Research Article

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

Table 3

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

Theoretical velocitiesPercentage Deviations
 m·sec−1  m·sec−1 m·sec−1  m·sec−1  m·sec−1  m·sec−1 % % % % %

303.15 K

0.000 1321.40 1321.40 1321.40 1321.40 1321.39 1321.40 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.108 1332.92 1342.54 1337.19 1350.66 1323.15 1332.83 1.1244 0.6475 1.8302 0.7957 0.3028 −7.4659
0.214 1347.19 1363.90 1354.15 1377.90 1328.73 1346.05 1.9356 1.0715 3.1416 1.4081 0.4339 −3.6301
0.318 1364.08 1385.48 1372.36 1403.34 1337.72 1361.20 2.4514 1.2973 3.9702 1.8450 0.4264 −2.4391
0.421 1383.39 1407.30 1391.89 1427.14 1349.36 1378.47 2.6986 1.3581 4.3618 2.0912 0.3216 −1.8825
0.522 1405.00 1429.34 1412.84 1449.46 1363.29 1398.08 2.7018 1.2837 4.3597 2.1562 0.1581 −1.5616
0.621 1428.79 1451.61 1435.29 1470.43 1379.13 1420.29 2.4870 1.1051 4.0084 2.0476 −0.0236−1.3480
0.718 1454.59 1474.11 1459.39 1490.17 1396.32 1445.44 2.0846 0.8576 3.3562 1.7650 −0.1766−1.1907
0.813 1482.31 1496.84 1485.26 1508.78 1414.64 1473.92 1.5182 0.5693 2.4429 1.3249 −0.2584−1.0670
0.907 1511.80 1519.80 1513.07 1526.36 1433.59 1506.23 0.8167 0.2747 1.3130 0.7302 −0.2163−0.9661
1.000 1543.00 1543.00 1543.00 1543.00 1453.01 1543.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

308.15 K

0.000 1274.00 1274.00 1274.00 1274.00 1273.99 1274.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.108 1284.73 1297.04 1290.99 1306.08 1290.18 1286.52 0.9576 0.4871 1.6617 0.4242 0.1392 −7.0361
0.214 1298.97 1320.35 1309.29 1335.96 1308.99 1300.94 1.6459 0.7944 2.8476 0.7709 0.1517 −3.4064
0.318 1316.54 1343.94 1328.98 1363.85 1330.21 1317.43 2.0817 0.9453 3.5940 1.0387 0.0681 −2.2786
0.421 1337.20 1367.81 1350.17 1389.95 1353.30 1336.22 2.2898 0.9703 3.9454 1.2046 −0.0732−1.7542
0.522 1360.79 1391.97 1372.97 1414.43 1378.06 1357.55 2.2913 0.8956 3.9418 1.2697 −0.2377−1.4555
0.621 1387.15 1416.40 1397.53 1437.42 1404.25 1381.76 2.1085 0.7483 3.6238 1.2325 −0.3885−1.2597
0.718 1416.09 1441.12 1424.01 1459.07 1431.43 1409.25 1.7676 0.5590 3.0348 1.0832 −0.4831−1.1169
0.813 1447.49 1466.13 1452.59 1479.48 1459.50 1440.51 1.2875 0.3523 2.2100 0.8296 −0.4824−1.0047
0.907 1481.15 1491.42 1483.50 1498.76 1488.04 1476.16 0.6931 0.1583 1.1887 0.4653 −0.3373−0.9124
1.000 1517.00 1517.00 1517.00 1517.00 1517.01 1517.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

313.15 K

0.000 1266.00 1266.00 1266.00 1266.00 1266.01 1266.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.108 1274.72 1289.05 1282.98 1298.05 1284.86 1278.58 1.1244 0.6475 1.8302 0.7957 0.3028 −6.3712
0.214 1287.46 1312.38 1301.26 1327.91 1305.59 1293.05 1.9356 1.0715 3.1416 1.4081 0.4339 −3.0669
0.318 1304.02 1335.98 1320.93 1355.79 1328.08 1309.58 2.4514 1.2973 3.9702 1.8450 0.4264 −2.0367
0.421 1324.13 1359.86 1342.11 1381.88 1351.82 1328.39 2.6986 1.3581 4.3618 2.0912 0.3216 −1.5585
0.522 1347.61 1384.02 1364.91 1406.36 1376.66 1349.74 2.7018 1.2837 4.3597 2.1562 0.1581 −1.2893
0.621 1374.27 1408.45 1389.46 1429.36 1402.41 1373.95 2.4870 1.1051 4.0084 2.0476 −0.0236−1.1164
0.718 1403.90 1433.16 1415.94 1451.01 1428.68 1401.42 2.0846 0.8576 3.3562 1.7650 −0.1766−0.9936
0.813 1436.35 1458.16 1444.53 1471.44 1455.38 1432.64 1.5182 0.5693 2.4429 1.3249 −0.2584−0.8994
0.907 1471.42 1483.44 1475.46 1490.74 1482.16 1468.24 0.8167 0.2747 1.3130 0.7302 −0.2163−0.8228
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 1243.00 1243.00 1243.00 1243.01 1243.05 1243.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.108 1250.70 1266.65 1260.27 1275.75 1266.25 1256.05 1.2751 0.7651 2.0030 1.2433 0.4280 −5.6041
0.214 1262.84 1290.57 1278.89 1306.28 1290.28 1271.00 2.1962 1.2708 3.4399 2.1730 0.6464 −2.6893
0.318 1279.18 1314.77 1298.94 1334.81 1315.12 1288.02 2.7822 1.5448 4.3484 2.8090 0.6910 −1.7786
0.421 1299.45 1339.25 1320.55 1361.53 1340.34 1307.34 3.0626 1.6238 4.7771 3.1461 0.6069 −1.3561
0.522 1323.44 1364.01 1343.85 1386.61 1365.87 1329.22 3.0651 1.5419 4.7731 3.2056 0.4368 −1.1197
0.621 1350.95 1389.04 1368.98 1410.20 1391.58 1354.00 2.8197 1.3348 4.3858 3.0071 0.2260 −0.9698
0.718 1381.73 1414.36 1396.13 1432.42 1417.14 1382.09 2.3615 1.0425 3.6689 2.5629 0.0261 −0.8652
0.813 1415.63 1439.96 1425.51 1453.40 1442.55 1413.99 1.7181 0.6978 2.6677 1.9015 −0.1160−0.7862
0.907 1452.43 1465.84 1457.37 1473.23 1467.50 1450.35 0.9232 0.3402 1.4320 1.0379 −0.1428−0.7229
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