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Separative work units

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186: 33: 900:) of LEU with a U concentration of 3.75%. This quantity is produced from about 210 t of NU using about 120 kSWU. An enrichment plant with a capacity of 1000 kSWU/a is, therefore, able to enrich the uranium needed to fuel about eight large nuclear power stations. 136:– is a function of the concentrations of the feedstock, the enriched output, and the depleted tailings; and is expressed in units which are so calculated as to be proportional to the total input (energy / machine operation time) and to the mass processed. 491: 614: 847: 763: 226: 525: 139:
The same amount of separative work will require different amounts of energy depending on the efficiency of the separation technology. Separative work is measured in
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The number of separative work units provided by an enrichment facility is directly related to the amount of energy that the facility consumes. Modern
185: 97: 537: 69: 769: 685: 880:, (GJ) of electricity per SWU while gas centrifuge plants require just 50 to 60 kW·h (180–220 MJ) of electricity per SWU. 50: 76: 927: 17: 978: 83: 986: 116: 65: 54: 1012: 196: 499: 90: 897: 43: 1007: 486:{\displaystyle W_{\mathrm {SWU} }=P\cdot V\left(x_{p}\right)+T\cdot V(x_{t})-F\cdot V(x_{f})} 345: 298: 251: 173:. In the early 2020s the cost of 1 SWU was approximately $ 100. The unit was introduced by 8: 892:
station with a net electrical capacity of 1300 MW requires about 25 tonnes per year (25
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Selected Scientific Papers Of Sir Rudolf Peierls, With Commentary By The Author
528: 1001: 889: 873: 916: 174: 877: 861:(NU), it takes about 62 SWU to produce 10 kilograms (22 lb) of 32: 958: 189:
Logarithmic function used in calculating Separative Work Units
893: 609:{\displaystyle V(x)=(2x-1)\ln \left({\frac {x}{1-x}}\right)} 169:
a unit of energy, but serves as a measure of the enrichment
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For example, beginning with 102 kilograms (225 lb) of
842:{\displaystyle T={\frac {x_{p}-x_{f}}{x_{f}-x_{t}}}\cdot P} 758:{\displaystyle F={\frac {x_{p}-x_{t}}{x_{f}-x_{t}}}\cdot P} 952:
Bernstein, Jeremy (2009-06-13). "SWU for You and Me".
865:(LEU) in U content to 4.5%, at a tails assay of 0.3%. 772: 688: 665: 645: 625: 540: 502: 378: 348: 328: 301: 281: 254: 234: 199: 57:. Unsourced material may be challenged and removed. 841: 757: 671: 651: 631: 608: 519: 485: 361: 334: 314: 287: 267: 240: 220: 999: 957: 951: 117:Learn how and when to remove this message 872:plants typically require 2,400 to 2,500 143:SWU, kg SW, or kg UTA (from the German 14: 1000: 972: 132:– the amount of separation done by a 947: 945: 928:US Energy Information Administration 619:Given the desired amount of product 155:1 SWU = 1 kg SW = 1 kg UTA 55:adding citations to reliable sources 26: 979:World Scientific Publishing Company 24: 391: 388: 385: 221:{\displaystyle W_{\mathrm {SWU} }} 212: 209: 206: 184: 25: 1024: 942: 917:"Uranium Marketing Annual Report" 31: 520:{\displaystyle V\left(x\right)} 42:needs additional citations for 966: 909: 571: 556: 550: 544: 480: 467: 452: 439: 13: 1: 903: 228:necessary to separate a mass 180: 369:is given by the expression: 7: 10: 1029: 852: 161:1 MSWU = 1 ktSW = 1 kt UTA 134:Uranium enrichment process 165:Separative work unit is 158:1 kSWU = 1 tSW = 1 t UTA 149:uranium separation work 66:"Separative work units" 843: 759: 673: 653: 633: 610: 521: 487: 363: 336: 316: 289: 269: 242: 222: 190: 844: 760: 674: 654: 639:, the necessary feed 634: 611: 522: 488: 364: 362:{\displaystyle x_{t}} 337: 317: 315:{\displaystyle x_{p}} 290: 270: 268:{\displaystyle x_{f}} 243: 223: 188: 141:Separative work units 863:Low-enriched uranium 770: 686: 663: 659:and resulting tails 643: 623: 538: 500: 376: 346: 326: 322:, and tails of mass 299: 279: 252: 232: 197: 51:improve this article 18:Separative Work Unit 1013:Isotope separation 973:Fuchs, K. (1997). 839: 755: 669: 649: 629: 606: 517: 483: 359: 332: 312: 285: 265: 238: 218: 191: 876:(kW·h), or 8.6–9 870:gaseous diffusion 831: 747: 672:{\displaystyle T} 652:{\displaystyle F} 632:{\displaystyle P} 600: 335:{\displaystyle T} 295:of product assay 288:{\displaystyle P} 248:of feed of assay 241:{\displaystyle F} 127: 126: 119: 101: 16:(Redirected from 1020: 993: 992: 970: 964: 963: 961: 949: 940: 939: 937: 935: 921: 913: 848: 846: 845: 840: 832: 830: 829: 828: 816: 815: 805: 804: 803: 791: 790: 780: 764: 762: 761: 756: 748: 746: 745: 744: 732: 731: 721: 720: 719: 707: 706: 696: 678: 676: 675: 670: 658: 656: 655: 650: 638: 636: 635: 630: 615: 613: 612: 607: 605: 601: 599: 585: 526: 524: 523: 518: 516: 492: 490: 489: 484: 479: 478: 451: 450: 426: 422: 421: 396: 395: 394: 368: 366: 365: 360: 358: 357: 341: 339: 338: 333: 321: 319: 318: 313: 311: 310: 294: 292: 291: 286: 274: 272: 271: 266: 264: 263: 247: 245: 244: 239: 227: 225: 224: 219: 217: 216: 215: 122: 115: 111: 108: 102: 100: 59: 35: 27: 21: 1028: 1027: 1023: 1022: 1021: 1019: 1018: 1017: 998: 997: 996: 989: 981:. p. 303. 971: 967: 950: 943: 933: 931: 930:. June 13, 2023 920:(data for 2022) 919: 915: 914: 910: 906: 859:natural uranium 855: 824: 820: 811: 807: 806: 799: 795: 786: 782: 781: 779: 771: 768: 767: 740: 736: 727: 723: 722: 715: 711: 702: 698: 697: 695: 687: 684: 683: 664: 661: 660: 644: 641: 640: 624: 621: 620: 589: 584: 580: 539: 536: 535: 506: 501: 498: 497: 474: 470: 446: 442: 417: 413: 409: 384: 383: 379: 377: 374: 373: 353: 349: 347: 344: 343: 327: 324: 323: 306: 302: 300: 297: 296: 280: 277: 276: 259: 255: 253: 250: 249: 233: 230: 229: 205: 204: 200: 198: 195: 194: 183: 145:Urantrennarbeit 130:Separative work 123: 112: 106: 103: 60: 58: 48: 36: 23: 22: 15: 12: 11: 5: 1026: 1016: 1015: 1010: 995: 994: 987: 965: 941: 907: 905: 902: 874:kilowatt-hours 854: 851: 850: 849: 838: 835: 827: 823: 819: 814: 810: 802: 798: 794: 789: 785: 778: 775: 765: 754: 751: 743: 739: 735: 730: 726: 718: 714: 710: 705: 701: 694: 691: 668: 648: 628: 617: 616: 604: 598: 595: 592: 588: 583: 579: 576: 573: 570: 567: 564: 561: 558: 555: 552: 549: 546: 543: 531:, defined as: 529:value function 515: 512: 509: 505: 494: 493: 482: 477: 473: 469: 466: 463: 460: 457: 454: 449: 445: 441: 438: 435: 432: 429: 425: 420: 416: 412: 408: 405: 402: 399: 393: 390: 387: 382: 356: 352: 331: 309: 305: 284: 262: 258: 237: 214: 211: 208: 203: 182: 179: 163: 162: 159: 156: 125: 124: 39: 37: 30: 9: 6: 4: 3: 2: 1025: 1014: 1011: 1009: 1008:Nuclear fuels 1006: 1005: 1003: 990: 988:9789814498883 984: 980: 976: 969: 960: 955: 948: 946: 929: 925: 918: 912: 908: 901: 899: 895: 891: 890:nuclear power 886: 885: 881: 879: 875: 871: 866: 864: 860: 836: 833: 825: 821: 817: 812: 808: 800: 796: 792: 787: 783: 776: 773: 766: 752: 749: 741: 737: 733: 728: 724: 716: 712: 708: 703: 699: 692: 689: 682: 681: 680: 666: 646: 626: 602: 596: 593: 590: 586: 581: 577: 574: 568: 565: 562: 559: 553: 547: 541: 534: 533: 532: 530: 513: 510: 507: 503: 475: 471: 464: 461: 458: 455: 447: 443: 436: 433: 430: 427: 423: 418: 414: 410: 406: 403: 400: 397: 380: 372: 371: 370: 354: 350: 329: 307: 303: 282: 260: 256: 235: 201: 187: 178: 176: 172: 168: 160: 157: 154: 153: 152: 150: 146: 142: 137: 135: 131: 121: 118: 110: 99: 96: 92: 89: 85: 82: 78: 75: 71: 68: –  67: 63: 62:Find sources: 56: 52: 46: 45: 40:This article 38: 34: 29: 28: 19: 974: 968: 932:. Retrieved 923: 911: 887: 883: 882: 867: 856: 618: 495: 275:into a mass 192: 170: 166: 164: 148: 147:– literally 144: 140: 138: 129: 128: 113: 107:January 2022 104: 94: 87: 80: 73: 61: 49:Please help 44:verification 41: 1002:Categories 904:References 878:gigajoules 342:and assay 181:Definition 175:Paul Dirac 77:newspapers 959:0906.2505 834:⋅ 818:− 793:− 750:⋅ 734:− 709:− 594:− 578:⁡ 566:− 462:⋅ 456:− 434:⋅ 404:⋅ 193:The work 177:in 1941. 934:2 August 888:A large 884:Example: 171:services 924:eia.gov 853:Example 527:is the 91:scholar 985:  496:where 93:  86:  79:  72:  64:  954:arXiv 679:are: 98:JSTOR 84:books 983:ISBN 936:2023 70:news 167:not 53:by 1004:: 977:. 944:^ 926:. 922:. 575:ln 151:) 991:. 962:. 956:: 938:. 898:a 896:/ 894:t 837:P 826:t 822:x 813:f 809:x 801:f 797:x 788:p 784:x 777:= 774:T 753:P 742:t 738:x 729:f 725:x 717:t 713:x 704:p 700:x 693:= 690:F 667:T 647:F 627:P 603:) 597:x 591:1 587:x 582:( 572:) 569:1 563:x 560:2 557:( 554:= 551:) 548:x 545:( 542:V 514:) 511:x 508:( 504:V 481:) 476:f 472:x 468:( 465:V 459:F 453:) 448:t 444:x 440:( 437:V 431:T 428:+ 424:) 419:p 415:x 411:( 407:V 401:P 398:= 392:U 389:W 386:S 381:W 355:t 351:x 330:T 308:p 304:x 283:P 261:f 257:x 236:F 213:U 210:W 207:S 202:W 120:) 114:( 109:) 105:( 95:· 88:· 81:· 74:· 47:. 20:)

Index

Separative Work Unit

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"Separative work units"
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JSTOR
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Uranium enrichment process
Paul Dirac
Logarithmic function used in calculating Separative Work Units
value function
natural uranium
Low-enriched uranium
gaseous diffusion
kilowatt-hours
gigajoules
nuclear power
t
a
"Uranium Marketing Annual Report"
US Energy Information Administration


arXiv
0906.2505

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