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Table 3 Ultrasonic velocity (C),excess acoustic impedance (ZE), excess isentropic compressibility (Δβs) of pure tributyl phosphate (TBP), toluene, and binary mixture of TBP and toluene at different mole fraction with different frequencies (1–4 MHz) for temperature 303.15 K

From: Physicochemical study of extractants for extraction of rare earth element

Mole fraction of TBP C (m/s) ZE (Kgm−2s) Δβs(N−1m−2)
X1 1 MHz 2 MHz 3 MHz 4 MHz 1 MHz 2 MHz 3 MHz 4 MHz 1 MHz 2 MHz 3 MHz 4 MHz
0.0000 1277 1276 1275 1274 0 0 0 0 0 0 0 0
0.0712 1273 1272 1269 1266 8822.209136 9017.370483 7338.805523 5727.921717 −24.0977223 −23.5064086 −29.1325544 −34.5556821
0.1692 1270 1267 1264 1263 18,398.69858 17,094.45081 15,468.52745 15,775.09589 −40.2538249 −44.5948991 −49.8040229 −48.8577351
0.2570 1266 1263 1262 1260 22,275.00696 21,192.98695 21,418.41985 20,990.12630 −51.6533634 −55.1956038 −54.4491710 −55.8436206
0.4356 1263 1260 1257 1254 26,126.04457 25,516.19964 24,078.21116 23,054.29446 −45.1060738 −47.1285120 −51.4146950 −54.5538893
0.5052 1260 1257 1254 1252 24,444.13866 24,021.78251 22,638.96235 22,658.39719 −44.9226509 −46.3532079 −50.4121021 −50.4289483
0.5820 1257 1254 1251 1248 22,042.54496 21,828.96515 20,508.91255 19,742.09635 −42.4159704 −43.2020031 −47.0186650 −49.3089136
0.7059 1254 1250 1247 1244 18,040.51155 17,232.04710 16,017.50963 15,473.98517 −30.3684272 −32.8126061 −36.2578405 −37.8555057
0.7781 1252 1248 1245 1242 14,720.53797 14,108.45672 12,957.15199 12,545.49200 −22.7984274 −24.6398124 −27.8763920 −29.0782435
0.8712 1247 1244 1241 1238 7666.794,136 8254.419,283 7185.757,323 6945.238,917 −18.6133,625 −17.0301590 −19.9923,546 −20.6784,768
1.0000 1244 1240 1238 1235 0 0 0 0 0 0 0 0