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Chugh R.,Maharshi Dayanand University | Rani R.,Aijhm College
Journal of Engineering and Applied Sciences | Year: 2016

In this study, using the projection technique, we introduce a new iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of variational inequality problem for inverse strongly monotone mapping in a real Hilbert space. © Medwell Journals, 2016.


Jangra S.K.,Maharshi Dayanand University | Yadav J.S.,P.A. College | Dimple N.,Aijhm College | Sharma V.K.,Maharshi Dayanand University
Journal of Chemical and Engineering Data | Year: 2010

Excess molar volumes, VE, excess molar enthalpies, H E, speeds of sound, u, and vapor-liquid equilibrium data of tetrahydropyran (1) + aniline or N-methylaniline or 2-methylaniline (2) binary mixtures have been measured over the entire mole fraction range at 308.15 K. Speeds of sound and vapor-liquid equilibrium data have been utilized to predict isentropic compressibility changes of mixing, °SE, and excess Gibb's free energy, GE. The observed VE, HE, KS S, and GE data have been analyzed in terms of Graph theory. It has been observed that VE, HE, K SS, and GE predicted by Graph theory compare well with their corresponding experimental values. © 2010 American Chemical Society.


Saini N.,Maharshi Dayanand University | Jangra S.K.,Maharshi Dayanand University | Yadav J.S.,Aijhm College | Sharma D.,P.A. College | Sharma V.K.,Maharshi Dayanand University
Thermochimica Acta | Year: 2011

Densities, ρ and speeds of sound, u of tetrahydropyran (i) + pyridine or α-, β- or γ- picoline (j) binary mixtures at 298.15, 303.15 and 308.15 K and excess molar enthalpies, HE of the same set of mixtures at 308.15 K have been measured as a function of composition using an anton Parr vibrating-tube digital density and sound analyzer (model DSA 5000) and 2-drop micro-calorimeter, respectively. The resulting density and speed of sound data of the investigated mixtures have been utilized to predict excess molar volumes, VE and excess isentropic compressibilities, κSE. The observed data have been analyzed in terms of (i) Graph theory; (ii) Prigogine-Flory-Patterson theory. It has been observed that VE, HE and κSE data predicted by Graph theory compare well with their experimental values. © 2011 Elsevier B.V.


Yameeka,Maharshi Dayanand University | Dimple,P.A. College | Yadav J.S.,Aijhm College | Sharma V.K.,Maharshi Dayanand University
Journal of Solution Chemistry | Year: 2013

Excess molar volumes V E, excess molar enthalpies H E, and speeds of sound u for 1-methyl pyrrolidin-2-one (1) + water or propan-1-ol or propan-2-ol (2) binary mixtures have been measured over the entire composition range (at 308.15 K) using a dilatometer, calorimeter and interferometer. Speeds of sound data, u, of (1 + 2) binary mixtures have been utilized to determine excess isentropic compressibilities, κ S E. The observed V E, H E and κS E data have been analyzed in terms of (1) Graph theory (which involves the topology of the constituents of mixture), and (2) the Prigogine-Flory-Patterson theory. Analysis of V E data in terms of Graph theory suggests that 1-methyl pyrrolidin-2-one, water, propan-1-ol, and propan-2-ol exist as associated molecular entities. IR studies lend additional support to the proposed molecular entities in (1 + 2) mixtures. It has been observed that V E, H E and κS E values predicted by Graph theory compare well with their corresponding experimental values. © 2013 Springer Science+Business Media New York.


Sharma V.K.,M D University | Dua R.,M D University | Dimple,Hindu College | Jangra S.K.,AIJHM College
Fluid Phase Equilibria | Year: 2014

Molar heat capacities, CP123 and CPmix, have been measured for the ternary o-chlorotoluene (1). +. tetrahydropyran (2). +. benzene or toluene or o-xylene (3) and their binaries tetrahydropyran (1). +. benzene or toluene or o-xylene (2) at 298.15, 303.15 and 308.15. K and atmospheric pressure. From the experimental results, excess heat capacities, CPE and CPE123 values were calculated and fitted to Redlich-Kister equation to determine binary and ternary adjustable parameters along with standard deviations. The observed CPE and CPE123 data have been analyzed by utilizing topology of the constituent molecules (Graph theory). The estimated CPE and CPE123 values from Graph theory are in agreement with experimental values. The interaction parameters, χ* and χ12/ for binary mixtures (simulated by Graph theory) have been discussed to obtain information about molecular interactions in mixtures. © 2014 Elsevier B.V.


Neeti,Maharshi Dayanand University | Jangra S.K.,Maharshi Dayanand University | Yadav J.S.,Aijhm College | Dimple,P.A. College | Sharma V.K.,Maharshi Dayanand University
Journal of Molecular Liquids | Year: 2011

The densities ρ, speed of sound u, data of o-toluidine (i) + tetrahydropyran (j) + N,N-dimethylformamide (k) and its {tetrahydropyran (j) + N,N-dimethylformamide (k); o-toluidine (i) + N,N-dimethylformamide (k)} binaries have been measured as a function of composition at 298.15, 303.15 and 308.15 K. The excess molar enthalpies, HE data of same set of binary mixtures have also been measured over entire composition at 308.15 K. The densities and speeds of sound data of binary and ternary mixtures have been utilized to determine their excess molar volumes, VE and excess isentropic compressibilities, κS E. The observed thermodynamic properties of binary and ternary mixtures have been analyzed in terms of Graph theory. It has been observed that Graph theory correctly predicts the sign as well as magnitude of thermodynamic properties. © 2011 Elsevier B.V. All rights reserved.


Chhikara Y.,Maharshi Dayanand University | Yadav J.S.,Aijhm College | Sharma D.,P.A. College | Sharma V.K.,Maharshi Dayanand University
Journal of Chemical Thermodynamics | Year: 2011

The excess molar volume, VijkE and speed of sound uijk of ternary {1-methyl pyrrolidin-2-one (i)+benzene (j)+methyl benzene, or cyclohexane (k); 1-methyl pyrrolidin-2-one (i)+methyl benzene (j)+cyclohexane (k)} and the excess molar volume, VijE excess molar enthalpy, HijE, and speed of sound, uij, of binary {1-methyl pyrrolidin-2-one (i)+benzene, or methyl benzene, or cyclohexane (j)} mixtures have been measured over the entire range of composition at T = 308.15 K. Speeds of sound of binary and ternary mixtures data have been utilized to determine the excess isentropic compressibility, (κS E)ij and (κ S E)ijk. The observed VE, HE, and κSE results of binary and ternary mixtures have been analyzed in terms of the (1) Graph theory and (2) Prigogine-Flory-Patterson theory. It has been observed that VE, HE, and κ S E values predicted by Graph theory for binary and ternary mixtures compare well with their corresponding experimental values. © 2011 Elsevier Ltd. All rights reserved.


Saini N.,Maharshi Dayanand University | Yadav J.S.,Aijhm College | Jangra S.K.,Maharshi Dayanand University | Sharma D.,P.A. College | Sharma V.K.,Maharshi Dayanand University
Journal of Chemical Thermodynamics | Year: 2011

Excess molar enthalpies, HE data of {o-toluidine (i)+pyridine or α-, β-, or γ-picoline (j)} binary mixtures at a temperature of 308.15 K; densities, ρ speeds of sound, u of the same mixtures at a temperature of (298.15, 303.15, and 308.15) K have been measured over entire mole fraction range. The measured densities and speeds of sound data have been utilized to determine excess molar volumes, VE and excess isentropic compressibilities, κS E of the investigated mixtures. The VE, HE, and κS E data of the studied mixtures have been analyzed in term of (i) Graph theory and (ii) Prigogine-Flory-Patterson theory. Analysis of VE data in terms of Graph theory suggest that (i+j) mixtures are characterized by interaction between nitrogen and carbon atoms of pyridine or substituted pyridine (α-, β-, or γ-picoline) with hydrogen atom and π-electron cloud of aromatic ring of o-toluidine to form i; j molecular complex. The IR studies lend additional support to the proposed molecular entities in (i+j) mixtures. It has been observed that VE, HE, and κS E values predicted by Graph theory compare well with their corresponding experimental values. © 2011 Elsevier Ltd. All rights reserved.


Sharma V.K.,M D University | Rohilla A.,M D University | Yadav J.S.,Aijhm College | Solanki S.,M D University | Sharma D.,P.A. College
Journal of Chemical and Engineering Data | Year: 2013

The excess heat capacities, CPE of 1-methylpyrrolidin-2-one (1) + o-, m-, or p-chlorotoluene (2) and pyrrolidin-2-one (1) + o-, m-, or p-chlorotoluene (2) binary mixtures have been measured as a function of composition at (293.15, 298.15, and 303.15) K using microdifferential scanning calorimetry. The CPE data have been fitted to Redlich-Kister equation to calculate binary adjustable parameters and standard deviations. The measured properties of the studied mixtures have been analyzed in terms of Graph theory (which deals with the topology of the constituent of mixtures). It has been observed that Graph theory describes well the CPE data of the investigated binary mixtures. © 2013 American Chemical Society.


Sharma V.K.,Md University | Bhagour S.,Md University | Solanki S.,Md University | Sheetal,Bhagwan Parshuram College | Jangra S.K.,Aijhm College
Journal of Chemical Thermodynamics | Year: 2014

Excess molar enthalpies, HijkE of ternary 1-ethyl-3-methylimidazolium tetrafluoroborate (i) + Pyrrolidin-2-one (j) + Pyridine or Water (k); 1-ethyl-3-methylimidazolium tetrafluoroborate (i) 1-methyl pyrrolidin-2-one (j) + Pyridine or Water (k) and HE of Pyrrolidin-2-one (i) + Pyridine or Water (j); 1-methyl pyrrolidin-2-one (i) + Pyridine (j); 1-ethyl-3-methylimidazolium tetrafluoroborate (i) + Water (j) mixtures have been measured over entire mole fraction range at 298.15 K. The HijkE value for 1-ethyl-3-methylimidazolium tetrafluoroborate (i) + Pyrrolidin-2-one (j) + Water (k); 1-ethyl-3- methylimidazolium tetrafluoroborate (i) + 1-methyl pyrrolidin-2-one (j) + Pyridine or Water (k) are positive over whole range of composition and for 1-ethyl-3-methylimidazolium tetrafluoroborate (i) + Pyrrolidin-2-one (j) + Pyridine (k) mixture, the sign of HijkE values varies with change in composition of the components. The observed data have been analyzed in terms of (i) Graph; and (ii) Prigogine-Flory-Patterson (PFP) theories. Results indicate that HE and HijkE values obtained by Graph theory are in good agreement with experimental data. The PFP theory correctly predict sign as well as magnitude of HE values for the binary mixtures. However, theory fails to predict the sign of H ijkE values for the ternary mixtures. © 2013 Elsevier Ltd. All rights reserved.

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