Supplementary Information
Ultrasonic study for the molecular interactions of the ternary liquid mixture of p-anisaldehyde (4-methoxy benzaldehyde) with dimethylamine
(N-methylmethanamine) and n-hexane at various temperatures
Y Geetha
a, P S Syed Ibrahim*
b, J Edward Jeyakumar
c& S Chidambara Vinayagam
da Department of Chemistry, Chennai Institute of Technology, Chennai 600 069, India
b Department of Chemistry, V.S.B Engineering College, Karur 639 111, India
c Department of Chemistry, DMI College of Engineering, Chennai 600 123, India
d RV Government Arts College, Chengalpattu 603 001, Tamil Nadu, India E-mail: [email protected]
Received 24 November 2022; accepted(revised) 18 August 2023
0 2 4 6 8 10 1.2
1.3 1.4 1.5 1.6 1.7 1.8
Acoustic impedance (Z) X 105 Kg/(m2 S)
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S1 – Plot between Conc. and acoustic impedance for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
!
0 2 4 6 8 10
3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2
Adaiabatic compressibility X 10-9 N-1 m2
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S2 – Plot between Conc. and adiabatic compressibility for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
!
0 2 4 6 8 10 1
2 3 4 5 6
Free length A0
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S3 – Plot between Conc. and free length for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
!
!
0 2 4 6 8 10
1.0 1.5 2.0 2.5 3.0 3.5 4.0
Free volume Vf X 10-7 m3
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S4 – Plot between Conc. and free volume for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
!
0 2 4 6 8 10 15
16 17 18 19 20 21
Internal Pressure 108 Nm-2
Conc. MX10-3
!
Fig. S5 – Plot between Conc. and internal pressure for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
0 2 4 6 8 10
15 16 17 18 19 20 21 22
Cohesive energy KJMol-1
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S6 – Plot between Conc. and cohesive energy for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
0 2 4 6 8 10 -0.20
-0.15 -0.10 -0.05 0.00 0.05 0.10 0.15 0.20
molecular interaction parameter
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S7 – Plot between Conc. and molecular interaction parameter for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
!
!
!
0 2 4 6 8 10
6 8 10 12 14 16
Viscous relaxation time X 10-13 s
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S8 –Plot between Conc. and viscous relaxation time for 4MBA +DMA+ n hexane at 303 K, 308K and 313K.
0 2 4 6 8 10 1
2 3 4 5
LJP n
Conc. MX10-3
!
Fig. S9 – Plot between Conc. and LJP for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
!
!
0 2 4 6 8 10
1 2 3 4 5 6
Free energy KJMol-1
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S10 – Plot between Conc. and free energy for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
!
!
!
!
0 2 4 6 8 10
20 30 40 50 60 70 80 90 100 110
K value dm-3 mol-1
Conc. MX10-3
303 K 308 K 313 K
dm-3mol-1!
!
Fig. S11 – Plot between Conc. and K value for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
0 2 4 6 8 10
860 865 870 875 880 885
ZE excess acoustic impedance Kg/(m2 S)
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S12 – Plot between Conc. and excess acoustic impedance for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
!
!
0 2 4 6 8 10 -9.8
-9.6 -9.4 -9.2 -9.0 -8.8 -8.6 -8.4 -8.2
Excess adiabatic compressibility X 10-7 N-1 m2
Conc. MX10-3
!
Fig. S13 – Plot between Conc. and excess adiabatic compressibility for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
0 2 4 6 8 10
-5.24 -5.22 -5.20 -5.18 -5.16 -5.14 -5.12 -5.10 -5.08 -5.06
Lf Excess free length A0
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S14 – Plot between Conc. and excess free length for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
!
!
0 2 4 6 8 10 -3.0
-2.8 -2.6 -2.4 -2.2 -2.0 -1.8
Excess free volume VE f X 10-8 m3 /mol
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S15 – Plot between Conc. and excess free volume for 4MBA +DMA+n hexane at 303 K, 308 K & 313 K.
!
0 2 4 6 8 10
-130 -120 -110 -100 -90 -80
Excess ultrasonic velocity UE ms-1
Conc. MX10-3
303 K 308 K 313 K
!
Fig. S16 – Plot between Conc. and excess ultrasonic velocity for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
0 2 4 6 8 10 -3.8
-3.6 -3.4 -3.2
Excess internal pressure X 108 Nm-2
Conc. MX10-3
!
Fig. S17 – Plot between Conc. and excess internal pressure for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
Fig. S18 – Plot between 1/T. and ln K for 4MBA +DMA+n hexane at 303 K, 308 K and 313 K.
