Research Article

Theoretical Evaluation of Ultrasonic Velocities in Binary Liquid Mixtures of Anisaldehyde with Some Alcoxyethanols at Different Temperatures

Table 1

Experimental velocities ( /m·sec−1), theoretical velocities ( /m·sec−1), percentage deviations, and interaction parameters for the system anisaldehyde (AA) + methoxyethanol (MOE).

Theoretical velocities Percentage Deviations
 m·sec−1  m·sec−1 m·sec−1  m·sec−1  m·sec−1  m·sec−1% % % % %

303.15 K

0.000 1354.00 1354.00 1354.00 1354.00 1354.01 1354.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.075 1369.51 1372.16 1345.31 1368.93 1381.45 1366.02 0.1939 −1.7668−0.0421 0.8718 −0.2544−6.1036
0.155 1387.04 1390.49 1339.20 1384.58 1408.46 1379.24 0.2487 −3.4491−0.1776 1.5445 −0.5620−2.8601
0.239 1406.31 1408.98 1336.19 1400.99 1434.66 1393.75 0.1895 −4.9860−0.3786 2.0157 −0.8931−1.8195
0.328 1426.98 1427.63 1337.03 1418.22 1459.60 1409.66 0.0455 −6.3034−0.6137 2.2862 −1.2140−1.3180
0.423 1448.62 1446.44 1342.75 1436.34 1482.86 1427.08 −0.1505−7.3083−0.8477 2.3634 −1.4872−1.0234
0.524 1470.60 1465.42 1354.88 1455.42 1503.61 1446.16 −0.3523−7.8694−1.0325 2.2441 −1.6618−0.8274
0.631 1492.18 1484.57 1375.70 1475.53 1521.10 1467.08 −0.5101−7.8058−1.1155 1.9385 −1.6817−0.6858
0.746 1512.35 1503.88 1408.90 1496.77 1534.37 1490.03 −0.5604−6.8404−1.0305 1.4557 −1.4759−0.5796
0.868 1529.84 1523.36 1460.75 1519.22 1542.19 1515.25 −0.4242−4.5164−0.6944 0.8066 −0.9543−0.5004
1.000 1543.00 1543.00 1543.00 1543.00 1542.99 1543.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

308.15 K

0.000 1344.00 1344.00 1344.00 1344.00 1344.00 1344.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.075 1355.84 1360.72 1334.98 1357.63 1374.94 1355.18 0.3602 −1.5382 0.1319 1.4088 −0.0485−5.5561
0.155 1369.86 1377.57 1328.46 1371.91 1404.84 1367.45 0.5632 −3.0221 0.1499 2.5535 −0.176−2.5850
0.239 1385.85 1394.55 1324.94 1386.91 1433.15 1380.88 0.6283 −4.3947 0.0765 3.4138 −0.3584−1.6283
0.328 1403.53 1411.66 1325.13 1402.66 1459.27 1395.56 0.5789 −5.5863−0.0623 3.9712 −0.5681−1.1681
0.423 1422.62 1428.89 1330.01 1419.24 1482.55 1411.60 0.4413 −6.5096−0.2376 4.2133 −0.7745−0.9013
0.524 1442.60 1446.26 1341.02 1436.70 1501.95 1429.11 0.2536 −7.0415−0.4091 4.1141 −0.9352−0.7279
0.631 1462.92 1463.75 1360.33 1455.12 1516.47 1448.23 0.0566 −7.0129−0.5334 3.6604 −1.0042−0.6064
0.746 1482.82 1481.37 1391.38 1474.58 1524.86 1469.12 −0.098−6.1665−0.5555 2.8357 −0.9236−0.5178
0.868 1501.28 1499.12 1440.00 1495.17 1525.65 1491.97 −0.144−4.0819−0.4070 1.6229 −0.6202−0.4532
1.000 1517.00 1517.00 1517.00 1517.00 1517.00 1517.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

313.15 K

0.000 1335.00 1335.00 1335.00 1335.00 1335.01 1335.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.075 1345.32 1351.84 1326.10 1346.83 1368.57 1346.31 0.4847 −1.4282 0.2504 1.7284 0.0736 −2.7686
0.155 1357.97 1368.80 1319.69 1359.53 1400.83 1358.70 0.7972 −2.8190 0.3729 3.1559 0.0532 −1.3043
0.239 1372.80 1385.89 1316.28 1373.20 1431.15 1372.24 0.9533 −4.1173 0.3863 4.2502 −0.0406−0.8325
0.328 1389.59 1403.10 1316.56 1387.97 1458.80 1387.03 0.972 −5.2557 0.3128 4.9807 −0.1839−0.6037
0.423 1408.11 1420.43 1321.52 1403.96 1483.05 1403.18 0.8752 −6.1491 0.1769 5.3219 −0.3504−0.4686
0.524 1427.97 1437.90 1332.61 1421.33 1502.70 1420.79 0.6954 −6.6776 0.0138 5.2339 −0.5028−0.3786
0.631 1448.71 1455.48 1351.99 1440.27 1516.65 1440.00 0.4674 −6.6761−0.1392 4.6895 −0.6014−0.3139
0.746 1469.73 1473.20 1383.12 1461.01 1523.48 1460.98 0.2358 −5.893−0.2346 3.6573 −0.5956−0.2659
0.868 1490.20 1491.04 1431.84 1483.81 1521.57 1483.90 0.0563 −3.9162−0.2134 2.1056 −0.4222−0.2313
1.000 1509.00 1509.00 1509.00 1509.00 1508.98 1509.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
318.15 K

0.000 1312.00 1312.00 1312.00 1312.00 1312.02 1312.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.075 1320.81 1329.43 1303.50 1324.24 1348.23 1323.78 0.3602 −1.5382 0.1319 1.4088 −0.0485−1.7132
0.155 1332.16 1346.98 1297.48 1337.38 1382.95 1336.66 0.5632 −3.0221 0.1499 2.5535 −0.176−0.8151
0.239 1345.95 1364.67 1294.45 1351.52 1415.45 1350.71 0.6283 −4.3947 0.0765 3.4138 −0.3584−0.5253
0.328 1362.05 1382.47 1295.13 1366.80 1444.93 1366.03 0.5789 −5.5863−0.0623 3.9712 −0.5681−0.3841
0.423 1380.31 1400.41 1300.50 1383.33 1470.53 1382.73 0.4413 −6.5096−0.2376 4.2133 −0.7745−0.2999
0.524 1400.47 1418.47 1312.03 1401.31 1490.95 1400.93 0.2536 −7.0415−0.4091 4.1141 −0.9352−0.2431
0.631 1422.23 1436.67 1331.92 1420.90 1504.96 1420.77 0.0566 −7.0129−0.5334 3.6604 −1.0042−0.2019
0.746 1445.18 1454.98 1363.68 1442.36 1511.03 1442.43 −0.0980−6.1665−0.5555 2.8357 −0.9236−0.1710
0.868 1468.71 1473.43 1413.31 1465.94 1507.39 1466.09 −0.1440−4.0819−0.4070 1.6229 −0.6202−0.1487
1.000 1492.00 1492.00 1492.00 1492.00 1492.01 1492.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000