trabajo de capacidad calorífica

7/26/2019 Trabajo de Capacidad Calorfica

1/52

UNIVERSIDAD NACIONAL FEDERICO VILLARREAL

FACULTAD DE CIENCIAS NATURALES Y

MATEMTICAS

ESCUELA PROFESIONAL DE QUMICA

PROFESOR DEL CURSO:

DANILO CHAVEZ

CURSO:

FISICOQUMICA I

TEMA:

CAPACIDAD CALORFICA

ALUMNA:

CONTRERAS RODRGUEZ MAL SANDY

LIMA PER

2014


2/52


3/52


4/52

BISMUTO

I.- Ley de Cubos de Debye (0-30K)

= 312

4153Donde:

= 134.4 .23 :() = 8.31441: = 3.1416

:

=1 + 0.021 a)Hallamos la temperatura caracterstica del Wolframio

= 134.4 .23 Donde:

: 272+ 273= 545: 209: 21.35= = = 2099.79= 21.3483146= 9.79

Reemplazando:

= 134.4 545

209 (21.35)23 = 78.2333181= 78.23


5/52

b)Hallando y desde 0hasta 30:= 3(8.31441) 12(3.1416)4

15

330.413

1. Para: = 0- = 0- = 0- = 0

2. Para: = 5-

= 0.5074955

- = 0.5074955 1 + 0.021 0.5074955 5545= 0.5075451- = 0.10150903. Para: = 10

- = 4.0599640- = 4.0599640 1 + 0.021 4.0599640 10545= 4.0607579-

= 0.4060758

4. Para: = 15- = 13.7023784- = 13.7023784 1 + 0.021 13.7023784 15545= 13.8108974- = 0.9207265

5. Para:

= 20

- = 32.4797117- = 32.4797117 1 + 0.021 32.4797117 20545= 33.2926866- = 1.6646343


6/52

6. Para: = 25- = 63.4369369- = 63.4369369 1 + 0.021 63.4369369 25545= 67.3135031- = 2.69254017. Para: = 30

- = 109.6190269- = 109.6190269 1 + 0.021 109.6190269 30545= 123.5094646- = 4.1169822


7/52

II.- Ley de Nerst - Linderman (30 - 298K)

= 1 + 0.021 Donde:

= 322 12+

222212

Entonces:

= 3(8.31441)2 78.2378.232

78.23

1

2 + 78.23278.232

2

78.23

2

1

2

8. Para: = 30- = 18.1304950- = 18.1304950 1 + 0.021 18.1304950 30545= 18.5104773- = 0.6170159

9. Para: = 35- = 19.6086614- = 19.6086614 1 + 0.021 19.6086614 35545= 20.1272067- = 0.5750630

10. Para: = 40- = 20.6784753-

= 20.6784753

1 + 0.021 20.6784753

40545

=21.3375275

- = 0.5334382


8/52

11. Para: = 45- = 21.4689851- = 21.4689851 1 + 0.021 21.4689851 45545= 22.2681904- = 0.4948487

12. Para: = 50- = 22.0655305- = 22.0655305 1 + 0.021 22.0655305 50545= 23.0035709- = 0.4600714

13. Para: = 55- = 22.5246998- = 22.5246998 1 + 0.021 22.5246998 55545= 23.5999351- = 0.4290897

14. Para: = 60-

= 22.8845579

- = 22.8845579 1 + 0.021 22.8845579 60545= 24.0953208- = 0.4015887

15. Para: = 65- = 23.1711964- = 23.1711964 1 + 0.021 23.1711964 65545= 24.5159201-

= 0.3771680


9/52

16. Para: = 70- = 23.4028539- = 23.4028539 1 + 0.021 23.4028539 70545= 24.8801191- = 0.3554303

17. Para: = 75- = 23.5925245- = 23.5925245 1 + 0.021 23.5925245 75545= 25.2010683- = 0.3360142

18. Para: = 80- = 23.7496392- = 23.7496392 1 + 0.021 23.7496392 80545= 25.4883478- = 0.3186043

19. Para: = 85-

= 23.8811547

- = 23.8811547 1 + 0.021 23.8811547 85545= 25.7490493- = 0.3029300

20. Para: = 90- = 23.9922879- = 23.9922879 1 + 0.021 23.9922879 90545= 25.9885089-

= 0.2887612


10/52

21. Para: = 95- = 24.0870022- = 24.0870022 1 + 0.021 24.0870022 95545= 26.2107938- = 0.2759031

22. Para: = 100- = 24.1200120- = 24.1200120 1 + 0.021 24.1200120 100545= 26.3617138- = 0.2636171

23. Para: = 105- = 24.2387217- = 24.2387217 1 + 0.021 24.2387217 105545= 26.6157345- = 0.2534832

24. Para: = 110-

= 24.2999872

- = 24.2999872 1 + 0.021 24.2999872 110545= 26.8027954- = 0.2436618

25. Para: = 115- = 24.3536425- = 24.3536425 1 + 0.021 24.3536425 115545= 26.9817824-

= 0.2346242


11/52

26. Para: = 120- = 24.4008924- = 24.4008924 1 + 0.021 24.4008924 120545= 27.1539510- = 0.2262829

27. Para: = 125- = 24.4427132- = 24.4427132 1 + 0.021 24.4427132 125545= 27.3203212- = 0.2185626

28. Para: = 130- = 24.4798950- = 24.4798950 1 + 0.021 24.4798950 130545= 27.4817191- = 0.2113978

29. Para: = 135-

= 24.5131032

- = 24.5131032 1 + 0.021 24.5131032 135545= 27.6388453- = 0.2047322

30. Para: = 140- = 24.5428791- = 24.5428791 1 + 0.021 24.5428791 140545= 27.7922691-

= 0.1985162


12/52

31. Para: = 145- = 24.5696793- = 24.5696793 1 + 0.021 24.5696793 145545= 27.9424729- = 0.1927067

32. Para: = 150- = 24.5938842- = 24.5938842 1 + 0.021 24.5938842 150545= 28.0898590- = 0.1872657

33. Para: = 155- = 24.6158193- = 24.6158193 1 + 0.021 24.6158193 155545= 28.2347735- = 0.1821598

34. Para: = 160-

= 24.6357576

- = 24.6357576 1 + 0.021 24.6357576 160545= 28.3775063- = 0.1773594

35. Para: = 165- = 24.6539350- = 24.6539350 1 + 0.021 24.6539350 165545= 28.5183097-

= 0.1728382


13/52

36. Para: = 170- = 24.6705496- = 24.6705496 1 + 0.021 24.6705496 170545= 28.6573947- = 0.1685729

37. Para: = 175- = 24.6857787- = 24.6857787 1 + 0.021 24.6857787 175545= 28.7949524- = 0.1645426

38. Para: = 180- = 24.6997681- = 24.6997681 1 + 0.021 24.6997681 180545= 28.9311385- = 0.1607285

39. Para: = 185-

= 24.7126512

- = 24.7126512 1 + 0.021 24.7126512 185545= 29.0660976- = 0.1571140

40. Para: = 190- = 24.7245404- = 24.7245404 1 + 0.021 24.7245404 190545= 29.1999506-

= 0.1536840


14/52

41. Para: = 195- = 24.7355341- = 24.7355341 1 + 0.021 24.7355341 195545= 29.3328039- = 0.1504246

42. Para: = 200- = 24.7457209- = 24.7457209 1 + 0.021 24.7457209 200545= 29.4647539- = 0.1473238

43. Para: = 205- = 24.7551782- = 24.7551782 1 + 0.021 24.7551782 205545= 29.5958848- = 0.1443702

44. Para: = 210-

= 24.7639731

- = 24.7639731 1 + 0.021 24.7639731 210545= 29.7262699- = 0.1415537

45. Para: = 215- = 24.7639731- = 24.7639731 1 + 0.021 24.7639731 215545= 29.8559745-

= 0.1388650


15/52

46. Para: = 220- = 24.7798108- = 24.7798108 1 + 0.021 24.7798108 220545= 29.9850591- = 0.1362957

47. Para: = 225- = 24.7869545- = 24.7869545 1 + 0.021 24.7869545 225545= 30.1135738- = 0.1338381

48. Para: = 230- = 24.7936418- = 24.7936418 1 + 0.021 24.7936418 230545= 30.2415688- = 0.1314851

49. Para: = 235-

= 24.7999088

- = 24.7999088 1 + 0.021 24.7999088 235545= 30.3690833- = 0.1292301

50. Para: = 240- = 24.8057904- = 24.8057904 1 + 0.021 24.8057904 240545= 30.4961561-

= 0.1270673


16/52

51. Para: = 245- = 24.8113178- = 24.8113178 1 + 0.021 24.8113178 245545= 30.6228218- = 0.1249911

52. Para: = 250- = 24.8165185- = 24.8165185 1 + 0.021 24.8165185 250545= 30.7491108- = 0.1229964

53. Para: = 255- = 24.8214173- = 24.8214173 1 + 0.021 24.8214173 255545= 30.8750508- = 0.1210786

54. Para: = 260-

= 24.8260393

- = 24.8260393 1 + 0.021 24.8260393 260545= 31.0006704- = 0.1192333

55. Para: = 265- = 24.8304019- = 24.8304019 1 + 0.021 24.8304019 265545= 31.1259879-

= 0.1174566


17/52

56. Para: = 270- = 24.8345275- = 24.8345275 1 + 0.021 24.8345275 270545= 31.2510298- = 0.1157446


18/52


19/52

NIOBIO


= 312

4153Donde:

= 134.4 .23 :() = 8.31441: = 3.1416

:


= 134.4 .23 Donde:

: 2477+ 273= 2750: 92.9: 10.84= = = 2098.57= 10.84= 8.57

Reemplazando:

= 134.4 2750

92.9 (10.84)23 = 330.4060552= 330.41


20/52


15

330.413

1. Para: = 0- = 0- = 0- = 0

2. Para: = 5-

= 0.0067359

- = 0.0067359 1 + 0.021 0.0067359 52750= 00067359- = 0.00134723. Para: = 10

- = 0.0538868- = 0.0538868 1 + 0.021 0.0538868 102750= 0.0538870-

= 0.0053887

4. Para: = 15- = 0.1818680- = 0.1818680 1 + 0.021 0.1818680 152750= 0.1818718- = 0.0121246

5. Para:

= 20

- = 0.4310946- = 0.4310946 1 + 0.021 0.4310946 202750= 0.4311230- = 0.0215561


21/52

6. Para: = 25- = 0.8419817- = 0.8419817 1 + 0.021 0.8419817 252750= 0.8421170- = 0.03368477. Para: = 30

- = 1.4549444- = 1.4549444 1 + 0.021 1.4549444 302750= 1.4554294- = 0.0485143


22/52


= 1 + 0.021 Donde:

= 322 12+

222212

Entonces:

= 3(8.31441)2 330.41330.412

330.41

1

2 + 330.412330.412

2

330.41

2

1

2

8. Para: = 35- = 2.6099367- = 2.6099367 1 + 0.021 2.6099367 352750= 2.6117573- = 0.0746216

9. Para: = 40- = 3.7539454- = 3.7539454 1 + 0.021 3.7539454 402750= 3.7582499- = 0.0939562

10. Para: = 45- = 4.9392861-

= 4.9392861

1 + 0.021 4.9392861

452750

= 4.9476696

- = 0.1099482


23/52

11. Para: = 50- = 6.1267296- = 6.1267296 1 + 0.021 6.1267296 502750= 6.1410618- = 0.122821212. Para: = 55

- = 7.2920198- = 7.2920198 1 + 0.021 7.2920198 552750= 7.3143527- = 0.1329882

13. Para: = 60- = 8.4191444- = 8.4191444 1 + 0.021 8.4191444 602750= 8.4516212- = 0.1408604

14. Para: = 65-

= 9.4971870

- = 9.4971870 1 + 0.021 9.4971870 652750= 9.5419573- = 0.1967993

15. Para: = 70- = 10.5189677- = 10.5189677 1 + 0.021 10.5189677 702750= 10.5781144-

= 0.1511159


24/52

16. Para: = 75- = 11.4802849- = 11.4802849 1 + 0.021 11.4802849 752750= 11.5557686- = 0.1540769

17. Para: = 80- = 12.3793551- = 12.3793551 1 + 0.021 12.3793551 802750= 12.4729760- = 0.1559122

18. Para: = 85- = 13.2162817- = 13.2162817 1 + 0.021 13.2162817 852750= 13.3296585- = 0.1568195

19. Para: = 90-

= 13.9925740

- = 13.9925740 1 + 0.021 13.9925740 902750= 14.1271366- = 0.1569682

20. Para: = 95- = 14.7107161- = 14.7107161 1 + 0.021 14.7107161 952750= 14.8677082-

= 0.1565022


25/52

21. Para: = 100- = 15.3738249- = 15.3738249 1 + 0.021 15.3738249 1002750= 15.5543138- = 0.1555431

22. Para: = 105- = 15.9853748- = 15.9853748 1 + 0.021 15.9853748 1052750= 16.1902652- = 0.1541930

23. Para: = 110- = 16.5489851- = 16.5489851 1 + 0.021 16.5489851 1102750= 16.7790350- = 0.1525367

24. Para: = 115-

= 17.0682826

- = 17.0682826 1 + 0.021 17.0682826 1152750= 17.3241200- = 0.1506445

25. Para: = 120- = 17.5471490- = 17.5471490 1 + 0.021 17.5471490 1202750= 17.8292996-

= 0.1485775


26/52

26. Para: = 125- = 17.9878897- = 17.9878897 1 + 0.021 17.9878897 1252750= 18.2967464- = 0.1463740

27. Para: = 130- = 18.3947295- = 18.3947295 1 + 0.021 18.3947295 1302750= 18.7306347- = 0.1440818

28. Para: = 135- = 18.7702606- = 18.7702606 1 + 0.021 18.7702606 1352750= 19.1334733- = 1417294

29. Para: = 140-

= 19.1172018

- = 19.1172018 1 + 0.021 19.1172018 1402750= 19.5079197- = 0.1393423

30. Para: = 145- = 19.4380487- = 19.4380487 1 + 0.021 19.4380487 1452750= 19.8564181-

= 0.1369408


27/52

31. Para: = 150- = 19.7350798- = 19.7350798 1 + 0.021 19.7350798 1502750= 20.1812038- = 0.1345414

32. Para: = 155- = 20.0103- = 20.0103 1 + 0.021 20.0103 1552750= 20.4842423- =0.1321564

33. Para: = 160- =20.2658137- = 20.2658137 1 + 0.021 20.2658137 1602750= 20.7674283- = 0.1297964

34. Para: = 165-

= 20.5031158

- = 20.5031158 1 + 0.021 20.5031158 1652750= 21.0327918- = 0.1274715

35. Para: = 170- = 20.7238282- = 20.7238282 1 + 0.021 20.7238282 1702750= 21.2813675-

= 0.1251845


28/52

36. Para: = 175- = 20.9293615- = 20.9293615 1 + 0.021 20.9293615 1752750= 21.5147398- = 0.1229414

37. Para: = 180- = 21.1209876- = 21.1209876 1 + 0.021 21.1209876 1802750= 21.7341670- = 0.1207454

38. Para: = 185- = 21.2998590- = 21.2998590 1 + 0.021 21.2998590 1852750= 21.9407908- = 0.1185989

39. Para: = 190-

= 21.4670221

- = 21.4670221 1 + 0.021 21.4670221 1902750= 22.1356489- = 0.1165034

40. Para: = 195- = 21.6234260- = 21.6234260 1 + 0.021 21.6234260 1952750= 22.3196840-

= 0.1144599


29/52

41. Para: = 200- = 21.7699273- = 21.7699273 1 + 0.021 21.7699273 2002750= 22.4937473- = 0.1124687

42. Para: = 205- = 21.9073107- = 21.9073107 1 + 0.021 21.9073107 2052750= 22.6586197- = 0.1105299

43. Para: = 210- = 22.0362833- = 22.0362833 1 + 0.021 22.0362833 2102750= 22.8150056- = 0.1086429

44. Para: = 215-

= 22.1574910

- = 22.1574910 1 + 0.021 22.1574910 2152750= 22.9635489- = 0.1068072

45. Para: = 220- = 22.2715214- = 22.2715214 1 + 0.021 22.2715214 2202750= 23.1048361-

= 0.1050220


30/52

46. Para: = 225- = 22.3789093- = 22.3789093 1 + 0.021 22.3789093 2252750= 23.2394015- = 0.1032862

47. Para: = 230- = 22.4801426- = 22.4801426 1 + 0.021 22.4801426 2302750= 23.3677329- = 0.1015988

48. Para: = 235- = 22.5756688- = 22.5756688 1 + 0.021 22.5756688 2352750= 23.4902783- = 0.0999586

49. Para: = 240-

= 22.6658946

- = 22.6658946 1 + 0.021 22.6658946 2402750= 23.6074450- = 0.0983644

50. Para: = 245- = 22.7511953- = 22.7511953 1 + 0.021 22.7511953 2452750= 23.7196094-

= 0.0968147


31/52

51. Para: = 250- = 22.8319115- = 22.8319115 1 + 0.021 22.8319115 2502750= 23.9314721- = 0.0957259

52. Para: = 255- = 22.9083574- = 22.9083574 1 + 0.021 22.9083574 2552750= 23.9302722- = 0.0938442

53. Para: = 260- = 22.9808212- = 22.9808212 1 + 0.021 22.9808212 2602750= 24.0293758- = 0.0924207

54. Para: = 265-

= 23.0495684

- = 23.0495684 1 + 0.021 23.0495684 2652750= 24.1246912- = 0.0910366

55. Para: = 270- = 23.1148422- = 23.1148422 1 + 0.021 23.1148422 2702750= 24.2164633-

= 0.0896906


32/52


33/52

WOLFRAMIO


= 312

4153Donde:

= 134.4 .23 :() = 8.31441: = 3.1416

:


= 134.4 .23 Donde:

: 3422+ 273= 3695: 183.8: 9.52= = = 183.819.3 = 9.5233161= 19.3

Reemplazando:

= 134.4 3695

183.8 (9.52)23 = 284.3291721= 284.33


34/52


15

284.333

1. Para: = 0- = 0- = 0- = 0

2. Para: = 5-

= 0.0105702

- = 0.0105702 1 + 0.021 0.0105702 53695= 0.0105702- = 0.00211403. Para: = 10

- = 0.0845618- = 0.0845618 1 + 0.021 0.0845618 103695= 0.0845622-

= 0.0084562

4. Para: = 15- = 0.2853960- = 0.2853960 1 + 0.021 0.2853960 153695= 0.2854029- = 0.0190269

5. Para:

= 20

- = 0.6765006- = 0.06765006 1 + 0.021 0.06765006 203695= 0.6765526- = 0.0338276


35/52

6. Para: = 25- = 1.3212778- = 1.3212778 1 + 0.021 1.3212778 253695= 1.3215258- = 0.05286107. Para: = 30

- = 2.2831680- = 2.2831680 1 + 0.021 2.2831680 303695= 2.2840568- = 0.0761352


36/52


= 1 + 0.021 Donde:

= 322 12+

222212

Entonces:

= 3(8.31441)2 284.33284.332

284.33

1

2 + 284.332284.332

2

284.33

2

1

2

8. Para: = 30- =2.5794861- = 2.5794861 1 + 0.021 2.5794861 303695=2.5806206- =0.0860207

9. Para: = 35- =3.9119917- = 3.9119917 1 + 0.021 3.9119917 353695=3.9150359- =0.1118582

10. Para: = 40- =5.2924719-

= 5.2924719

1 + 0.021 5.2924719

403695

=5.2988396

- =0.1324710


37/52

11. Para: = 45- =6.6649752- = 6.6649752 1 + 0.021 6.6649752 453695=6.6763361- =0.1483630

12. Para: = 50- =7.9968510- = 7.9968510 1 + 0.021 7.9968510 503695=8.0150234- =0.1603005

13. Para: = 55- =9.2675337- = 9.2675337 1 + 0.021 9.2675337 553695=9.2943807- =0.1689887

14. Para: = 60-

=10.4640964

- = 10.4640964 1 + 0.021 10.4640964 603695=10.5014351- =0.1750239

15. Para: = 65- =11.5793318- = 11.5793318 1 + 0.021 11.5793318 653695=11.6288637-

=0.1789056


38/52

16. Para: = 70- =12.6104837- = 12.6104837 1 + 0.021 12.6104837 703695=12.6737491- =0.1810536

17. Para: = 75- =13.5581557- = 13.5581557 1 + 0.021 13.5581557 753695=13.6365108- =0.1818201

18. Para: = 80- =14.4252899- = 14.4252899 1 + 0.021 14.4252899 803695=14.5199014- =0.1814988

19. Para: = 85-

=15.2163398

- = 15.2163398 1 + 0.021 15.2163398 853695=15.3281919- =0.1803317

20. Para: = 90- =15.9365921- = 15.9365921 1 + 0.021 15.9365921 903695=16.0665008-

=0.1785167


39/52

21. Para: = 95- =16.5917028- = 16.5917028 1 + 0.021 16.5917028 953695=16.7403341- =0.1762140

22. Para: = 100- =17.1873527- = 17.1873527 1 + 0.021 17.1873527 1003695=17.3552419- =0.1735524

23. Para: = 105- =17.7290391- = 17.7290391 1 + 0.021 17.7290391 1053695=17.9166642- =0.1706349

24. Para: = 110-

=18.2219442

- = 18.2219442 1 + 0.021 18.2219442 1103695=180.4295249- =0.1675411

25. Para: = 115- =18.6708732- = 18.6708732 1 + 0.021 18.6708732 1153695=18.8987142-

=0.1643366


40/52

26. Para: = 125- =19.4539487- = 19.4539487 1 + 0.021 19.4539487 1253695=19.7228113- =0.1577825

27. Para: = 130- =19.7956693- = 19.7956693 1 + 0.021 19.7956693 1303695=20.0851960- =0.1545015

28. Para: = 135- =20.1085892- = 20.1085892 1 + 0.021 20.1085892 1353695=20.4188321- =0.1512506

29. Para: = 140-

=20.3955919

- = 20.3955919 1 + 0.021 20.3955919 1403695=20.7265748- =0.1480470

30. Para: = 145- =20.6592466- = 20.6592466 1 + 0.021 20.6592466 1453695=21.0109704-

=0.1449032


41/52

31. Para: = 150- =20.9018441- = 20.9018441 1 + 0.021 20.9018441 1503695=21.2742918- =0.1418286

32. Para: = 155- =21.1254287- = 21.1254287 1 + 0.021 21.1254287 1553695=21.7456132- =0.1402943

33. Para: = 160- =21.3318225- = 21.3318225 1 + 0.021 21.3318225 1603695=21.7456132- =0.1359101

34. Para: = 165-

=21.5226504

- = 21.5226504 1 + 0.021 21.5226504 1653695=21.9570409- =0.1330730

35. Para: = 170- =21.6993605- = 21.6993605 1 + 0.021 21.6993605 1703695=22.1542937-

=0.1303194


42/52

36. Para: = 175- =21.8632473- = 21.8632473 1 + 0.021 21.8632473 1753695=22.3386616- =0.1276495

37. Para: = 180- =22.0154719- = 22.0154719 1 + 0.021 22.0154719 1803695=22.5113025- =0.1250628

38. Para: = 185- =22.1570695- = 22.1570695 1 + 0.021 22.1570695 1853695=22.6732496- =0.1225581

39. Para: = 190-

=22.2889691

- = 22.2889691 1 + 0.021 22.2889691 1903695=22.8254304- =0.1201338

40. Para: = 195- =22.4120065- = 22.4120065 1 + 0.021 22.4120065 1953695=22.9686805-

=0.1177881


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41. Para: = 200- =22.5269310- = 22.5269310 1 + 0.021 22.5269310 2003695=23.1037491- =0.1155187

42. Para: = 205- =22.6344175- = 22.6344175 1 + 0.021 22.6344175 2053695=23.2313117- =0.1133235

43. Para: = 210- =22.7350783- = 22.7350783 1 + 0.021 22.7350783 2103695=23.3519815- =0.1111999

44. Para: = 215-

=22.8294596

- = 22.8294596 1 + 0.021 22.8294596 2153695=23.4663058- =0.1091456

45. Para: = 220- =22.9180603- = 22.9180603 1 + 0.021 22.9180603 2203695=23.5747848-

=0.1071581


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CAPACIDAD CALORFICA DE LOS METALES:BISMUTO (Bi), NIOBIO (Nb), TUNGSTENO (W)

Objetivos:Calcular la capacidad calorfica de los metales Bismuto, Niobio y Tungsteno de 5 K a 300 K.

LEY DE LOS CUBOS DE DEBYE (5K - 30K)

Donde:

= Temperatura caracteristica K R = 8.31 Joule/mol

Ecuacin para hallar :

Donde:

A = peso

atmico

V = volumen molar

Metales

Bismuto 78.23

Niobio 330.41

Tungsteno 284.33

ECUACIN DE EINSTEIN Y NERNST-LINDEMAN (30K - 300K)

= 3 45 = 125

= 3

1

=134.4 . =

=

= =


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CORRECCIN DE NERNST - LINDEMAN (30K - 300K)

Determinacin de Cp a partir de Cv

Donde:

Tf = Temperatura de fusin K

Metales Tf - K

Bismuto 545

Niobio 2750Tungsteno 3695

Temperatura KBISMUTO NIOBIO TUNGSTENO

Cv Cp Cv Cp Cv Cp

5 0.507231 0.507257 0.006732344 0.006732 0.010565 0.010565

10 4.057848 4.061142 0.05385875 0.053859 0.084518 0.08452

15 9.122254 9.147219 0.181773281 0.181777 0.285247 0.285292

20 13.09783 13.16645 0.43087 0.430897 0.676142 0.676475

25 16.01721 16.14549 0.841542969 0.841671 1.320589 1.322176

30 18.09105 18.28743 1.45418625 1.454646 2.569779 2.576989

= 32 1 +

2 1

= 1+0.021

Determinacin de la capacidad calorfica desde 5 K a 300 KTemperaturas de 5 en 5 para los tres metales : Bismuto, Niobio, Tungsteno.

Temperaturas de 5K a 30K utilizaremos la frmula de la ley de cubos de Debey .

Temperaturas de 30K a 300K utilizaremos la ecuacin corregida de Nernst - Lindeman.


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35 19.56774 19.83576 2.600176412 2.601892 3.898663 3.918024

40 20.6366 20.9773 3.741065028 3.745125 5.275721 5.316241

45 21.42647 21.83966 4.923427198 4.931337 6.645051 6.71737

50 22.02257 22.50757 6.108066116 6.121593 7.974028 8.089738

55 22.48142 23.03738 7.270749701 7.291833 9.242108 9.413089

60 22.84104 23.4671 8.395476983 8.426143 10.43636 10.67421

65 23.1275 23.82284 9.471343332 9.513626 11.54957 11.86514

70 23.35901 24.12291 10.49116386 10.54703 12.57896 12.98208

75 23.54857 24.38037 11.45073171 11.52204 13.52511 14.02444

80 23.70559 24.60472 12.34824884 12.4367 14.39093 14.99392

85 23.83703 24.80298 13.18380252 13.29093 15.18084 15.89378

90 23.9481 24.98042 13.95888225 14.08605 15.90011 16.72822

95 24.04277 25.14107 14.67595703 14.82433 16.55437 17.5019

100 24.12407 25.28801 15.33812637 15.50872 17.14928 18.21966

105 24.1944 25.42368 15.94884653 16.14252 17.69033 18.88626

110 24.25564 25.54997 16.51172559 16.7292 18.18268 19.50627

115 24.30926 25.66843 17.03037645 17.27224 18.63112 20.08396

120 24.35649 25.78026 17.50831621 17.77506 19.04003 20.62332

125 24.39828 25.88647 17.94890119 18.24092 19.41339 21.12796

130 24.43545 25.98789 18.35528829 18.67289 19.75477 21.6012

135 24.46864 26.08517 18.7304154 19.07385 20.0674 22.04601

140 24.4984 26.17888 19.07699499 19.44646 20.35414 22.46508

145 24.52519 26.26949 19.39751673 19.79314 20.61756 22.86085

150 24.54938 26.3574 19.69425579 20.11614 20.85994 23.23547

155 24.5713 26.44293 19.96928473 20.41749 21.08334 23.59091

160 24.59123 26.52637 20.22448721 20.69905 21.28956 23.92891

165 24.6094 26.60796 20.46157254 20.96251 21.48023 24.25103

170 24.62601 26.6879 20.68209024 21.20939 21.6568 24.55869

175 24.64123 26.76639 20.88744422 21.44109 21.82056 24.85314

180 24.65521 26.84358 21.07890621 21.65885 21.97266 25.13554

185 24.66809 26.91959 21.25762827 21.86384 22.11415 25.40688

190 24.67997 26.99455 21.42465443 22.05707 22.24596 25.66811

195 24.69096 27.06857 21.58093127 22.23949 22.3689 25.92004

200 24.70114 27.14173 21.72731757 22.41196 22.48374 26.16343

205 24.71059 27.21411 21.86459305 22.57525 22.59115 26.39896210 24.71938 27.28579 21.99346629 22.73006 22.69174 26.62723

215 24.72757 27.35682 22.11458175 22.87704 22.78606 26.84881

220 24.73521 27.42727 22.22852621 23.01678 22.8746 27.06421

225 24.74236 27.49718 22.33583447 23.1498 22.95782 27.27387

230 24.74904 27.56661 22.43699446 23.27661 23.03611 27.47823

235 24.7553 27.63558 22.53245182 23.39763 23.10987 27.67766


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GRFICO DEL BISMUTO (Bi)

240 24.76118 27.70414 22.62261404 23.51329 23.17941 27.87251

245 24.76671 27.77232 22.70785412 23.62395 23.24505 28.0631

250 24.7719 27.84014 22.78851387 23.72995 23.30708 28.24972

255 24.7768 27.90764 22.86490688 23.83162 23.36574 28.43264

260 24.78142 27.97484 22.93732113 23.92925 23.42127 28.6121

265 24.78578 28.04176 23.00602142 24.02309 23.47388 28.78834

270 24.7899 28.10842 23.07125147 24.11339 23.52378 28.96155

275 24.7938 28.17483 23.13323584 24.20039 23.57114 29.13194

280 24.7975 28.24103 23.19218168 24.28428 23.61613 29.29967

285 24.801 28.30701 23.24828024 24.36527 23.6589 29.46491

290 24.80432 28.3728 23.30170831 24.44352 23.6996 29.62781

295 24.80748 28.43841 23.35262947 24.51921 23.73835 29.78851

300 24.81048 28.50384 23.40119521 24.59249 23.77528 29.94714


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GRFICO DEL NIOBIO (Nb)


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GRFICO DEL TUNGSTENO (W)


51/52


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BIBLIOGRAFIA

Fisicoqumica SI. Autor: Gilbert W. Castellan. Segunda Edicin 1987

Fisicoquimica Volumen i : Teoria Autor: Canales, Margaritabooks.google.com.pe/books?isbn=9683679579

Termodinamica de materiales- Leccin 2http://termodinamica.us.es/materiales/trans/Leccion2.pdf

Capacidad calorfica y temperatura de Debye Autor: Lorena Sigauta / Laboratorio 5

Facultad de Ciencias Exactas y Naturales - Universidad de Buenos Aireshttp://www.fisicarecreativa.com/informes/infor_especial/debye_lor_2k1.pdf

Capacidad Calorifica.pdfhttp://caaeii.cl/wp-content/uploads/2012/08/EIQ_301_01.pdf
http://books.google.com.pe/books?isbn=9683679579http://books.google.com.pe/books?isbn=9683679579http://termodinamica.us.es/materiales/trans/Leccion2.pdfhttp://termodinamica.us.es/materiales/trans/Leccion2.pdfhttp://www.fisicarecreativa.com/informes/infor_especial/debye_lor_2k1.pdfhttp://www.fisicarecreativa.com/informes/infor_especial/debye_lor_2k1.pdfhttp://caaeii.cl/wp-content/uploads/2012/08/EIQ_301_01.pdfhttp://caaeii.cl/wp-content/uploads/2012/08/EIQ_301_01.pdfhttp://caaeii.cl/wp-content/uploads/2012/08/EIQ_301_01.pdfhttp://www.fisicarecreativa.com/informes/infor_especial/debye_lor_2k1.pdfhttp://termodinamica.us.es/materiales/trans/Leccion2.pdfhttp://books.google.com.pe/books?isbn=9683679579

trabajo de capacidad calorífica

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