Knowledge (XXG)

Particle number

Source 📝

374:
per cubic metre). In the current EU emission norms for cars, vans, and trucks and in the upcoming EU emission norm for non-road mobile machinery, particle number measurements and limits are defined, commonly referred to as
197:, the particle number is the number of water molecules in the system. The meaning of constituent particles, and thereby of particle numbers, is thus temperature-dependent. 655: 270: 463: 132: 33: 410: 209:
considerations. In situations where the actual particle number of a given thermodynamical system needs to be determined, mainly in
128: 513: 367: 660: 400: 456: 431: 303: 578: 548: 307: 665: 331: 650: 533: 155:, as it is directly proportional to the size of the system under consideration and thus meaningful only for 51: 330:
processes, the total number of particles may not be preserved. The concept is therefore generalized to the
449: 144: 66: 339: 156: 116: 614: 553: 518: 379:, with units or . In this case, PN expresses a quantity of particles per unit distance (or work). 292: 219: 206: 140: 492: 327: 178: 152: 148: 136: 120: 86: 59: 624: 487: 406: 280: 239: 619: 604: 588: 609: 351: 298: 104: 644: 629: 543: 363: 583: 497: 194: 17: 563: 472: 228: 186: 74: 558: 371: 343: 335: 210: 573: 523: 214: 124: 46: 538: 79: 311: 190: 167: 366:
used in air quality standards is the atmospheric concentration of
166:
is one that cannot be broken into smaller pieces at the scale of
528: 441: 445: 217:
the particles. If the material is homogeneous and has a known
310:
obtained by dividing the particle number of a system by its
314:. This parameter is often denoted by the lower-case letter 213:, it is not practically possible to measure it directly by 189:). For example, in a thermodynamic system consisting of a 399:
Benenson, Walter; Harris, John; Stöcker, Horst (2002).
242: 205:
The concept of particle number plays a major role in
127:
in that system. The particle number is a fundamental
426:
Schumacher, Benjamin; Westmoreland, Michael (2010).
338:
that counts the number of constituent particles. In
597: 506: 480: 264: 457: 370:. This measure is usually expressed in μg/m ( 27:Number of particles in a thermodynamic system 8: 428:Quantum Processes, Systems, and Information 464: 450: 442: 29: 256: 241: 42: 656:Dimensionless numbers of thermodynamics 388: 394: 392: 7: 342:, the particle number operator (see 236:can be found by the relation : 346:) is conjugate to the phase of the 25: 201:Determining the particle number 173:involved in the process (where 1: 304:particle number concentration 143:, the particle number is a 682: 432:Cambridge University Press 293:intensive system parameter 579:Thermodynamic temperature 308:volumetric number density 306:PNC), a quantity of kind 332:particle number operator 265:{\displaystyle N=nN_{A}} 287:Particle number density 266: 232:, the particle number 145:dimensionless quantity 129:thermodynamic property 267: 661:Countable quantities 340:quantum field theory 322:In quantum mechanics 240: 164:constituent particle 117:thermodynamic system 554:Amount of substance 519:Molar concentration 507:Physical quantities 402:Handbook of Physics 220:amount of substance 141:physical quantities 34:Conjugate variables 18:Number of particles 514:Mass concentration 493:Boltzmann constant 368:particulate matter 328:quantum mechanical 262: 179:Boltzmann constant 153:extensive property 149:countable quantity 137:chemical potential 87:Chemical potential 638: 637: 488:Avogadro constant 281:Avogadro constant 147:, specifically a 101: 100: 97: 96: 36:of thermodynamics 16:(Redirected from 673: 620:Combined gas law 615:Gay-Lussac's law 466: 459: 452: 443: 436: 435: 423: 417: 416: 396: 271: 269: 268: 263: 261: 260: 184: 176: 172: 114: 43: 30: 21: 681: 680: 676: 675: 674: 672: 671: 670: 666:State functions 641: 640: 639: 634: 593: 589:Specific volume 569:Particle number 502: 476: 470: 440: 439: 425: 424: 420: 413: 398: 397: 390: 385: 362:One measure of 360: 334:, that is, the 324: 289: 277: 252: 238: 237: 203: 182: 174: 170: 123:of constituent 112: 109:particle number 92:Particle number 35: 28: 23: 22: 15: 12: 11: 5: 679: 677: 669: 668: 663: 658: 653: 651:Thermodynamics 643: 642: 636: 635: 633: 632: 627: 625:Avogadro's law 622: 617: 612: 607: 601: 599: 595: 594: 592: 591: 586: 581: 576: 571: 566: 561: 556: 551: 546: 541: 536: 531: 526: 521: 516: 510: 508: 504: 503: 501: 500: 495: 490: 484: 482: 478: 477: 471: 469: 468: 461: 454: 446: 438: 437: 418: 411: 387: 386: 384: 381: 359: 358:In air quality 356: 352:coherent state 323: 320: 299:number density 288: 285: 275: 259: 255: 251: 248: 245: 202: 199: 157:closed systems 139:. Unlike most 105:thermodynamics 99: 98: 95: 94: 89: 83: 82: 77: 71: 70: 63: 55: 54: 49: 39: 38: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 678: 667: 664: 662: 659: 657: 654: 652: 649: 648: 646: 631: 630:Ideal gas law 628: 626: 623: 621: 618: 616: 613: 611: 608: 606: 605:Charles's law 603: 602: 600: 596: 590: 587: 585: 582: 580: 577: 575: 572: 570: 567: 565: 562: 560: 557: 555: 552: 550: 549:Mass fraction 547: 545: 544:Mole fraction 542: 540: 537: 535: 532: 530: 527: 525: 522: 520: 517: 515: 512: 511: 509: 505: 499: 496: 494: 491: 489: 486: 485: 483: 479: 474: 467: 462: 460: 455: 453: 448: 447: 444: 433: 429: 422: 419: 414: 412:0-387-95269-1 408: 404: 403: 395: 393: 389: 382: 380: 378: 373: 369: 365: 364:air pollution 357: 355: 353: 349: 345: 341: 337: 333: 329: 321: 319: 317: 313: 309: 305: 301: 300: 294: 286: 284: 282: 278: 257: 253: 249: 246: 243: 235: 231: 230: 226:expressed in 225: 222: 221: 216: 212: 208: 200: 198: 196: 192: 188: 180: 169: 165: 160: 158: 154: 150: 146: 142: 138: 134: 130: 126: 122: 118: 110: 106: 93: 90: 88: 85: 84: 81: 78: 76: 73: 72: 68: 64: 61: 57: 56: 53: 50: 48: 45: 44: 41: 40: 37: 32: 31: 19: 584:Molar volume 568: 498:Gas constant 427: 421: 405:. Springer. 401: 376: 361: 347: 325: 315: 296: 290: 273: 233: 227: 223: 218: 204: 195:water vapour 163: 161: 108: 102: 91: 610:Boyle's law 564:Atomic mass 207:theoretical 193:containing 187:temperature 151:. It is an 75:Temperature 645:Categories 559:Molar mass 383:References 372:micrograms 350:wave (see 344:Fock state 336:observable 291:A related 481:Constants 348:classical 297:particle 211:chemistry 133:conjugate 131:which is 125:particles 574:Pressure 524:Molality 475:concepts 272:, where 215:counting 111:(symbol 47:Pressure 539:Density 295:is the 279:is the 185:is the 177:is the 135:to the 119:is the 115:) of a 80:Entropy 534:Volume 409:  312:volume 191:piston 168:energy 121:number 107:, the 67:Strain 60:Stress 52:Volume 229:moles 598:Laws 529:Mass 473:Mole 407:ISBN 302:(or 181:and 354:). 326:In 171:k·T 103:In 647:: 430:. 391:^ 377:PN 318:. 283:. 162:A 159:. 465:e 458:t 451:v 434:. 415:. 316:n 276:A 274:N 258:A 254:N 250:n 247:= 244:N 234:N 224:n 183:T 175:k 113:N 69:) 65:( 62:) 58:( 20:)

Index

Number of particles
Conjugate variables
of thermodynamics

Pressure
Volume
Stress
Strain
Temperature
Entropy
Chemical potential
Particle number
thermodynamics
thermodynamic system
number
particles
thermodynamic property
conjugate
chemical potential
physical quantities
dimensionless quantity
countable quantity
extensive property
closed systems
energy
Boltzmann constant
temperature
piston
water vapour
theoretical
chemistry
counting

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.