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Separative work units

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175: 22: 889:) 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. 125:– 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. 480: 603: 836: 752: 215: 514: 128:
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
174: 86: 526: 58: 758: 674: 869:, (GJ) of electricity per SWU while gas centrifuge plants require just 50 to 60 kW·h (180–220 MJ) of electricity per SWU. 39: 65: 916: 967: 72: 975: 105: 54: 43: 1001: 185: 488: 79: 886: 32: 996: 475:{\displaystyle W_{\mathrm {SWU} }=P\cdot V\left(x_{p}\right)+T\cdot V(x_{t})-F\cdot V(x_{f})} 334: 287: 240: 162:. In the early 2020s the cost of 1 SWU was approximately $ 100. The unit was introduced by 8: 881:
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
517: 990: 878: 862: 905: 163: 866: 850:(NU), it takes about 62 SWU to produce 10 kilograms (22 lb) of 21: 947: 178:
Logarithmic function used in calculating Separative Work Units
882: 598:{\displaystyle V(x)=(2x-1)\ln \left({\frac {x}{1-x}}\right)} 158:
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
831:{\displaystyle T={\frac {x_{p}-x_{f}}{x_{f}-x_{t}}}\cdot P} 747:{\displaystyle F={\frac {x_{p}-x_{t}}{x_{f}-x_{t}}}\cdot P} 941:
Bernstein, Jeremy (2009-06-13). "SWU for You and Me".
854:(LEU) in U content to 4.5%, at a tails assay of 0.3%. 761: 677: 654: 634: 614: 529: 491: 367: 337: 317: 290: 270: 243: 223: 188: 46:. Unsourced material may be challenged and removed. 830: 746: 660: 640: 620: 597: 508: 474: 350: 323: 303: 276: 256: 229: 209: 988: 946: 940: 106:Learn how and when to remove this message 861:plants typically require 2,400 to 2,500 132:SWU, kg SW, or kg UTA (from the German 989: 961: 121:– the amount of separation done by a 936: 934: 917:US Energy Information Administration 608:Given the desired amount of product 144:1 SWU = 1 kg SW = 1 kg UTA 44:adding citations to reliable sources 15: 968:World Scientific Publishing Company 13: 380: 377: 374: 210:{\displaystyle W_{\mathrm {SWU} }} 201: 198: 195: 173: 14: 1013: 931: 906:"Uranium Marketing Annual Report" 20: 509:{\displaystyle V\left(x\right)} 31:needs additional citations for 955: 898: 560: 545: 539: 533: 469: 456: 441: 428: 1: 892: 217:necessary to separate a mass 169: 358:is given by the expression: 7: 10: 1018: 841: 150:1 MSWU = 1 ktSW = 1 kt UTA 123:Uranium enrichment process 154:Separative work unit is 147:1 kSWU = 1 tSW = 1 t UTA 138:uranium separation work 55:"Separative work units" 832: 748: 662: 642: 622: 599: 510: 476: 352: 325: 305: 278: 258: 231: 211: 179: 833: 749: 663: 643: 628:, the necessary feed 623: 600: 511: 477: 353: 351:{\displaystyle x_{t}} 326: 306: 304:{\displaystyle x_{p}} 279: 259: 257:{\displaystyle x_{f}} 232: 212: 177: 130:Separative work units 852:Low-enriched uranium 759: 675: 652: 648:and resulting tails 632: 612: 527: 489: 365: 335: 315: 311:, and tails of mass 288: 268: 241: 221: 186: 40:improve this article 1002:Isotope separation 962:Fuchs, K. (1997). 828: 744: 658: 638: 618: 595: 506: 472: 348: 321: 301: 274: 254: 227: 207: 180: 865:(kW·h), or 8.6–9 859:gaseous diffusion 820: 736: 661:{\displaystyle T} 641:{\displaystyle F} 621:{\displaystyle P} 589: 324:{\displaystyle T} 284:of product assay 277:{\displaystyle P} 237:of feed of assay 230:{\displaystyle F} 116: 115: 108: 90: 1009: 982: 981: 959: 953: 952: 950: 938: 929: 928: 926: 924: 910: 902: 837: 835: 834: 829: 821: 819: 818: 817: 805: 804: 794: 793: 792: 780: 779: 769: 753: 751: 750: 745: 737: 735: 734: 733: 721: 720: 710: 709: 708: 696: 695: 685: 667: 665: 664: 659: 647: 645: 644: 639: 627: 625: 624: 619: 604: 602: 601: 596: 594: 590: 588: 574: 515: 513: 512: 507: 505: 481: 479: 478: 473: 468: 467: 440: 439: 415: 411: 410: 385: 384: 383: 357: 355: 354: 349: 347: 346: 330: 328: 327: 322: 310: 308: 307: 302: 300: 299: 283: 281: 280: 275: 263: 261: 260: 255: 253: 252: 236: 234: 233: 228: 216: 214: 213: 208: 206: 205: 204: 111: 104: 100: 97: 91: 89: 48: 24: 16: 1017: 1016: 1012: 1011: 1010: 1008: 1007: 1006: 987: 986: 985: 978: 970:. p. 303. 960: 956: 939: 932: 922: 920: 919:. June 13, 2023 909:(data for 2022) 908: 904: 903: 899: 895: 848:natural uranium 844: 813: 809: 800: 796: 795: 788: 784: 775: 771: 770: 768: 760: 757: 756: 729: 725: 716: 712: 711: 704: 700: 691: 687: 686: 684: 676: 673: 672: 653: 650: 649: 633: 630: 629: 613: 610: 609: 578: 573: 569: 528: 525: 524: 495: 490: 487: 486: 463: 459: 435: 431: 406: 402: 398: 373: 372: 368: 366: 363: 362: 342: 338: 336: 333: 332: 316: 313: 312: 295: 291: 289: 286: 285: 269: 266: 265: 248: 244: 242: 239: 238: 222: 219: 218: 194: 193: 189: 187: 184: 183: 172: 134:Urantrennarbeit 119:Separative work 112: 101: 95: 92: 49: 47: 37: 25: 12: 11: 5: 1015: 1005: 1004: 999: 984: 983: 976: 954: 930: 896: 894: 891: 863:kilowatt-hours 843: 840: 839: 838: 827: 824: 816: 812: 808: 803: 799: 791: 787: 783: 778: 774: 767: 764: 754: 743: 740: 732: 728: 724: 719: 715: 707: 703: 699: 694: 690: 683: 680: 657: 637: 617: 606: 605: 593: 587: 584: 581: 577: 572: 568: 565: 562: 559: 556: 553: 550: 547: 544: 541: 538: 535: 532: 520:, defined as: 518:value function 504: 501: 498: 494: 483: 482: 471: 466: 462: 458: 455: 452: 449: 446: 443: 438: 434: 430: 427: 424: 421: 418: 414: 409: 405: 401: 397: 394: 391: 388: 382: 379: 376: 371: 345: 341: 320: 298: 294: 273: 251: 247: 226: 203: 200: 197: 192: 171: 168: 152: 151: 148: 145: 114: 113: 28: 26: 19: 9: 6: 4: 3: 2: 1014: 1003: 1000: 998: 997:Nuclear fuels 995: 994: 992: 979: 977:9789814498883 973: 969: 965: 958: 949: 944: 937: 935: 918: 914: 907: 901: 897: 890: 888: 884: 880: 879:nuclear power 875: 874: 870: 868: 864: 860: 855: 853: 849: 825: 822: 814: 810: 806: 801: 797: 789: 785: 781: 776: 772: 765: 762: 755: 741: 738: 730: 726: 722: 717: 713: 705: 701: 697: 692: 688: 681: 678: 671: 670: 669: 655: 635: 615: 591: 585: 582: 579: 575: 570: 566: 563: 557: 554: 551: 548: 542: 536: 530: 523: 522: 521: 519: 502: 499: 496: 492: 464: 460: 453: 450: 447: 444: 436: 432: 425: 422: 419: 416: 412: 407: 403: 399: 395: 392: 389: 386: 369: 361: 360: 359: 343: 339: 318: 296: 292: 271: 249: 245: 224: 190: 176: 167: 165: 161: 157: 149: 146: 143: 142: 141: 139: 135: 131: 126: 124: 120: 110: 107: 99: 88: 85: 81: 78: 74: 71: 67: 64: 60: 57: –  56: 52: 51:Find sources: 45: 41: 35: 34: 29:This article 27: 23: 18: 17: 963: 957: 921:. Retrieved 912: 900: 876: 872: 871: 856: 845: 607: 484: 264:into a mass 181: 159: 155: 153: 137: 136:– literally 133: 129: 127: 118: 117: 102: 96:January 2022 93: 83: 76: 69: 62: 50: 38:Please help 33:verification 30: 991:Categories 893:References 867:gigajoules 331:and assay 170:Definition 164:Paul Dirac 66:newspapers 948:0906.2505 823:⋅ 807:− 782:− 739:⋅ 723:− 698:− 583:− 567:⁡ 555:− 451:⋅ 445:− 423:⋅ 393:⋅ 182:The work 166:in 1941. 923:2 August 877:A large 873:Example: 160:services 913:eia.gov 842:Example 516:is the 80:scholar 974:  485:where 82:  75:  68:  61:  53:  943:arXiv 668:are: 87:JSTOR 73:books 972:ISBN 925:2023 59:news 156:not 42:by 993:: 966:. 933:^ 915:. 911:. 564:ln 140:) 980:. 951:. 945:: 927:. 887:a 885:/ 883:t 826:P 815:t 811:x 802:f 798:x 790:f 786:x 777:p 773:x 766:= 763:T 742:P 731:t 727:x 718:f 714:x 706:t 702:x 693:p 689:x 682:= 679:F 656:T 636:F 616:P 592:) 586:x 580:1 576:x 571:( 561:) 558:1 552:x 549:2 546:( 543:= 540:) 537:x 534:( 531:V 503:) 500:x 497:( 493:V 470:) 465:f 461:x 457:( 454:V 448:F 442:) 437:t 433:x 429:( 426:V 420:T 417:+ 413:) 408:p 404:x 400:( 396:V 390:P 387:= 381:U 378:W 375:S 370:W 344:t 340:x 319:T 297:p 293:x 272:P 250:f 246:x 225:F 202:U 199:W 196:S 191:W 109:) 103:( 98:) 94:( 84:· 77:· 70:· 63:· 36:.

Index


verification
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"Separative work units"
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scholar
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
World Scientific Publishing Company

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