Knowledge

Molar concentration

Source 📝

2256: 1740:
The sum of molar concentrations gives the total molar concentration, namely the density of the mixture divided by the molar mass of the mixture or by another name the reciprocal of the molar volume of the mixture. In an ionic solution, ionic strength is proportional to the sum of the molar
2405: 346: 1408: 1725: 712:" (symbol M) has the same symbol. However, the prefix is never used alone, so "M" unambiguously denotes molar. Sub-multiples, such as "millimolar" (mM) and "nanomolar" (nM), consist of the unit preceded by an 1898: 1259: 1625: 1810: 1509: 149: 978: 1106: 1289: 485: 1008: 440: 1941: 1050: 1961: 1820:
The molar concentration depends on the variation of the volume of the solution due mainly to thermal expansion. On small intervals of temperature, the dependence is
1547: 1446: 1309: 1198: 1136: 922: 552:
If a molecule or salt dissociates in solution, the concentration refers to the original chemical formula in solution, the molar concentration is sometimes called
1160: 508: 413: 389: 369: 261: 1318:
A simpler relation can be obtained by considering the total molar concentration, namely, the sum of molar concentrations of all the components of the mixture:
269: 2961: 2343: 223:. Molarity is often depicted with square brackets around the substance of interest; for example, the molarity of the hydrogen ion is depicted as . 2067:
is approximately 1000 g/L and its molar mass is 18.02 g/mol (or 1/18.02 = 0.055 mol/g). Therefore, the molar concentration of water is
2047:
A typical task in chemistry is the preparation of 100 mL (= 0.1 L) of a 2 mol/L solution of NaCl in water. The mass of salt needed is
2330: 1324: 1639: 2663: 2277: 1826: 17: 2464: 2011:
The volume of such a solution is 104.3mL (volume is directly observable); its density is calculated to be 1.07 (111.6g/104.3mL)
1206: 1555: 1755: 2432: 1454: 2708: 2388: 2306: 113: 2656: 2247: 641: 2060:, dissolved in some water, then followed by the addition of more water until the total volume reaches 100 mL. 517:, the use of molar concentration is often not convenient because the volume of most solutions slightly depends on 2798: 2514: 1023: 930: 2174:, may have about 60 copies, and the volume of a bacterium is about 10 L. Thus, the number concentration 1964: 637: 243:
of solute per unit volume of solution, or per unit volume available to the species, represented by lowercase
2951: 1058: 2881: 2649: 2457: 2936: 106: 3027: 2828: 2579: 2549: 1419: 1267: 463: 2813: 2748: 986: 418: 2768: 2534: 2255: 1906: 3022: 2866: 2861: 2718: 2450: 1028: 2966: 2946: 1946: 2680: 2672: 1525: 1424: 1294: 1176: 1114: 900: 895: 236: 184: 8: 2763: 2615: 2554: 240: 188: 341:{\displaystyle c={\frac {n}{V}}={\frac {N}{N_{\text{A}}\,V}}={\frac {C}{N_{\text{A}}}}.} 2493: 2324: 1145: 493: 398: 374: 354: 246: 2437: 2971: 2930: 2833: 2625: 2488: 2384: 2312: 2302: 1011: 522: 443: 2353: 1744: 2906: 2901: 2733: 2693: 2620: 2605: 2360: 2348: 2170: 2130: 2057: 176: 215:
in SI units. A solution with a concentration of 1 mol/L is said to be 1 
2891: 2876: 2808: 2773: 2758: 2753: 2738: 2703: 2589: 2569: 541: 392: 537: 231:
Molar concentration or molarity is most commonly expressed in units of moles of
2941: 2896: 2886: 2803: 2698: 2688: 2610: 2097: 514: 488: 3016: 2986: 2823: 2783: 2728: 2630: 2544: 2352:, 2nd ed. (the "Gold Book") (1997). Online corrected version: (2006–) " 2316: 1171: 172: 2364: 2843: 2838: 2584: 2498: 2996: 2911: 2564: 2473: 1403:{\displaystyle x_{i}={\frac {c_{i}}{c}}={\frac {c_{i}}{\sum _{j}c_{j}}}.} 693: 685: 677: 661: 653: 645: 529:, or by using a temperature-independent measure of concentration such as 526: 525:. This problem is usually resolved by introducing temperature correction 518: 208: 200: 540:
quantity represents the dilution (volume) which can appear in Ostwald's
2991: 2981: 2976: 2853: 2559: 2438:
Experiment to determine the molar concentration of vinegar by titration
2041: 1720:{\displaystyle b_{i}={\frac {c_{i}}{\rho -\sum _{j\neq i}c_{j}M_{j}}}.} 1139: 1735: 3001: 2956: 2871: 2641: 2165: 713: 705: 689: 657: 212: 196: 2818: 2574: 2524: 2272: 1520: 530: 35: 31: 1981:
is dissolved in 100 g of water. The final mass concentration
2921: 2723: 2713: 2539: 1745:
Sum of products of molar concentrations and partial molar volumes
1630:
where the solvent is substance 1, and the solute is substance 2.
1312: 62: 2442: 1893:{\displaystyle c_{i}={\frac {c_{i,T_{0}}}{1+\alpha \Delta T}},} 628:) = 1 mol/L because the salt dissociates into these ions. 232: 192: 180: 2743: 2064: 2014:
The molar concentration of NaCl in the solution is therefore
709: 697: 681: 665: 649: 204: 199:, the most commonly used unit for molarity is the number of 2529: 1978: 1633:
For solutions with more than one solute, the conversion is
1254:{\displaystyle x_{i}=c_{i}{\frac {\overline {M}}{\rho }},} 1749:
The sum of products between these quantities equals one:
2056:
To create the solution, 11.6 g NaCl is placed in a
1620:{\displaystyle b_{2}={\frac {c_{2}}{\rho -c_{1}M_{1}}},} 547: 1943:
is the molar concentration at a reference temperature,
652:. However, most chemical literature traditionally uses 1949: 1909: 1829: 1758: 1642: 1558: 1528: 1457: 1427: 1327: 1297: 1270: 1209: 1179: 1148: 1117: 1061: 1031: 989: 933: 903: 496: 466: 421: 401: 377: 357: 272: 249: 116: 2962:
List of boiling and freezing information of solvents
1805:{\displaystyle \sum _{i}c_{i}{\overline {V_{i}}}=1.} 239:. For use in broader applications, it is defined as 1736:
Sum of molar concentrations – normalizing relations
30:"Molarity" redirects here. Not to be confused with 1955: 1935: 1892: 1804: 1719: 1619: 1541: 1504:{\displaystyle w_{i}=c_{i}{\frac {M_{i}}{\rho }}.} 1503: 1440: 1402: 1303: 1283: 1253: 1192: 1154: 1130: 1100: 1044: 1002: 972: 916: 502: 479: 434: 407: 383: 363: 340: 255: 143: 3014: 578:). For example, if a sodium carbonate solution ( 2296: 604:) = 1 mol/L, the molar concentrations are 144:{\displaystyle {\mathsf {L}}^{-3}{\mathsf {N}}} 2378: 2657: 2458: 2053:(NaCl) = 2 mol/L × 0.1 L × 58 g/mol = 11.6 g. 219:, commonly designated as 1 M or 1  1291:is the average molar mass of the solution, 2664: 2650: 2465: 2451: 2397: 2329:: CS1 maint: location missing publisher ( 672:and denoted by the letter M, for example: 668:. This traditional unit is often called a 2374: 2372: 2278:Orders of magnitude (molar concentration) 2037:/ 104.3 mL = 0.00192 mol/mL = 1.92 mol/L. 308: 973:{\displaystyle C_{i}=c_{i}N_{\text{A}},} 700:= 10 M = 1 mM = 1 mmol/L. 2433:Molar Solution Concentration Calculator 2337: 2301:(Fifth ed.). Boston. p. 457. 1815: 1519:For binary mixtures, the conversion to 889: 14: 3015: 2671: 2403: 2369: 371:is the amount of the solute in moles, 136: 120: 27:Measure of concentration of a chemical 2645: 2446: 1101:{\displaystyle \rho _{i}=c_{i}M_{i},} 1017: 884: 548:Formality or analytical concentration 2133:(molar mass = 254.23 g/mol) is 24: 2349:Compendium of Chemical Terminology 2297:Tro, Nivaldo J. (6 January 2014). 2100:(molar mass = 2.02 g/mol) is 1878: 207:, having the unit symbol mol/L or 25: 3039: 2472: 2426: 2299:Introductory chemistry essentials 2250:, sorted by molar concentration: 415:(in litres) of the solution, and 2254: 2248:Reference ranges for blood tests 1413: 1165: 589:) has a formal concentration of 446:, since 2019 defined as exactly 2096:Likewise, the concentration of 1284:{\displaystyle {\overline {M}}} 2290: 480:{\displaystyle {\frac {N}{V}}} 13: 1: 2283: 1965:thermal expansion coefficient 1730: 638:International System of Units 226: 2952:Inorganic nonaqueous solvent 2404:Harvey, David (2020-06-15). 2381:Principles of thermodynamics 1791: 1276: 1239: 1003:{\displaystyle N_{\text{A}}} 435:{\displaystyle N_{\text{A}}} 7: 2266: 2189:The molar concentration is 2040:Here, 58 g/mol is the 1970: 1936:{\displaystyle c_{i,T_{0}}} 1514: 718: 644:for molar concentration is 10: 3044: 2937:Acid dissociation constant 2383:. CRC Press. p. 213. 2129:The concentration of pure 2007:= 0.104 g/g = 10.4 %. 29: 2920: 2852: 2782: 2679: 2598: 2580:Thermodynamic temperature 2507: 2481: 1045:{\displaystyle \rho _{i}} 727: 724: 721: 105: 81: 71: 61: 48: 43: 2242:= 10 mol/L = 100 nmol/L. 1741:concentration of salts. 631: 569:analytical concentration 18:Analytical concentration 2902:Solubility table (data) 2769:Apparent molar property 2379:Kaufman, Myron (2002). 2365:10.1351/goldbook.A00295 1956:{\displaystyle \alpha } 847:(6 particles per 10 L) 660:, which is the same as 169:substance concentration 2867:Total dissolved solids 2862:Solubility equilibrium 2787:and related quantities 2354:amount concentration, 1957: 1937: 1894: 1806: 1721: 1621: 1543: 1505: 1442: 1404: 1305: 1285: 1255: 1194: 1156: 1132: 1102: 1046: 1004: 974: 918: 504: 481: 436: 409: 385: 365: 342: 257: 179:, in particular, of a 171:) is a measure of the 145: 2967:Partition coefficient 2947:Polar aprotic solvent 2164:A typical protein in 1958: 1938: 1895: 1807: 1722: 1622: 1544: 1542:{\displaystyle b_{2}} 1506: 1443: 1441:{\displaystyle w_{i}} 1405: 1306: 1304:{\displaystyle \rho } 1286: 1256: 1195: 1193:{\displaystyle x_{i}} 1157: 1133: 1131:{\displaystyle M_{i}} 1103: 1047: 1005: 975: 919: 917:{\displaystyle C_{i}} 612:) = 2 mol/L and 505: 482: 437: 410: 393:constituent particles 386: 366: 343: 258: 146: 2882:Enthalpy of solution 2809:Volume concentration 2804:Number concentration 2410:Chemistry LibreTexts 2406:"2.2: Concentration" 1947: 1907: 1827: 1816:Dependence on volume 1756: 1640: 1556: 1526: 1455: 1425: 1325: 1295: 1268: 1207: 1177: 1146: 1115: 1059: 1029: 987: 931: 901: 896:number concentration 890:Number concentration 554:formal concentration 494: 464: 419: 399: 375: 355: 270: 247: 165:amount concentration 114: 2794:Molar concentration 2764:Dilution (equation) 2555:Amount of substance 2520:Molar concentration 2508:Physical quantities 241:amount of substance 189:amount of substance 157:Molar concentration 44:Molar concentration 2834:Isotopic abundance 2799:Mass concentration 2673:Chemical solutions 2515:Mass concentration 2494:Boltzmann constant 1953: 1933: 1890: 1802: 1768: 1717: 1690: 1617: 1539: 1501: 1438: 1418:The conversion to 1400: 1383: 1301: 1281: 1251: 1190: 1170:The conversion to 1152: 1128: 1098: 1042: 1024:mass concentration 1022:The conversion to 1018:Mass concentration 1000: 970: 914: 894:The conversion to 885:Related quantities 500: 477: 432: 405: 395:present in volume 381: 361: 338: 253: 141: 3010: 3009: 2639: 2638: 2489:Avogadro constant 2183:= 60 / (10 L) = 6 1885: 1794: 1759: 1712: 1675: 1612: 1496: 1395: 1374: 1356: 1315:of the solution. 1279: 1246: 1242: 1155:{\displaystyle i} 1012:Avogadro constant 997: 964: 882: 881: 523:thermal expansion 503:{\displaystyle C} 475: 444:Avogadro constant 429: 408:{\displaystyle V} 391:is the number of 384:{\displaystyle N} 364:{\displaystyle n} 333: 330: 313: 305: 287: 256:{\displaystyle c} 154: 153: 16:(Redirected from 3035: 3028:Molar quantities 2907:Solubility chart 2734:Phase separation 2694:Aqueous solution 2666: 2659: 2652: 2643: 2642: 2621:Combined gas law 2616:Gay-Lussac's law 2467: 2460: 2453: 2444: 2443: 2420: 2419: 2417: 2416: 2401: 2395: 2394: 2376: 2367: 2341: 2335: 2334: 2328: 2320: 2294: 2258: 2241: 2239: 2238: 2236: 2231: 2228: 2226: 2217: 2215: 2214: 2206: 2203: 2186: 2158: 2156: 2155: 2152: 2149: 2131:osmium tetroxide 2125: 2123: 2122: 2119: 2116: 2092: 2090: 2089: 2086: 2083: 2058:volumetric flask 2036: 2034: 2033: 2030: 2027: 2006: 2004: 2003: 2000: 1997: 1967:of the mixture. 1962: 1960: 1959: 1954: 1942: 1940: 1939: 1934: 1932: 1931: 1930: 1929: 1899: 1897: 1896: 1891: 1886: 1884: 1867: 1866: 1865: 1864: 1844: 1839: 1838: 1811: 1809: 1808: 1803: 1795: 1790: 1789: 1780: 1778: 1777: 1767: 1726: 1724: 1723: 1718: 1713: 1711: 1710: 1709: 1700: 1699: 1689: 1667: 1666: 1657: 1652: 1651: 1626: 1624: 1623: 1618: 1613: 1611: 1610: 1609: 1600: 1599: 1583: 1582: 1573: 1568: 1567: 1548: 1546: 1545: 1540: 1538: 1537: 1510: 1508: 1507: 1502: 1497: 1492: 1491: 1482: 1480: 1479: 1467: 1466: 1447: 1445: 1444: 1439: 1437: 1436: 1409: 1407: 1406: 1401: 1396: 1394: 1393: 1392: 1382: 1372: 1371: 1362: 1357: 1352: 1351: 1342: 1337: 1336: 1310: 1308: 1307: 1302: 1290: 1288: 1287: 1282: 1280: 1272: 1260: 1258: 1257: 1252: 1247: 1235: 1234: 1232: 1231: 1219: 1218: 1199: 1197: 1196: 1191: 1189: 1188: 1161: 1159: 1158: 1153: 1137: 1135: 1134: 1129: 1127: 1126: 1107: 1105: 1104: 1099: 1094: 1093: 1084: 1083: 1071: 1070: 1051: 1049: 1048: 1043: 1041: 1040: 1009: 1007: 1006: 1001: 999: 998: 995: 979: 977: 976: 971: 966: 965: 962: 956: 955: 943: 942: 923: 921: 920: 915: 913: 912: 719: 627: 626: 625: 622: 611: 603: 588: 509: 507: 506: 501: 486: 484: 483: 478: 476: 468: 459: 457: 454: 451: 441: 439: 438: 433: 431: 430: 427: 414: 412: 411: 406: 390: 388: 387: 382: 370: 368: 367: 362: 347: 345: 344: 339: 334: 332: 331: 328: 319: 314: 312: 307: 306: 303: 293: 288: 280: 262: 260: 259: 254: 195:of solution. In 177:chemical species 150: 148: 147: 142: 140: 139: 133: 132: 124: 123: 101: 85:other quantities 83:Derivations from 56: 41: 40: 21: 3043: 3042: 3038: 3037: 3036: 3034: 3033: 3032: 3013: 3012: 3011: 3006: 2916: 2877:Solvation shell 2848: 2786: 2778: 2774:Miscibility gap 2759:Serial dilution 2754:Supersaturation 2704:Buffer solution 2675: 2670: 2640: 2635: 2594: 2590:Specific volume 2570:Particle number 2503: 2477: 2471: 2429: 2424: 2423: 2414: 2412: 2402: 2398: 2391: 2377: 2370: 2342: 2338: 2322: 2321: 2309: 2295: 2291: 2286: 2269: 2264: 2261: 2260: 2259: 2234: 2232: 2229: 2224: 2222: 2221: 2219: 2213: 2207: 2204: 2199: 2198: 2196: 2184: 2153: 2150: 2147: 2146: 2144: 2142: 2120: 2117: 2114: 2113: 2111: 2109: 2087: 2084: 2081: 2080: 2078: 2076: 2063:The density of 2031: 2028: 2025: 2024: 2022: 2001: 1998: 1995: 1994: 1992: 1977:11.6 g of 1973: 1948: 1945: 1944: 1925: 1921: 1914: 1910: 1908: 1905: 1904: 1868: 1860: 1856: 1849: 1845: 1843: 1834: 1830: 1828: 1825: 1824: 1818: 1785: 1781: 1779: 1773: 1769: 1763: 1757: 1754: 1753: 1747: 1738: 1733: 1705: 1701: 1695: 1691: 1679: 1668: 1662: 1658: 1656: 1647: 1643: 1641: 1638: 1637: 1605: 1601: 1595: 1591: 1584: 1578: 1574: 1572: 1563: 1559: 1557: 1554: 1553: 1533: 1529: 1527: 1524: 1523: 1517: 1487: 1483: 1481: 1475: 1471: 1462: 1458: 1456: 1453: 1452: 1432: 1428: 1426: 1423: 1422: 1416: 1388: 1384: 1378: 1373: 1367: 1363: 1361: 1347: 1343: 1341: 1332: 1328: 1326: 1323: 1322: 1296: 1293: 1292: 1271: 1269: 1266: 1265: 1233: 1227: 1223: 1214: 1210: 1208: 1205: 1204: 1184: 1180: 1178: 1175: 1174: 1168: 1147: 1144: 1143: 1142:of constituent 1122: 1118: 1116: 1113: 1112: 1089: 1085: 1079: 1075: 1066: 1062: 1060: 1057: 1056: 1036: 1032: 1030: 1027: 1026: 1020: 994: 990: 988: 985: 984: 961: 957: 951: 947: 938: 934: 932: 929: 928: 908: 904: 902: 899: 898: 892: 887: 846: 634: 623: 620: 619: 617: 609: 602: 598: 594: 587: 583: 579: 577: 566: 550: 542:law of dilution 495: 492: 491: 467: 465: 462: 461: 455: 452: 449: 447: 426: 422: 420: 417: 416: 400: 397: 396: 376: 373: 372: 356: 353: 352: 327: 323: 318: 302: 298: 297: 292: 279: 271: 268: 267: 248: 245: 244: 229: 135: 134: 125: 119: 118: 117: 115: 112: 111: 89: 86: 84: 74: 54: 51: 39: 28: 23: 22: 15: 12: 11: 5: 3041: 3031: 3030: 3025: 3008: 3007: 3005: 3004: 2999: 2994: 2989: 2984: 2979: 2974: 2969: 2964: 2959: 2954: 2949: 2944: 2942:Protic solvent 2939: 2934: 2926: 2924: 2918: 2917: 2915: 2914: 2909: 2904: 2899: 2894: 2889: 2887:Lattice energy 2884: 2879: 2874: 2869: 2864: 2858: 2856: 2850: 2849: 2847: 2846: 2841: 2836: 2831: 2826: 2821: 2816: 2811: 2806: 2801: 2796: 2790: 2788: 2780: 2779: 2777: 2776: 2771: 2766: 2761: 2756: 2751: 2746: 2741: 2739:Eutectic point 2736: 2731: 2726: 2721: 2716: 2711: 2706: 2701: 2699:Solid solution 2696: 2691: 2689:Ideal solution 2685: 2683: 2677: 2676: 2669: 2668: 2661: 2654: 2646: 2637: 2636: 2634: 2633: 2628: 2626:Avogadro's law 2623: 2618: 2613: 2608: 2602: 2600: 2596: 2595: 2593: 2592: 2587: 2582: 2577: 2572: 2567: 2562: 2557: 2552: 2547: 2542: 2537: 2532: 2527: 2522: 2517: 2511: 2509: 2505: 2504: 2502: 2501: 2496: 2491: 2485: 2483: 2479: 2478: 2470: 2469: 2462: 2455: 2447: 2441: 2440: 2435: 2428: 2427:External links 2425: 2422: 2421: 2396: 2389: 2368: 2336: 2307: 2288: 2287: 2285: 2282: 2281: 2280: 2275: 2268: 2265: 2263: 2262: 2253: 2252: 2251: 2245: 2244: 2243: 2211: 2188: 2162: 2161: 2160: 2140: 2128: 2127: 2107: 2098:solid hydrogen 2095: 2094: 2074: 2061: 2055: 2054: 2045: 2039: 2038: 2009: 2008: 2002:11.6 g + 100 g 1974: 1972: 1969: 1952: 1928: 1924: 1920: 1917: 1913: 1901: 1900: 1889: 1883: 1880: 1877: 1874: 1871: 1863: 1859: 1855: 1852: 1848: 1842: 1837: 1833: 1817: 1814: 1813: 1812: 1801: 1798: 1793: 1788: 1784: 1776: 1772: 1766: 1762: 1746: 1743: 1737: 1734: 1732: 1729: 1728: 1727: 1716: 1708: 1704: 1698: 1694: 1688: 1685: 1682: 1678: 1674: 1671: 1665: 1661: 1655: 1650: 1646: 1628: 1627: 1616: 1608: 1604: 1598: 1594: 1590: 1587: 1581: 1577: 1571: 1566: 1562: 1536: 1532: 1516: 1513: 1512: 1511: 1500: 1495: 1490: 1486: 1478: 1474: 1470: 1465: 1461: 1435: 1431: 1415: 1412: 1411: 1410: 1399: 1391: 1387: 1381: 1377: 1370: 1366: 1360: 1355: 1350: 1346: 1340: 1335: 1331: 1300: 1278: 1275: 1262: 1261: 1250: 1245: 1241: 1238: 1230: 1226: 1222: 1217: 1213: 1187: 1183: 1167: 1164: 1151: 1125: 1121: 1109: 1108: 1097: 1092: 1088: 1082: 1078: 1074: 1069: 1065: 1039: 1035: 1019: 1016: 993: 981: 980: 969: 960: 954: 950: 946: 941: 937: 911: 907: 891: 888: 886: 883: 880: 879: 876: 873: 870: 866: 865: 862: 859: 856: 852: 851: 848: 843: 840: 836: 835: 832: 829: 826: 822: 821: 818: 815: 812: 808: 807: 804: 801: 798: 794: 793: 790: 787: 784: 780: 779: 776: 773: 770: 766: 765: 762: 759: 756: 752: 751: 748: 745: 742: 738: 737: 734: 730: 729: 728:Concentration 726: 723: 702: 701: 633: 630: 600: 596: 585: 581: 575: 564: 549: 546: 515:thermodynamics 499: 489:number density 474: 471: 425: 404: 380: 360: 349: 348: 337: 326: 322: 317: 311: 301: 296: 291: 286: 283: 278: 275: 252: 228: 225: 187:, in terms of 152: 151: 138: 131: 128: 122: 109: 103: 102: 87: 82: 79: 78: 75: 72: 69: 68: 65: 59: 58: 52: 50:Common symbols 49: 46: 45: 26: 9: 6: 4: 3: 2: 3040: 3029: 3026: 3024: 3023:Concentration 3021: 3020: 3018: 3003: 3000: 2998: 2995: 2993: 2990: 2988: 2985: 2983: 2980: 2978: 2975: 2973: 2970: 2968: 2965: 2963: 2960: 2958: 2955: 2953: 2950: 2948: 2945: 2943: 2940: 2938: 2935: 2932: 2928: 2927: 2925: 2923: 2919: 2913: 2910: 2908: 2905: 2903: 2900: 2898: 2895: 2893: 2890: 2888: 2885: 2883: 2880: 2878: 2875: 2873: 2870: 2868: 2865: 2863: 2860: 2859: 2857: 2855: 2851: 2845: 2842: 2840: 2837: 2835: 2832: 2830: 2829:Mass fraction 2827: 2825: 2824:Mole fraction 2822: 2820: 2817: 2815: 2812: 2810: 2807: 2805: 2802: 2800: 2797: 2795: 2792: 2791: 2789: 2785: 2784:Concentration 2781: 2775: 2772: 2770: 2767: 2765: 2762: 2760: 2757: 2755: 2752: 2750: 2747: 2745: 2742: 2740: 2737: 2735: 2732: 2730: 2729:Phase diagram 2727: 2725: 2722: 2720: 2717: 2715: 2712: 2710: 2709:Flory–Huggins 2707: 2705: 2702: 2700: 2697: 2695: 2692: 2690: 2687: 2686: 2684: 2682: 2678: 2674: 2667: 2662: 2660: 2655: 2653: 2648: 2647: 2644: 2632: 2631:Ideal gas law 2629: 2627: 2624: 2622: 2619: 2617: 2614: 2612: 2609: 2607: 2606:Charles's law 2604: 2603: 2601: 2597: 2591: 2588: 2586: 2583: 2581: 2578: 2576: 2573: 2571: 2568: 2566: 2563: 2561: 2558: 2556: 2553: 2551: 2550:Mass fraction 2548: 2546: 2545:Mole fraction 2543: 2541: 2538: 2536: 2533: 2531: 2528: 2526: 2523: 2521: 2518: 2516: 2513: 2512: 2510: 2506: 2500: 2497: 2495: 2492: 2490: 2487: 2486: 2484: 2480: 2475: 2468: 2463: 2461: 2456: 2454: 2449: 2448: 2445: 2439: 2436: 2434: 2431: 2430: 2411: 2407: 2400: 2392: 2390:0-8247-0692-7 2386: 2382: 2375: 2373: 2366: 2362: 2358: 2357: 2351: 2350: 2345: 2340: 2332: 2326: 2318: 2314: 2310: 2308:9780321919052 2304: 2300: 2293: 2289: 2279: 2276: 2274: 2271: 2270: 2257: 2249: 2246: 2210: 2202: 2194: 2191: 2190: 2182: 2179: 2177: 2173: 2172: 2167: 2163: 2159:= 20.1 mol/L. 2138: 2135: 2134: 2132: 2126:= 43.7 mol/L. 2105: 2102: 2101: 2099: 2093:≈ 55.5 mol/L. 2072: 2069: 2068: 2066: 2062: 2059: 2052: 2049: 2048: 2046: 2043: 2020: 2017: 2016: 2015: 2012: 1990: 1987: 1986: 1984: 1980: 1976: 1975: 1968: 1966: 1950: 1926: 1922: 1918: 1915: 1911: 1887: 1881: 1875: 1872: 1869: 1861: 1857: 1853: 1850: 1846: 1840: 1835: 1831: 1823: 1822: 1821: 1799: 1796: 1786: 1782: 1774: 1770: 1764: 1760: 1752: 1751: 1750: 1742: 1714: 1706: 1702: 1696: 1692: 1686: 1683: 1680: 1676: 1672: 1669: 1663: 1659: 1653: 1648: 1644: 1636: 1635: 1634: 1631: 1614: 1606: 1602: 1596: 1592: 1588: 1585: 1579: 1575: 1569: 1564: 1560: 1552: 1551: 1550: 1534: 1530: 1522: 1498: 1493: 1488: 1484: 1476: 1472: 1468: 1463: 1459: 1451: 1450: 1449: 1433: 1429: 1421: 1420:mass fraction 1414:Mass fraction 1397: 1389: 1385: 1379: 1375: 1368: 1364: 1358: 1353: 1348: 1344: 1338: 1333: 1329: 1321: 1320: 1319: 1316: 1314: 1298: 1273: 1248: 1243: 1236: 1228: 1224: 1220: 1215: 1211: 1203: 1202: 1201: 1185: 1181: 1173: 1172:mole fraction 1166:Mole fraction 1163: 1149: 1141: 1123: 1119: 1095: 1090: 1086: 1080: 1076: 1072: 1067: 1063: 1055: 1054: 1053: 1037: 1033: 1025: 1015: 1013: 991: 967: 958: 952: 948: 944: 939: 935: 927: 926: 925: 909: 905: 897: 877: 874: 871: 868: 867: 863: 860: 857: 854: 853: 849: 844: 841: 838: 837: 833: 830: 827: 824: 823: 819: 816: 813: 810: 809: 805: 802: 799: 796: 795: 791: 788: 785: 782: 781: 777: 774: 771: 768: 767: 763: 760: 757: 754: 753: 749: 746: 743: 740: 739: 735: 732: 731: 725:Abbreviation 720: 717: 715: 711: 707: 699: 695: 691: 687: 683: 679: 675: 674: 673: 671: 667: 663: 659: 655: 651: 647: 643: 642:coherent unit 639: 629: 615: 607: 592: 574: 570: 563: 559: 555: 545: 543: 539: 534: 532: 528: 524: 520: 516: 511: 497: 490: 472: 469: 445: 423: 402: 394: 378: 358: 335: 324: 320: 315: 309: 299: 294: 289: 284: 281: 276: 273: 266: 265: 264: 250: 242: 238: 235:per litre of 234: 224: 222: 218: 214: 210: 206: 202: 198: 194: 190: 186: 182: 178: 174: 173:concentration 170: 166: 162: 159:(also called 158: 129: 126: 110: 108: 104: 100: 96: 92: 88: 80: 76: 70: 66: 64: 60: 53: 47: 42: 37: 33: 19: 2892:Raoult's law 2844:Ternary plot 2839:Mixing ratio 2793: 2585:Molar volume 2519: 2499:Gas constant 2413:. Retrieved 2409: 2399: 2380: 2355: 2347: 2339: 2298: 2292: 2208: 2200: 2192: 2180: 2175: 2169: 2154:254.23 g/mol 2136: 2103: 2070: 2050: 2018: 2013: 2010: 1988: 1982: 1902: 1819: 1748: 1739: 1632: 1629: 1518: 1448:is given by 1417: 1317: 1263: 1200:is given by 1169: 1110: 1052:is given by 1021: 982: 924:is given by 893: 869:quectomolar 703: 669: 635: 613: 605: 590: 572: 568: 561: 557: 553: 551: 535: 512: 460:. The ratio 350: 230: 220: 216: 168: 164: 160: 156: 155: 98: 94: 90: 63:SI unit 2997:Lyonium ion 2912:Miscibility 2897:Henry's law 2611:Boyle's law 2565:Atomic mass 2088:18.02 g/mol 855:rontomolar 839:yoctomolar 825:zeptomolar 797:femtomolar 755:micromolar 741:millimolar 519:temperature 458:10 mol 73:Other units 3017:Categories 2992:Amphiphile 2987:Lipophilic 2982:Hydrophile 2977:Hydrophobe 2854:Solubility 2749:Saturation 2719:Suspension 2560:Molar mass 2415:2021-12-15 2284:References 2168:, such as 2121:2.02 g/mol 2042:molar mass 1985:(NaCl) is 1731:Properties 1140:molar mass 811:attomolar 783:picomolar 769:nanomolar 640:(SI), the 538:reciprocal 227:Definition 3002:Lyate ion 2957:Solvation 2872:Solvation 2814:Normality 2482:Constants 2325:cite book 2317:857356651 2021:(NaCl) = 1991:(NaCl) = 1951:α 1879:Δ 1876:α 1792:¯ 1761:∑ 1684:≠ 1677:∑ 1673:− 1670:ρ 1589:− 1586:ρ 1494:ρ 1376:∑ 1299:ρ 1277:¯ 1244:ρ 1240:¯ 1064:ρ 1034:ρ 714:SI prefix 706:SI prefix 558:formality 197:chemistry 191:per unit 127:− 107:Dimension 2972:Polarity 2931:Category 2819:Molality 2681:Solution 2575:Pressure 2525:Molality 2476:concepts 2273:Molality 2267:See also 2166:bacteria 2148:5.1 kg/L 2082:1000 g/L 2044:of NaCl. 2032:58 g/mol 1971:Examples 1521:molality 1515:Molality 736:(mol/m) 733:(mol/L) 531:molality 237:solution 185:solution 161:molarity 36:Morality 32:Molality 2922:Solvent 2724:Colloid 2714:Mixture 2540:Density 2240:⁠ 2220:⁠ 2216:⁠ 2197:⁠ 2171:E. coli 2157:⁠ 2145:⁠ 2124:⁠ 2112:⁠ 2091:⁠ 2079:⁠ 2035:⁠ 2023:⁠ 2005:⁠ 1993:⁠ 1963:is the 1313:density 1311:is the 1138:is the 1010:is the 636:In the 527:factors 521:due to 487:is the 442:is the 2535:Volume 2387:  2315:  2305:  2237:10 mol 2115:88 g/L 2026:11.6 g 1996:11.6 g 1903:where 1264:where 1111:where 983:where 351:Here, 233:solute 193:volume 181:solute 2744:Alloy 2344:IUPAC 2187:10 L. 2077:O) = 2065:water 750:10=1 722:Name 692:= 10 684:= 10 670:molar 632:Units 567:) or 448:6.022 217:molar 205:liter 201:moles 183:in a 175:of a 77:mol/L 67:mol/m 2599:Laws 2530:Mass 2474:Mole 2385:ISBN 2331:link 2313:OCLC 2303:ISBN 2227:10 L 2143:) = 2139:(OsO 2110:) = 1979:NaCl 710:mega 704:The 536:The 203:per 2361:doi 2359:". 2178:is 1549:is 878:10 875:10 872:qM 864:10 861:10 858:rM 850:10 842:yM 834:10 831:10 828:zM 820:10 817:10 814:aM 806:10 803:10 800:fM 792:10 789:10 786:pM 778:10 775:10 772:nM 764:10 761:10 758:μM 747:10 744:mM 694:mol 686:mol 678:mol 662:mol 654:mol 646:mol 556:or 513:In 450:140 209:mol 167:or 34:or 3019:: 2408:. 2371:^ 2346:, 2327:}} 2323:{{ 2311:. 2218:= 2195:= 2106:(H 2073:(H 1800:1. 1162:. 1014:. 845:10 716:: 690:dm 676:1 658:dm 621:2− 618:CO 610:Na 599:CO 595:Na 584:CO 580:Na 544:. 533:. 510:. 453:76 263:: 213:dm 163:, 93:= 57:, 2933:) 2929:( 2665:e 2658:t 2651:v 2466:e 2459:t 2452:v 2418:. 2393:. 2363:: 2356:c 2333:) 2319:. 2235:× 2233:6 2230:/ 2225:× 2223:6 2212:A 2209:N 2205:/ 2201:C 2193:c 2185:× 2181:C 2176:C 2151:/ 2141:4 2137:c 2118:/ 2108:2 2104:c 2085:/ 2075:2 2071:c 2051:m 2029:/ 2019:c 1999:/ 1989:ρ 1983:ρ 1927:0 1923:T 1919:, 1916:i 1912:c 1888:, 1882:T 1873:+ 1870:1 1862:0 1858:T 1854:, 1851:i 1847:c 1841:= 1836:i 1832:c 1797:= 1787:i 1783:V 1775:i 1771:c 1765:i 1715:. 1707:j 1703:M 1697:j 1693:c 1687:i 1681:j 1664:i 1660:c 1654:= 1649:i 1645:b 1615:, 1607:1 1603:M 1597:1 1593:c 1580:2 1576:c 1570:= 1565:2 1561:b 1535:2 1531:b 1499:. 1489:i 1485:M 1477:i 1473:c 1469:= 1464:i 1460:w 1434:i 1430:w 1398:. 1390:j 1386:c 1380:j 1369:i 1365:c 1359:= 1354:c 1349:i 1345:c 1339:= 1334:i 1330:x 1274:M 1249:, 1237:M 1229:i 1225:c 1221:= 1216:i 1212:x 1186:i 1182:x 1150:i 1124:i 1120:M 1096:, 1091:i 1087:M 1081:i 1077:c 1073:= 1068:i 1038:i 996:A 992:N 968:, 963:A 959:N 953:i 949:c 945:= 940:i 936:C 910:i 906:C 708:" 698:L 696:/ 688:/ 682:m 680:/ 666:L 664:/ 656:/ 650:m 648:/ 624:3 616:( 614:c 608:( 606:c 601:3 597:2 593:( 591:c 586:3 582:2 576:A 573:c 571:( 565:A 562:F 560:( 498:C 473:V 470:N 456:× 428:A 424:N 403:V 379:N 359:n 336:. 329:A 325:N 321:C 316:= 310:V 304:A 300:N 295:N 290:= 285:V 282:n 277:= 274:c 251:c 221:M 211:/ 137:N 130:3 121:L 99:V 97:/ 95:n 91:c 55:c 38:. 20:)

Index

Analytical concentration
Molality
Morality
SI unit
Dimension
concentration
chemical species
solute
solution
amount of substance
volume
chemistry
moles
liter
mol
dm
solute
solution
amount of substance
constituent particles
Avogadro constant
number density
thermodynamics
temperature
thermal expansion
factors
molality
reciprocal
law of dilution
International System of Units

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