Research Article

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

Table 2

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

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 1314.40 1314.40 1314.40 1314.00 1314.03 1314.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.082 1332.74 1336.17 1316.07 1332.85 1340.27 1326.98 0.4847 −1.4282 0.2504 1.7284 0.0736 −5.1807
0.168 1351.90 1358.18 1320.34 1352.46 1366.37 1341.59 0.7972 −2.8190 0.3729 3.1559 0.0532 −2.4798
0.257 1371.96 1380.42 1327.63 1372.87 1392.16 1357.99 0.9533 −4.1173 0.3863 4.2502 −0.0406−1.6262
0.350 1392.97 1402.91 1338.45 1394.13 1417.46 1376.35 0.9720 −5.2557 0.3128 4.9807 −0.1839−1.2189
0.447 1414.96 1425.65 1353.51 1416.29 1441.92 1396.87 0.8752 −6.1491 0.1769 5.3219 −0.3504−0.9789
0.548 1438.05 1448.62 1373.73 1439.43 1465.43 1419.82 0.6954 −6.6776 0.0138 5.2339 −0.5028−0.8161
0.653 1462.31 1471.85 1400.43 1463.59 1487.70 1445.49 0.4674 −6.6761−0.1392 4.6895 −0.6014−0.6950
0.764 1487.83 1495.32 1435.47 1488.85 1508.32 1474.25 0.2358 −5.8930−0.2346 3.6573 −0.5956−0.5992
0.879 1514.67 1519.03 1481.57 1515.30 1526.86 1506.57 0.0563 −3.9162−0.2134 2.1056 −0.4222−0.5221
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 1298.00 1298.00 1298.00 1297.94 1297.84 1298.00 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
0.082 1313.37 1318.94 1299.41 1319.49 1326.64 1310.57 0.36024 −1.53820 0.13188 1.40882 −0.04850−4.53344
0.168 1329.87 1340.09 1303.36 1341.12 1354.75 1324.70 0.56319 −3.02208 0.14991 2.55351 −0.17599−2.15490
0.257 1347.61 1361.45 1310.23 1362.82 1381.93 1340.53 0.62830 −4.39466 0.07653 3.41376 −0.35841−1.40028
0.350 1366.68 1383.02 1320.54 1384.60 1407.90 1358.20 0.57887 −5.58632−0.06228 3.97122 −0.56813−1.04114
0.447 1387.18 1404.81 1334.96 1406.47 1432.23 1377.91 0.44133 −6.50964−0.23759 4.21331 −0.77448−0.83305
0.548 1409.28 1426.82 1354.37 1428.41 1454.70 1399.90 0.25358 −7.04151−0.40912 4.11407 −0.93516−0.69528
0.653 1433.15 1449.04 1380.04 1450.44 1474.92 1424.43 0.05660 −7.01292−0.53338 3.66038 −1.00423−0.59535
0.764 1458.92 1471.47 1413.73 1472.54 1492.38 1451.84 −0.09758−6.16651−0.55550 2.83567 −0.92355−0.51793
0.879 1486.79 1494.13 1458.04 1494.73 1506.56 1482.53 −0.14406−4.08186−0.40696 1.62291 −0.62017−0.45600
1.000 1517.00 1517.00 1517.00 1517.00 1517.01 1517.00 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000

313.15 K

0.000 1272.00 1272.00 1272.00 1272.00 1272.01 1272.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.082 1286.81 1294.56 1274.16 1295.30 1303.83 1285.53 0.4847 −1.4282 0.2504 1.7284 0.0736 −3.3140
0.168 1303.11 1317.37 1278.93 1318.70 1334.81 1300.72 0.7972 −2.8190 0.3729 3.1559 0.0532 −1.5729
0.257 1321.07 1340.43 1286.71 1342.17 1364.67 1317.71 0.9533 −4.1173 0.3863 4.2502 −0.0406−1.0189
0.350 1340.82 1363.75 1298.05 1365.74 1393.07 1336.71 0.9720 −5.2557 0.3128 4.9807 −0.1839−0.7553
0.447 1362.54 1387.32 1313.67 1389.39 1419.55 1357.92 0.8752 −6.1491 0.1769 5.3219 −0.3504−0.6030
0.548 1386.45 1411.14 1334.53 1413.14 1443.83 1381.62 0.6954 −6.6776 0.0138 5.2339 −0.5028−0.5033
0.653 1412.79 1435.22 1362.00 1436.97 1465.48 1408.13 0.4674 −6.6761−0.1392 4.6895 −0.6014−0.4316
0.764 1441.79 1459.56 1398.03 1460.89 1483.93 1437.85 0.2358 −5.8930−0.2346 3.6573 −0.5956−0.3774
0.879 1473.74 1484.15 1445.51 1484.90 1498.59 1471.27 0.0563 −3.9162−0.2134 2.1056 −0.4222−0.3347
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
0.000 1272.00 1272.00 1272.00 1272.00 1272.01 1272.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
318.15 K

1248.00 1248.00 1248.00 1248.00 1248.00 1248.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.082 1261.74 1271.23 1250.51 1271.94 1281.86 5123.61 0.6525 −1.3107 0.4022 2.0762 0.2248 −2.5567
0.168 1277.25 1294.71 1255.63 1295.98 1314.71 3588.24 1.1124 −2.6038 0.6586 3.8125 0.3372 −1.2137
0.257 1294.72 1318.45 1263.79 1320.12 1346.21 2901.53 1.3904 −3.8264 0.7834 5.1637 0.3533 −0.7857
0.350 1314.34 1342.46 1275.54 1344.36 1376.00 2488.92 1.4998 −4.9133 0.7938 6.0851 0.2924 −0.5824
0.447 1336.31 1366.72 1291.61 1368.70 1403.55 2205.39 1.4564 −5.7820 0.7085 6.5360 0.1753 −0.4652
0.548 1360.91 1391.25 1313.00 1393.15 1428.55 1994.81 1.2857 −6.3151 0.5559 6.4609 0.0328 −0.3888
0.653 1388.46 1416.04 1341.14 1417.71 1450.51 1830.26 1.0147 −6.3504 0.3657 5.8166 −0.1027−0.3345
0.764 1419.23 1441.10 1378.03 1442.37 1468.80 1696.99 0.6785 −5.6394 0.1758 4.5564 −0.1901−0.2938
0.879 1453.59 1466.42 1426.72 1467.13 1482.81 1586.13 0.3213 −3.7722 0.0337 2.6336 −0.1780−0.2612