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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