16; (4): 39-396 ISSN Print: 394-75 ISSN Online: 394-5869 Impact Factor: 5. IJAR 16; (4): 39-396 www.allresearchjournal.com Received: 16--16 Accepted: 19-3-16 Gurcharan Dass Director-Principal, Bharat Group of Colleges, Sardulgarh, Mansa Punjab, India. Comparison of eperimental and theoretical ecess molar volumes from PFP theory for binary miture of dipropyleneglycolmonobutyl ether with methanol, 1- propanol, 1-pentanol and 1-heptanol at 98.15k and atmospheric pressure Gurcharan Dass Abstract Studies are connected with the analysis and interpretation of the ecess thermodynamic properties of aqueous and non- aqueous mitures of alkyl poly (ethylene glycol) monoethers which have the generic formula CmHm+1{o (CH)}nOH; which is conveniently abbreviated to Cmn. cess thermodynamic properties, which depend on the composition temperature, and pressure, are of great importance in helping to understand the nature and etent of the pattern of molecular aggregation that eists in (water + an amphiphile) mitures, resulting from molecular interactions between the components. Also, there have been some interesting recent investigation of (amphiphile + an organic solvent) systems designed to provide information about the nature of amphiphile aggregates. A comparative study of the ecess thermodynamic properties provides evidence of the disruption of the amphiphile aggregates when the organic component is substituted for water. Keywords: PFP theory,binary miture,dipropyleneglycolmonobutyl. Correspondence GurcharanDass Director-Principal, Bharat Group of Colleges, Sardulgarh, Mansa Punjab, India. Introduction Investigations into thermodynamic properties of binary liquid miture play a role in the field of solution chemistry as it provided a valuable tool to understand the nature and etent of the molecular interactions that eist among the constituents of binary liquid mitures. The eistence of liquid or solid in nature is due to intermolecular interactions. Theoretical calculations of ecess molar volumes from PFP theory: Theoretical ecess molar volumes from PFP theory have been calculated at 98.15K and atmospheric pressure in binary miture of dipropyleneglycolmonobutyl ether with methanol, 1-propanol, 1-pentanol and 1-heptanol. The theoretical calculated results from PFP theory of ecess molar volumes are reported in Table 1.1-1.4 along with the result reported by Pal(1-4). Prigogine-Flory-Patterson (PFP) Theory (5-6) The PFP theory in the following form has been used to compute Vm of the mitures: 1 / 3 / 3 V (v 1 ~ 1)v ~ 1/ 3 1 ( P 1V1 V ) [(4 / 3)v ~ 1] 1 1 / 3 (v ~ 1 9)v ~ v~ ) [( 14/ 1] 1 / 3 1 [(4 / 3)v ~ 1] (v ~ 1 v~ ) (P1 P ) 1 P1 P 1 (1.1) Where represents the contact energy fraction, given by 1P1 1 1 1P1 P (1.) ~ 39 ~
Table1.1: perimental values of ecess molar volume Vm and theoretical calculated from PFP theory for binary mitures of dipropyleneglycolmonobutyl ether (1) + methanol () at 98.15 K and atmospheric pressure V m 1 6 / m 3 mol -1 V m 1 6 / m 3 mol -1 Dipropyleneglycolmonobutyl ether (1) + methanol ().199 -.1165 -.49.331 -.1846 -.85.57 -.74 -.16.666 -.33 -.164.81 -.389 -.199.87 -.44 -.11.997 -.443 -.4.1136 -.4818 -.76.176 -.5177 -.36.1347 -.5344 -.36.1456 -.5584 -.351.157 -.5814 -.371.179 -.61 -.46.195 -.6438 -.445.158 -.6699 -.476.574 -.777 -.535.733 -.7177 -.56.35 -.735 -.597.353 -.7371 -.615.41 -.785 -.6.4548 -.748 -.614.5173 -.6615 -.58.5649 -.619 -.545.684 -.487 -.434.76 -.385 -.344.839 -.653 -.5.9481 -.89 -.97 Table1.: perimental values of ecess molar volume Vm and theoretical calculated from PFP theory for binary mitures of dipropyleneglycolmonobutyl ether (1) + 1-propanol () at 98.15 K and atmospheric pressure X V m 1 6 / m 3 mol -1 V m 1 6 / m 3 mol -1 Dipropyleneglycolmonobutyl ether (1) + 1-propanol ().177 -.373 -.34.34 -.696 -.61.47 -.943 -.84.639 -.139 -.111.881 -.1634 -.145.11 -.1816 -.164.113 -.1 -.187.1349 -.94 -.11.1599 -.595 -.41.1788 -.799 -.59.1855 -.867 -.64.8 -.333 -.78.19 -.3176 -.9.369 -.3315 -.3.488 -.341 -.31.58 -.3463 -.314.889 -.3644 -.39.33 -.371 -.333.351 -.385 -.343.3476 -.388 -.345.36 -.3913 -.344.3838 -.396 -.347.416 -.399 -.345.4517 -.3988 -.335.4963 -.397 -.35.5453 -.3793 -.316.5953 -.359 -.95.64 -.3344 -.71.6718 -.3161 -.58.7831 -.38 -.196.8711 -.1466 -.15.96 -.113 -.99.9584 -.51 -.41 ~ 393 ~
Table1.3: perimental values of ecess molar volume Vm and theoretical calculated from PFP theory for binary mitures of dipropyleneglycolmonobutyl ether (1) + 1-pentanol () at 98.15 K and atmospheric pressure X Vm 1 6 / m 3 mol -1 Vm 1 6 / m 3 mol -1 Theoretical calculated values from PFP theory From reference(1-4) Dipropyleneglycolmonobutyl ether (1) + 1-pentanol ().16 -.174 -.19.317 -.5 -.61.55 -.774 -.89.773 -.113 -.13.176 -.149 -.166.1451 -.1878 -.4.1791 -.179 -.3.547 -.686 -.7.773 -.798 -.81.86 -.837 -.84.33 -.894 -.89.37 -.93 -.91.3657 -.379 -.36.3667 -.381 -.34.459 -.3131 -.39.4671 -.319 -.31.59 -.348 -.38.5885 -.864 -.93.631 -.7 -.8.719 -.83 -.39.7941 -.1759 -.198.8714 -.1166 -.137.941 -.559 -.66.995 -.74 -.7 Table1.4: perimental values of ecess molar volume Vm and theoretical calculated from PFP theory for binary mitures of dipropyleneglycolmonobutyl ether (1) + 1-heptanol () at 98.15 K and atmospheric pressure X Vm 1 6 / m 3 mol -1 Vm 1 6 / m 3 mol -1 Dipropyleneglycolmonobutyl ether (1) + 1-heptanol ().15 -.14 -.3.74 -.39 -.51.88 -.73 -.111.1415 -.144 -.143.37 -.1364 -.176.655 -.166 -.19.86 -.1671 -.194.311 -.1739 -.197.36 -.1774 -.198.344 -.184 -.198.3546 -.1831 -.199.3767 -.1865 -.1.3991 -.1891 -..4147 -.194 -..4484 -.19 -.199.4661 -.191 -.196.55-197 -.187.5184 -.1897 -.188.548 -.1871 -.186.5677 -.1837 -.179.5865 -.185 -.178.6389 -.1691 -.171.747 -.1496 -.148.7549 -.1311 -.139.7971 -.1133 -.118.8355 -.953 -.99.93 -.6 -.67.9477 -.333 -.41.993 -.46 -.3 ~ 394 ~
.1..3.4.5.6.7.8.9 1 -.1 -. Vm 1 6 / m 3 mol -1 -.3 -.4 -.5 Series -.6 -.7 -.8 Fig 1.1: cess molar volume Vm for {Dipropyleneglycolmonobutyl ether (1) + methanol ()} at 98.15 K. Series 1 for eperimental data (1-4) and series from theoretical calculations from PFP theory. -.5..4.6.8 1 -.1 -.15 V m 1 6 / m 3 mol -1 -. -.5 -.3 Series -.35 -.4 -.45 Fig1.: cess molar volume Vm for {Dipropyleneglycolmonobutyl ether (1) + 1-propanol () } at 98.15 K. Series 1 for eperimental data (1-4) and series from theoretical calculations from PFP theory. -.5 5 1 15 5 3 -.1 Vm 1 6 / m 3 mol -1 -.15 -. -.5 Series -.3 -.35 Fig1.3: cess molar volume Vm for {Dipropyleneglycolmonobutyl ether (1) + 1-pentanol () } at 98.15 K. Series 1 for eperimental data (1-4) and series from theoretical calculations from PFP theory. ~ 395 ~
.5..4.6.8 1 Vm 1 6 / m 3 mol -1 -.5 -.1 -.15 Series -. -.5 Fig1.4: cess molar volume Vm for {Dipropyleneglycolmonobutyl ether (1) + 1-heptanol ()} at 98.15 K. Series 1 for eperimental data (1-4) and series from theoretical calculations from PFP theory. Results and Discussions Comparisons have been made with theoretical ecess molar volumes from PFP theory and with eperimental reported data and found that the maima for the theoretical calculated value for dipropylene glycol monobutyl ether with methanol is at -.7371 and for reported data is at -.6, for dipropylene glycol monobutyl ether with 1-propanol is at -.3988 and for reported data is at.347, for dipropylene glycol monobutyl ether with 1-pentanol is at -.3131 and for reported data is at -.31, for dipropylene glycol monobutyl ether with 1-heptanol is at -.191 and for reported data is at -.1 The theoretical calculated results from PFP theory of ecess molar volumes are reported in Table 1.1-1.4 along with the result reported by Pal (1-4). Conclusion Graphs for the all above calculations are shown in Figure 1.1-1.4. From graphs it is concluded that the behavior of ecess molar volume curves for both the eperimental data and theoretical calculated data is almost the same. Hence as a result we can predict the behavior of miing along with the type of interaction in much etent by only theoretical calculation if the required parameters for calculation are available in the literature. References 1. Pal A, SinghYP. J Chem. Thermodynamic. 1994, 6, 163; 1996, 8, -.. Pal A, Singh YP. J Chem. Thermodynamic. 1995, 7, 139. 3. Pal A, SinghWJ. chem. ng. Data 1996, 4, 181. 4. Pal A, Singh YP. Indian J Pure and Appl.Physics. 1996, 67,18 5. Prigogine I. The Molecular Theory of Solution, North- Holland, Amsterdam, 1957. 6. Flory PJ, Abe A. J Amer. Chem. Soc. 87, (1965), 1838. ~ 396 ~