC HEAT OF SOLIDS

VIII-R-2

Page 83: VIII. SPECIFIC HEAT OF SOLIDS

TEMPERATURE, O K

I m D 4

Page 84: VIII. SPECIFIC HEAT OF SOLIDS

TEMPERATURE. O R

i 2 4 6 a IO TEMPERATURE, O K

VIII-R-4

Page 85: VIII. SPECIFIC HEAT OF SOLIDS

8 N 0

0

- 0 U

JB / SQl no!

'AdlV

H 1 N

3

VI 11-R- 5

Page 86: VIII. SPECIFIC HEAT OF SOLIDS

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

Page 87: VIII. SPECIFIC HEAT OF SOLIDS

VIII-s-2

Page 88: VIII. SPECIFIC HEAT OF SOLIDS

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

3 4 6 8 IO

T E Fvl PE RATU R E, OK

VIII-S-4

- . .

Page 90: VIII. SPECIFIC HEAT OF SOLIDS

ENTH

ALPY,

BTU

1 Ob

VLII-s-5

Page 91: VIII. SPECIFIC HEAT OF SOLIDS

TEMPERATURE, O R

I 2 3 4 6 8 TEMPERATURE, O K

V I I I - T - 1

Page 92: VIII. SPECIFIC HEAT OF SOLIDS

SPECIFIC H

EA

T (L). B

TUllbO

R

VIII-T-2

Page 93: VIII. SPECIFIC HEAT OF SOLIDS

TEMPERATURE, O R

2 3 4 6 0 10

I 2 3 4 6 0 10 TEMPERATURE, O K

VIII-T- 3

Page 94: VIII. SPECIFIC HEAT OF SOLIDS

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