ISSN: 2320-2459
Pooja C. Durge*, Urvashi P. Manik, Paritosh L. Mishra
Department of Physics, College of Sardar Patel Mahavidyalaya, Chandrapur, Maharashtra, India
Received: 13-Apr-2023, Manuscript No. JPAP-23-95532; Editor assigned: 17-Apr-2023, PreQC No. JPAP-23-95532 (PQ); Reviewed: 01-May-2023, QC No. JPAP-23-95532; Revised: 08- May-2023, Manuscript No. JPAP- 23-95532 (R); Published: 15- May-2023, DOI: 10.4172/2320- 2459.11.2.001
Citation: Durge PC, et al. Ultrasonic Characterization on Glucose in Aqueous Vitamin C Solution. Res Rev J Pure Appl Phys. 2023;11:001.
Copyright: © 2023 Durge PC, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Glucose and Vitamin C both are important for human body as well as plants and all living creature. The value of velocity, density of glucose at different concentration 0.02 M-0.2 M in the solution aqueous vitamin C solution of 0.2 M concentration at different temperature 283.15 K- 298.15 K has been measured. By using the velocity and density other acoustical, thermodynamical and volumetric parameter also calculated like free length (Lf), Wada’s constant (W), Rao’s constant (R), internal pressure (πi), viscosity (η), apparent molar volume (Vψ), adiabatic compressibility (β), acoustic impedance (Z), Relative Association (RA) and relaxation strength (r). Variation in this all parameter with respect to change in molality and temperature exhibit the existence of intermolecular interaction. And this all parameter shows the solutesolvent interaction.
Carbohydrates; Vitamin C; Acoustical parameter; Volumetric parameter; Thermodynamical parameter; Molecular interaction
Carbohydrates are the most important source of energy in the living creature and it is mostly consumed by the humans. It performs an important role in humans to regulating of living throughout biologically based cycle [1]. And carbohydrates are the building blocks in living creature. Its molecules are the saccharides and they play a major role not only for livings but also in chemical process. Mono and Di-Saccharides are called to improve the form of water so it is behaved as a steadying agent for enzymes and protein [2]. Glucose is the example of saccharides and it is the simplest form of carbohydrate. Glucose is a simplest form of sugar which has mol. formula C6H12O6. The morpheme “-ose” is chemical classifier which indicates that belongs to a carbohydrates group. It has 6 carbon atoms and it is classified as a hexose, a sub group of monosaccharides. Glucose is made in plant during the photosynthesis process from water, carbon dioxide, in the presence of sunlight. Glucose is an omnipresent fuel in biology. It is boost up the energy level in the most organisms like bacteria, humans, etc. Glucose is the human body’s key source of energy [3]. Glucose presents in the human blood and it gives energy to the cells for metabolism. In blood, Glucose contains intercellular fluid, Interstitial Fluids (ISF), tears, saliva and urine [4]. Glucose is the main resource of energy for the brain and other cells; hence its obtainability affects psychological process. When it is low, psychological process to required mental efforts like self-control, wrong decision making is harmed [4].
As much as carbohydrate/glucose/saccharides important for body likewise vitamins also essential for living organisms. Carbohydrates/Glucose gives energy to the cell like that vitamins mandatory to balance the normal cellular and metabolic function of humans and animals body and it is a wide group of organic compounds. Vitamins are natural constituent of food and well-balanced diet supplies of all the required vitamins [5]. Vitamins are a wellknown group of compounds that are essential for human health. Organic chemical compound is called vitamins. Vitamins are as so many like vitamins A, B, B2, B5, B6, B9, B12, C (Ascorbic Acid), D and E. Ascorbic acid is a vitamin C. It is a colorless and dissolvable vitamin. The structure of L-ascorbic acid was first discovered by scientist Norman Haworth and for that he got a noble price in 1937 [6]. Ascorbic acid is essential to development of brain of unborn baby. It is also playing an important role in the health of adults like; boosting immunity power, repairs damage tissues etc. while its deficiency can cause major effect on the human brain progress, which cannot be remediable after birth and vitamin C supplementation [7].
Other than this all information we can also find the other parameters by using ultrasonic technique. The investigation of molecular nature and physic-chemical behavior of various liquid and their mixtures can be assessed by using ultrasonic characterization [8]. Ultrasonic method generally involves measuring the ultrasonic velocity of pure solution or mixture at different temperature and concentration [9]. Ultrasonic studies helps to characterizing acoustical, volumetric and elastic and thermodynamics behavior of various liquid mixtures. Ultrasonic waves propagate with frequency above 20 kHz [10]. So, by investigating we can find other acoustical, thermodynamic and volumetric parameters like thermal conductivity, Enthalpy, Specific heat ratio, adiabatic compressibility, Viscosity, Surface tension etc. and by using ultrasonic we can also find the inter molecular interaction between saccharides and vitamins at different temperature and concentration.
Other than this all information we can also find the other parameters by using ultrasonic technique. The investigation of molecular nature and physic-chemical behavior of various liquid and their mixtures can be assessed by using ultrasonic characterization [8]. Ultrasonic method generally involves measuring the ultrasonic velocity of pure solution or mixture at different temperature and concentration [9]. Ultrasonic studies helps to characterizing acoustical, volumetric and elastic and thermodynamics behavior of various liquid mixtures. Ultrasonic waves propagate with frequency above 20 kHz [10]. So, by investigating we can find other acoustical, thermodynamic and volumetric parameters like thermal conductivity, Enthalpy, Specific heat ratio, adiabatic compressibility, Viscosity, Surface tension etc. and by using ultrasonic we can also find the inter molecular interaction between saccharides and vitamins at different temperature and concentration. energy release in the form of ATP [3]. The interaction of glucose and vitamin C regulates blood sugar level in human body.
AR grade chemicals such as Glucose (CAS no.: 50-99-7) those have mol. formula C6H12O6 with mol. weight 180.16 g/mol and Ascorbic acid known as vitamin C (CAS no.: 50-81-7) having molecular weight is 176.12 g/mol, were access from Himedia Laboratory Private Limited, Mumbai. All compounds were used without processing. The concentration (0.02-0.2 mol/kg) of ascorbic acid in 0.2 M aq. glucose solution was different by weight. All the beakers and other equipment’s were clean with double distilled water and acetone shown in Figure 1. All the equipment’s dried before use [11].
Defining relation
Ultrasonic Velocity was deliberate by using pulse Echo overlap technique in 2 MHz. The interferometer was stuffed with the test solution and the temperature of the interferometer was maintained with the help of thermostat which circulate the water around the cell of interferometer [7]. From experimental value we can calculate the velocity, density of given solution (Table 1). But also, we can find the other volumetric, acoustical and thermodynamical parameter by using following standard formulas;
→ Adiabatic compressibility (β)=1/U2ρ
→ Acoustic Impedance(Z) = U ρ
→ Relative Association (RA) = = {( ρ/ρ0)(U0/U)1/3}
→ Internal Pressure (πi)= {T*α/KT}, Where α is the Thermal Expansion Coefficient and KT is the Isothermal Compressibility.
→ Free Length (Lf) = K (β) 1/2, Where K is the Jacobian temperature dependent constant.
→ Wada’s constant(W) = Vmβ-1/7
→Rao’s constant(R) = VmU1/3
→ Viscosity(η) = (Meff ×ρ2)^1/3 × U3/K×Ug2
→ Apparent molar volume(Vψ)= {M/ρ-[1000(ρ-ρ0)/mρρ0]}
→ Relaxation Strength (r)= {1 -(U/U∞)2},Where U∞= 1600 m/s.
Sr. No. | Apparatus | Description | Supplier | Precision |
---|---|---|---|---|
1 | Analog Velocity interferometer | Operates at 2MHz Frequency (Model F-81) |
Mittal Enterprises Pvt. Ltd., New Delhi | 0.0001 m/s |
2 | Specific Gravity Density Bottle | Density of mixture analyzed perfectly | Kings group Mumbai, Maharashtra | ± 2 × 10-2 kg/m3 |
3 | Digital Electronic Balance | Contech CA-34 | Wensar Company | ± 0.0001 gm |
4 | Thermostatic Water Bath | Regulating temperature of Water | Lab-Hosp instrumental Company Mumbai | ± 1 K temperature |
Table 1. Apparatus/Instruments used to complete the experimental work.
The knowing of molecular interaction between a solute and solvent and the packing efficiency of solute within the structure of solvents have been studied in aqueous and mixed aq. solutions [12]. When the glucose is dissolved in water, the volume of solution is almost equal to the sum of volume of crystal sugar and water [13].
Ultrasonic velocity
The ultrasonic velocity of the water was measured at various temperatures (283.15 K, 288.15 K, 293.15 K and 298.15 K) and the calculated value given in Tables 2 and 3. And after equating the calculated value and literature value it observed that the result is almost equal to the literature data. The ultrasonic velocity of Glucose at different concentration 0.02 M-0.2 M in the solution aqueous vitamin C solution of 0.2 M concentration at different temperature 283.15 K-298.15 K were measured and given in Table 4. It is examining that temperature and concentration affect the ultrasonic wave in existing system (Glucose+Water+Vitamin C). The observed data shows that the ultrasonic velocity of the solution is rising with increase in molarity and temperature shown in Figure 2. So,by increasing carbohydrates concentration in the aqueous vitamin C solution the ultrasonic velocity increases [13]. It is observed that molecular association is accountable for this alteration. This alliance is due to the Hydrogen bonding between solute and solvent molecules [10].
Temperature | Literature data | Current work data | ||
---|---|---|---|---|
Ultrasonic Velocity (U) | Density (ρ) | Ultrasonic Velocity (U) | Density (ρ) | |
K | meter/s | Kg/m3 | meter/s | Kg/m3 |
283.15 | 1447.379 | 999.789 | 1447.427 | 999.700 |
288.15 | 1466.125 | 999.202 | 1466.032 | 999.103 |
293.15 | 1481.615 | 998.188 | 1481.496 | 998.200 |
298.15 | 1498.211 | 997.032 | 1498.101 | 997.000 |
Table 2: Density and ultrasonic velocity of water at 283.15 K, 288.15 K, 293.15 K and 298.15 K temperature.
Short name | Abbreviations |
---|---|
kHz | Kilo Hertz |
ATP | Adenosine Triphosphate |
CAS | Chemical Abstract Service |
M | Molal Concentration in mol./kg |
MHz | Mega Hertz |
Table 3. List of abbreviations shown in the below table.
Conc. | Velocity(m/s) | Density (Kg/m3) | Free Length(m) | |||
---|---|---|---|---|---|---|
H2O | Vitamin C | H2O | Vitamin C | H2O | Vitamin C | |
283.15 K | ||||||
0 | 1447.4 | 1447.4 | 999.7 | 999.7 | 4.41237E-11 | 4.41237E-11 |
0.02 | 1456.6 | 1459.3 | 1007.736 | 1029.794 | 4.36707E-11 | 4.31294E-11 |
0.04 | 1460.2 | 1464.6 | 1009.1179 | 1030.112 | 4.3532E-11 | 4.29566E-11 |
0.06 | 1464.8 | 1469.6 | 1010.0545 | 1030.630 | 4.33747E-11 | 4.27991E-11 |
0.08 | 1471.6 | 1473.2 | 1010.878 | 1031.241 | 4.31741E-11 | 4.26813E-11 |
0.1 | 1476.9 | 1478.1 | 1011.5554 | 1032.397 | 4.29884E-11 | 4.25177E-11 |
0.12 | 1479.0 | 1480.4 | 1012.4389 | 1033.327 | 4.29075E-11 | 4.24332E-11 |
0.14 | 1480.3 | 1482.3 | 1012.9835 | 1034.097 | 4.2858E-11 | 4.23624E-11 |
0.16 | 1482.9 | 1484.1 | 1013.6875 | 1034.628 | 4.27683E-11 | 4.23002E-11 |
0.18 | 1485.9 | 1490.6 | 1014.3517 | 1035.451 | 4.26691E-11 | 4.20971E-11 |
0.2 | 1488.5 | 1493.2 | 1014.9694 | 1036.747 | 4.25822E-11 | 4.2005E-11 |
288.15 K | ||||||
0 | 1466.0 | 1466.2 | 999.103 | 999.103 | 4.398E-11 | 4.398E-11 |
0.02 | 1467.6 | 1468.8 | 1004.0106 | 1025.456 | 4.38249E-11 | 4.33291E-11 |
0.04 | 1472.2 | 1474.3 | 1005.3395 | 1026.160 | 4.36657E-11 | 4.31618E-11 |
0.06 | 1476.8 | 1477.8 | 1006.5368 | 1027.206 | 4.35214E-11 | 4.3028E-11 |
0.08 | 1479.4 | 1480.2 | 1007.4775 | 1028.173 | 4.34011E-11 | 4.29389E-11 |
0.1 | 1482.3 | 1483.6 | 1008.5235 | 1028.989 | 4.32937E-11 | 4.28229E-11 |
0.12 | 1486.2 | 1487.2 | 1009.1221 | 1030.291 | 4.31673E-11 | 4.26928E-11 |
0.14 | 1489.2 | 1491.2 | 1010.076 | 1031.298 | 4.306E-11 | 4.25632E-11 |
0.16 | 1490.2 | 1493.2 | 1010.9904 | 1032.074 | 4.30117E-11 | 4.24845E-11 |
0.18 | 1493.4 | 1497.6 | 1011.5101 | 1033.087 | 4.29085E-11 | 4.23378E-11 |
0.2 | 1496.3 | 1500.0 | 1012.6943 | 1034.002 | 4.2798E-11 | 4.22525E-11 |
293.15 K | ||||||
0 | 1481.4 | 1481.4 | 998.2000 | 998.2 | 4.39E-11 | 4.39423E-11 |
0.02 | 1483.6 | 1483.8 | 1001.794 | 1022.713 | 4.38012E-11 | 4.33451E-11 |
0.04 | 1486.8 | 1487.2 | 1002.878 | 1023.572 | 4.36833E-11 | 4.32278E-11 |
0.06 | 1490.2 | 1492.8 | 1003.717 | 1024.887 | 4.35654E-11 | 4.3038E-11 |
0.08 | 1493.4 | 1495.6 | 1005.798 | 1025.951 | 4.34265E-11 | 4.29352E-11 |
0.1 | 1495.8 | 1496.9 | 1006.307 | 1026.460 | 4.33464E-11 | 4.2913E-11 |
0.12 | 1497.6 | 1498.2 | 1007.391 | 1027.649 | 4.3271E-11 | 4.28252E-11 |
0.14 | 1498.8 | 1500.6 | 1008.368 | 1028.361 | 4.32154E-11 | 4.27418E-11 |
0.16 | 1501.0 | 1502.4 | 1009.617 | 1028.951 | 4.31242E-11 | 4.26785E-11 |
0.18 | 1502.2 | 1502.6 | 1010.661 | 1030.226 | 4.30687E-11 | 4.26464E-11 |
0.2 | 1504.9 | 1505.4 | 1011.104 | 1031.535 | 4.29808E-11 | 4.25514E-11 |
298.15 K | ||||||
0 | 1498.1 | 1498.1 | 997 | 997 | 4.38788E-11 | 4.38788E-11 |
0.02 | 1502.4 | 1500.6 | 998.8176 | 1019.743 | 4.37134E-11 | 4.33145E-11 |
0.04 | 1503.2 | 1504.2 | 999.6707 | 1020.412 | 4.36715E-11 | 4.31967E-11 |
0.06 | 1504.3 | 1505.4 | 1000.707 | 1021.607 | 4.36257E-11 | 4.3137E-11 |
0.08 | 1504.8 | 1506.8 | 1001.593 | 1022.893 | 4.35832E-11 | 4.30698E-11 |
0.1 | 1505.6 | 1507.6 | 1003.010 | 1023.897 | 4.35293E-11 | 4.30258E-11 |
0.12 | 1509.4 | 1513.1 | 1004.277 | 1024.966 | 4.33923E-11 | 4.28499E-11 |
0.14 | 1515.2 | 1518.6 | 1005.143 | 1025.760 | 4.32133E-11 | 4.26922E-11 |
0.16 | 1517.3 | 1521.4 | 1005.891 | 1026.738 | 4.31402E-11 | 4.25877E-11 |
0.18 | 1522.0 | 1523.8 | 1007.663 | 1027.466 | 4.29607E-11 | 4.24944E-11 |
0.2 | 1523.6 | 1528.6 | 1008.463 | 1028.451 | 4.28985E-11 | 4.23407E-11 |
Table 4. The value of velocity, density and specific heat at different concentration of glucose+0.2 M aqueous solution of vitamin C at different temperatures (282.15 K-298.15 K).
Conc. | Internal Pressure (Nm-2) |
Wada’s Constant (m3mole-1)(ms-1)-1/7 |
Rao’s Constant (m3mole-1)(ms-1)1/3 |
|||
---|---|---|---|---|---|---|
H2O | Vitamin C | H2O | Vitamin C | H2O | Vitamin C | |
283.15 K | ||||||
0 | 8.40197E+13 | 8.40197E+13 | 0.000384941 | 0.000384941 | 0.000202936 | 0.000202936 |
0.02 | 8.59228E+13 | 8.88549E+13 | 0.000386794 | 0.000507133 | 0.000203735 | 0.000266316 |
0.04 | 8.64666E+13 | 8.94961E+13 | 0.000388033 | 0.000508691 | 0.000204374 | 0.000267172 |
0.06 | 8.70596E+13 | 9.00977E+13 | 0.000388678 | 0.000510103 | 0.000204715 | 0.000267938 |
0.08 | 8.78074E+13 | 9.05624E+13 | 0.000389875 | 0.000511335 | 0.000205363 | 0.000268594 |
0.1 | 8.85044E+13 | 9.12286E+13 | 0.000391339 | 0.000512456 | 0.000206153 | 0.000269182 |
0.12 | 8.88388E+13 | 9.15915E+13 | 0.000392451 | 0.000513417 | 0.000206728 | 0.000269671 |
0.14 | 8.90442E+13 | 9.18965E+13 | 0.000393612 | 0.000514409 | 0.000207332 | 0.000270185 |
0.16 | 8.94051E+13 | 9.21589E+13 | 0.000394815 | 0.000515489 | 0.000207963 | 0.000270744 |
0.18 | 8.98009E+13 | 9.29785E+13 | 0.000396059 | 0.000516913 | 0.000208618 | 0.000271518 |
0.2 | 9.01517E+13 | 9.33985E+13 | 0.000397288 | 0.000517722 | 0.000209265 | 0.000271914 |
288.15 K |
||||||
0 | 8.71922E+13 | 8.71922E+13 | 0.000388394 | 0.000388394 | 0.000204892 | 0.000204892 |
0.02 | 8.79663E+13 | 9.07684E+13 | 0.000394643 | 0.000509946 | 0.000208054 | 0.000268041 |
0.04 | 8.85918E+13 | 9.14192E+13 | 0.000395403 | 0.000511338 | 0.000208445 | 0.000268771 |
0.06 | 8.91637E+13 | 9.19679E+13 | 0.000396177 | 0.000512371 | 0.000208844 | 0.000269328 |
0.08 | 8.96422E+13 | 9.23492E+13 | 0.000396991 | 0.000513329 | 0.000209268 | 0.000269817 |
0.1 | 9.00821E+13 | 9.28272E+13 | 0.000397729 | 0.000514455 | 0.000209646 | 0.000270407 |
0.12 | 9.05734E+13 | 9.33868E+13 | 0.000398694 | 0.000515387 | 0.000210163 | 0.000270879 |
0.14 | 9.10153E+13 | 9.39346E+13 | 0.000399469 | 0.000516466 | 0.000210563 | 0.000271441 |
0.16 | 9.12392E+13 | 9.42777E+13 | 0.000400103 | 0.000517484 | 0.000210877 | 0.000271966 |
0.18 | 9.16496E+13 | 9.49007E+13 | 0.000401038 | 0.000518628 | 0.000211376 | 0.000272564 |
0.2 | 9.21219E+13 | 9.52819E+13 | 0.000401733 | 0.000519591 | 0.000211725 | 0.000273067 |
293.15 K | ||||||
0 | 9.00614E+13 | 9.00616E+13 | 0.000389862 | 0.000389862 | 0.000205796 | 0.000205796 |
0.02 | 9.07458E+13 | 9.34645E+13 | 0.000396616 | 0.000512603 | 0.000209268 | 0.000269671 |
0.04 | 9.12283E+13 | 9.39508E+13 | 0.000397369 | 0.000513714 | 0.000209654 | 0.000270253 |
0.06 | 9.17023E+13 | 9.47429E+13 | 0.000398219 | 0.000514845 | 0.000210101 | 0.000270846 |
0.08 | 9.23198E+13 | 9.51939E+13 | 0.000398632 | 0.000515805 | 0.000210278 | 0.000271335 |
0.1 | 9.26438E+13 | 9.53054E+13 | 0.000399513 | 0.000516767 | 0.000210743 | 0.000271826 |
0.12 | 9.29806E+13 | 9.57077E+13 | 0.000400154 | 0.000517611 | 0.000211061 | 0.000272244 |
0.14 | 9.32391E+13 | 9.60715E+13 | 0.000400784 | 0.000518677 | 0.000211372 | 0.000272797 |
0.16 | 9.36472E+13 | 9.63504E+13 | 0.000401399 | 0.000519741 | 0.000211674 | 0.000273351 |
0.18 | 9.39113E+13 | 9.65421E+13 | 0.000402001 | 0.000520346 | 0.000211968 | 0.000273622 |
0.2 | 9.42697E+13 | 9.69863E+13 | 0.000402927 | 0.000521152 | 0.000212462 | 0.000274017 |
298.15 K | ||||||
0 | 9.30671E+13 | 9.30671E+13 | 0.000391509 | 0.000391509 | 0.000206811 | 0.000206811 |
0.02 | 9.37766E+13 | 9.63696E+13 | 0.000399063 | 0.000515538 | 0.000210775 | 0.000271473 |
0.04 | 9.39776E+13 | 9.68646E+13 | 0.000399713 | 0.000516753 | 0.000211098 | 0.000272119 |
0.06 | 9.42034E+13 | 9.71607E+13 | 0.000400298 | 0.000517503 | 0.000211381 | 0.000272478 |
0.08 | 9.44093E+13 | 9.74925E+13 | 0.000400934 | 0.000518235 | 0.000211695 | 0.000272824 |
0.1 | 9.46867E+13 | 9.77188E+13 | 0.000401387 | 0.000519028 | 0.000211897 | 0.000273209 |
0.12 | 9.52755E+13 | 9.84777E+13 | 0.000402118 | 0.000520232 | 0.000212275 | 0.000273852 |
0.14 | 9.60121E+13 | 9.91566E+13 | 0.000403122 | 0.000521522 | 0.000212812 | 0.000274544 |
0.16 | 9.63355E+13 | 9.96342E+13 | 0.000403892 | 0.000522535 | 0.000213209 | 0.000275066 |
0.18 | 9.71337E+13 | 1.00056E+14 | 0.000404537 | 0.000523635 | 0.000213529 | 0.000275641 |
0.2 | 9.74222E+13 | 1.00745E+14 | 0.000405256 | 0.000524819 | 0.000213895 | 0.000276268 |
Table 5. The value of internal pressure, Wada’s constant and Rao’s constant at different concentration of glucose + 0.2M aq. solution of vitamin C at various temperatures (282.15 K-298.15 K).
Density
The density of water was measured at various temperatures 283.15 K, 288.15 K, 293.15 K and 298.15 K and calculated value given in Table 2. And after comparing the calculated value and literature value it observed that the result is almost equal to the density of water at literature data. Density of glucose at different concentration 0.02 M-0.2 M in the solution aqueous vitamin C solution at 0.2 M of concentration. The observed data shows that density of the solution is rising with increase in concentration of Glucose in the solution of aq. vitamin C at different temperature but the density is fall off with increases in temperature for same molarity depicted in Figure 3. The relationship between concentration and density for this particular is a linear one [3].
Free length
Free length is a thermodynamical parameter because it is depending on the temperature i.e., Jacobian temperature dependent constant. The free length of the glucose and aqueous vitamin C solution at different concentration (0.02 M-0.2 M) at different temperature (283.15 K-298.15 K) is decrease with respect to increase in molarity and temperature that Figure 4 shows, because concentration of solute indicate that the intermolecular interaction between solute and solvent suggest the arrangement after adding the solute and increase in temperature shows that the spacing in the structure [14].
Internal pressure
Internal pressure is useful to understand the intermolecular interaction and structure of the solution. Figure 5 shows that the, internal pressure of the glucose at different temperature (283.15 K-298.15K) at different concentration (0.02 M-0.2 M) is increase with increase in temperature and molarity. This indicates that the binding force between solute and solvent is become stronger and it shows that there is strong intermolecular interaction [15].
Wada’s constant
Wada’s Constant also called as molar compressibility. Figure 6 indicate that the Wada’s constant increase with arising in temperature of 283.15 K-298.15 K and also increase with respect to increase in molality of mixture. The increasing trend shows that the availability of more components and closely packing of medium and there is an increasing the interaction [16].
Rao’s constant
Figure 7 shows that the solution of Glucose and Vitamin C at 0.2 M of different concentration (0.02 M-0.2 M) and different temperature (283.15 K-298.15 K) is increasing with rising in temperature and concentration because the atoms are closely packed [17]. And Rao’s constant also called as sound molar velocity is shown in Table 5.
Viscosity
Viscosity is the important parameter which shows the strong bond between two components. The viscosity of the glucose and aqueous vitamin C solution at different temperature 283.15 K-298.15 K and concentration 0.02-0.2 molality is increasing with increase in temperature and concentration (Figure 8). This happen because strong interaction between molecules of solute and solvent because of that cohesive force is increase [18].
Apparent molal volume
Solute and solvent interaction confirm with the positive result of apparent molal volume parameter. The solution of glucose and vitamin C at different concentration (0.02 M-0.2 M) and at various temperatures (283.15 K-298.15 K) shown in Figure 9 is increase with respect to increase in temperature and concentration [19].
Adiabatic compressibility
Compressibility is a very microscopic observable parameter. It can be used to identify the solvation property of solute in aqueous solution. Figure 10 shows that at different concentration and temperature of the solution of Glucose and aqueous vitamin C is decrease with increase in temperature and concentration. The decrease in value of compressibility and rising in value of velocity shows that the interaction between solute and solvent due to which structural arrangements of other molecules affected is shown in Table 6 [20].
Conc. | Viscosity (Kgm-1s-1) |
Apparent Molal Volume ((m3mole-1) |
Adiabatic Compressibility (m2N-1) |
|||
---|---|---|---|---|---|---|
H2O | Vitamin C | H2O | Vitamin C | H2O | Vitamin C | |
283.15 K | ||||||
0 | 5.36994E-05 | 5.36994E-05 | 0 | 0 | 4.77466E-10 | 4.77466E-10 |
0.02 | 0.007502068 | 0.00798734 | -0.3986565 | -1.4614297 | 4.67706E-10 | 4.56183E-10 |
0.04 | 0.007603065 | 0.008105055 | -0.2332117 | -0.7381336 | 4.64742E-10 | 4.52536E-10 |
0.06 | 0.007711511 | 0.008217928 | -0.1707301 | -0.5001643 | 4.61388E-10 | 4.49224E-10 |
0.08 | 0.007844309 | 0.008310315 | -0.1380848 | -0.3822657 | 4.57131E-10 | 4.46755E-10 |
0.1 | 0.007970228 | 0.008436256 | -0.1170569 | -0.3166321 | 4.53207E-10 | 4.43336E-10 |
0.12 | 0.008041294 | 0.008514448 | -0.1047069 | -0.2710951 | 4.51502E-10 | 4.41575E-10 |
0.14 | 0.008092007 | 0.008583476 | -0.0935164 | -0.2374922 | 4.50461E-10 | 4.40103E-10 |
0.16 | 0.008167542 | 0.008645525 | -0.0860897 | -0.2108877 | 4.48577E-10 | 4.38811E-10 |
0.18 | 0.008248925 | 0.008798656 | -0.0800932 | -0.1917422 | 4.46499E-10 | 4.34608E-10 |
0.2 | 0.008323564 | 0.008888873 | -0.0750662 | -0.1785522 | 4.44682E-10 | 4.32709E-10 |
288.15 K | ||||||
0 | 5.46355E-05 | 5.46355E-05 | 0 | 0 | 4.65696E-10 | 4.65696E-10 |
0.02 | 0.007451971 | 0.007903178 | -0.2444399 | -1.2859471 | 4.62416E-10 | 4.52014E-10 |
0.04 | 0.007562263 | 0.008019752 | -0.1550446 | -0.6596091 | 4.59062E-10 | 4.48528E-10 |
0.06 | 0.007665349 | 0.008122466 | -0.1230237 | -0.4562223 | 4.56034E-10 | 4.45752E-10 |
0.08 | 0.007754876 | 0.008200282 | -0.1038189 | -0.3535674 | 4.53517E-10 | 4.43908E-10 |
0.1 | 0.007839504 | 0.008293054 | -0.0933142 | -0.2905292 | 4.51276E-10 | 4.41513E-10 |
0.12 | 0.007931529 | 0.008399964 | -0.0826336 | -0.2523176 | 4.48644E-10 | 4.38835E-10 |
0.14 | 0.008017396 | 0.008505267 | -0.0774881 | -0.2230136 | 4.46416E-10 | 4.36175E-10 |
0.16 | 0.008070641 | 0.008578917 | -0.0733765 | -0.1996734 | 4.45414E-10 | 4.34563E-10 |
0.18 | 0.008151685 | 0.008697343 | -0.0680272 | -0.1827472 | 4.43279E-10 | 4.31567E-10 |
0.2 | 0.008244164 | 0.008778283 | -0.0669871 | -0.1687352 | 4.40999E-10 | 4.29829E-10 |
293.15 K | ||||||
0 | 5.51824E-05 | 5.51824E-05 | 0 | 0 | 4.56438E-10 | 4.56438E-10 |
0.02 | 0.007507944 | 0.007936543 | -0.1795468 | -1.2004581 | 4.53511E-10 | 4.44115E-10 |
0.04 | 0.007595373 | 0.008027025 | -0.1166476 | -0.6206556 | 4.51073E-10 | 4.41715E-10 |
0.06 | 0.007681745 | 0.008164023 | -0.0916003 | -0.4346024 | 4.48642E-10 | 4.37845E-10 |
0.08 | 0.007791738 | 0.008251073 | -0.0944262 | -0.3385545 | 4.45785E-10 | 4.35755E-10 |
0.1 | 0.007856972 | 0.008286927 | -0.0805322 | -0.2756455 | 4.44142E-10 | 4.35306E-10 |
0.12 | 0.007925494 | 0.008367717 | -0.0759889 | -0.2390673 | 4.42599E-10 | 4.33526E-10 |
0.14 | 0.007982674 | 0.008442257 | -0.0719835 | -0.2097574 | 4.41462E-10 | 4.31838E-10 |
0.16 | 0.008062686 | 0.008504086 | -0.0706306 | -0.1869503 | 4.39601E-10 | 4.30562E-10 |
0.18 | 0.008121432 | 0.008554304 | -0.0684472 | -0.1728424 | 4.38469E-10 | 4.29913E-10 |
0.2 | 0.008193336 | 0.008643318 | -0.0637509 | -0.1616964 | 4.36682E-10 | 4.27999E-10 |
298.15 K | ||||||
0 | 5.58177E-05 | 5.58177E-05 | 0 | 0 | 4.46913E-10 | 4.46913E-10 |
0.02 | 0.007591429 | 0.007994178 | -0.0910811 | -1.1183369 | 4.43557E-10 | 4.35491E-10 |
0.04 | 0.007637905 | 0.008083966 | -0.0668104 | -0.5751606 | 4.42773E-10 | 4.33125E-10 |
0.06 | 0.007688366 | 0.008146747 | -0.0617539 | -0.4024763 | 4.41771E-10 | 4.31929E-10 |
0.08 | 0.007735971 | 0.008215153 | -0.0573176 | -0.3171972 | 4.40911E-10 | 4.30585E-10 |
0.1 | 0.007794809 | 0.008268062 | -0.0599274 | -0.2633083 | 4.39825E-10 | 4.29706E-10 |
0.12 | 0.007897847 | 0.008399029 | -0.0603866 | -0.2278882 | 4.37057E-10 | 4.26199E-10 |
0.14 | 0.008022079 | 0.008518818 | -0.0578638 | -0.2007021 | 4.33458E-10 | 4.23068E-10 |
0.16 | 0.008087599 | 0.008610086 | -0.0552336 | -0.1813946 | 4.31994E-10 | 4.21000E-10 |
0.18 | 0.008224211 | 0.008693088 | -0.0587872 | -0.1650557 | 4.28406E-10 | 4.19157E-10 |
0.2 | 0.008285707 | 0.008817132 | -0.0568294 | -0.1531902 | 4.27167E-10 | 4.16138E-10 |
Table 6. The value of viscosity, apparent molal volume and adiabatic compressibility at different concentration in glucose + 0.2 M aqu. Solution of Vitamin C at different temperatures (282.15 K-298.15 K)
Conc. | Acoustic Impedance (Kg-m2s-1) |
Relative association | Relaxation Strength | |||
---|---|---|---|---|---|---|
H2O | Vit C | H2O | Vit C | H2O | Vit C | |
283.15 K | ||||||
0 | 1446992.77 | 1446992.77 | 1 | 1 | 0.18162307 | 0.18162307 |
0.02 | 1467868.25 | 1502469.44 | 1.008642058 | 1.027372155 | 0.17121735 | 0.16848398 |
0.04 | 1473554.32 | 1508743.97 | 1.009185253 | 1.026369075 | 0.16706997 | 0.16204284 |
0.06 | 1479582.37 | 1514676.56 | 1.009060236 | 1.025714762 | 0.16179795 | 0.15628886 |
0.08 | 1487062.19 | 1519307.62 | 1.008460784 | 1.025481565 | 0.15468065 | 0.15212736 |
0.1 | 1493986.40 | 1526009.01 | 1.007800139 | 1.025508479 | 0.14793254 | 0.14654506 |
0.12 | 1497457.87 | 1529737.43 | 1.008193649 | 1.025905422 | 0.14546153 | 0.14391243 |
0.14 | 1499589.37 | 1532863.40 | 1.008438557 | 1.026226826 | 0.14394829 | 0.14169039 |
0.16 | 1503258.01 | 1535513.29 | 1.008551339 | 1.026338818 | 0.14094907 | 0.13960461 |
0.18 | 1507245.47 | 1543538.17 | 1.008541601 | 1.025653513 | 0.13751631 | 0.13198169 |
0.2 | 1510781.95 | 1547884.90 | 1.008572373 | 1.026393031 | 0.13451865 | 0.12925440 |
288.15 K0 | ||||||
0 | 1464716.96 | 1464716.96 | 1 | 1 | 0.16044928 | 0.16044928 |
0.02 | 1473509.04 | 1506200.90 | 1.004548745 | 1.025729789 | 0.15862606 | 0.15726452 |
0.04 | 1479859.74 | 1512560.57 | 1.004880372 | 1.025227749 | 0.15360000 | 0.15129843 |
0.06 | 1485648.31 | 1518036.58 | 1.005167471 | 1.025385456 | 0.14899375 | 0.14688222 |
0.08 | 1490462.21 | 1521902.56 | 1.005335545 | 1.025802773 | 0.14506860 | 0.14414373 |
0.1 | 1494934.38 | 1526629.10 | 1.005722593 | 1.025827143 | 0.14171355 | 0.14018425 |
0.12 | 1499757.26 | 1532250.11 | 1.005438518 | 1.026300909 | 0.13719123 | 0.13602975 |
0.14 | 1504205.17 | 1537665.91 | 1.005712696 | 1.026430038 | 0.13370443 | 0.13160898 |
0.16 | 1506577.89 | 1541093.79 | 1.006397924 | 1.026697844 | 0.13254060 | 0.12904443 |
0.18 | 1510589.18 | 1547193.61 | 1.006195556 | 1.026689159 | 0.12881110 | 0.12385719 |
0.2 | 1515375.49 | 1551003.30 | 1.006704371 | 1.027058694 | 0.12533081 | 0.12109375 |
293.15 K | ||||||
0 | 1478829.307 | 1478829.30 | 1 | 1 | 0.14264437 | 0.14264434 |
0.02 | 1486262.32 | 1517502.88 | 1.003126331 | 1.024027529 | 0.14020743 | 0.13997560 |
0.04 | 1491079.159 | 1522257.61 | 1.003490408 | 1.024106012 | 0.13649443 | 0.13602975 |
0.06 | 1495739.52 | 1529952.50 | 1.003565722 | 1.024137755 | 0.13254060 | 0.12951100 |
0.08 | 1502079.745 | 1534413.21 | 1.004923421 | 1.024560598 | 0.12878777 | 0.12624243 |
0.1 | 1505234.609 | 1535584.75 | 1.004898244 | 1.024977339 | 0.12600873 | 0.12577514 |
0.12 | 1508668.911 | 1539624.93 | 1.005577224 | 1.025662491 | 0.12390430 | 0.12320185 |
0.14 | 1511343.307 | 1543171.87 | 1.006284562 | 1.025833722 | 0.12249943 | 0.12039048 |
0.16 | 1515476.703 | 1545896.58 | 1.007029452 | 1.026003714 | 0.11987457 | 0.11827968 |
0.18 | 1518216.156 | 1548018.63 | 1.007811231 | 1.027229781 | 0.11851373 | 0.11804423 |
0.2 | 1521651.606 | 1552460.17 | 1.007640412 | 1.027987255 | 0.11529515 | 0.11522460 |
298.15 K | ||||||
0 | 1493606.69 | 1493606.69 | 1 | 1 | 0.12331773 | 0.12331773 |
0.02 | 1500623.56 | 1530227.09 | 1.000866615 | 1.022243846 | 0.11827954 | 0.11739048 |
0.04 | 1502704.99 | 1534904.93 | 1.001543724 | 1.022098088 | 0.11733975 | 0.11616498 |
0.06 | 1505064.08 | 1537927.32 | 1.002404672 | 1.023022389 | 0.11642091 | 0.11475423 |
0.08 | 1507197.59 | 1541295.44 | 1.003114149 | 1.023992936 | 0.11545975 | 0.11310693 |
0.1 | 1510132.91 | 1543627.26 | 1.004355756 | 1.024816583 | 0.11451901 | 0.11216493 |
0.12 | 1515855.83 | 1550774.76 | 1.004779234 | 1.024665299 | 0.11004360 | 0.10579335 |
0.14 | 1522792.14 | 1557104.89 | 1.004405258 | 1.024331938 | 0.10342773 | 0.09987343 |
0.16 | 1525937.25 | 1561669.25 | 1.004710886 | 1.024633731 | 0.10105898 | 0.09631210 |
0.18 | 1533663.23 | 1565653.91 | 1.005377151 | 1.024732116 | 0.09512343 | 0.09298185 |
0.2 | 1552460.17 | 1572090.31 | 1.005823501 | 1.024639046 | 0.09321993 | 0.08725860 |
Table 7. The value of acoustic impedance, relative association and relaxation strength at different concentration in glucose + 0.2 M aq. solution of vitamin C at different temperatures (282.15 K-298.15 K)
Acoustic impedance
Figure 11 shows that the projection of acoustic impedance in aqueous Glucose+Vitamin C solution at different temperature and concentration. The trends increase with rise in molarity and concentration because the value of density increases so that the value of impedance increases linearly [21].
Relative association
Graphical trends of Figure 12 exhibits Relative association of the solution of Glucose in aqueous Vitamin C at temperature of 283.15 K-298.15 K and concentration of 0.02 M-0.2 M is increasing with increase in molality and temperature. The increasing value shows that the both solute-solute and solute-solvent interaction happen in mixture [16].
Relaxation strength
According to trend, the relaxation strength in Glucose aqueous Vitamin C solution at different temperature and concentration is decreasing with increase in temperature and concentration and Figure 13 shows the result. It is directly proportional to the adiabatic compressibility. When we increase the concentration of solute in solvent then the value decreases and it shows solute-solvent interaction in the solution. It happens due to the complex solvent formation around the solute [22].
We find the ultrasonic velocity and density of the glucose at different concentration 0.02 M-0.2 M in the 0.2 M aqueous Vitamin C solution at different temperature ranging from 283.15 K-298.15 K. Related to velocity and density we calculate the other volumetric, acoustical and thermodynamic parameter like free length, internal pressure, Wada’s constant, Rao’s constant, viscosity, apparent molal volume, adiabatic compressibility, acoustic impedance, relative association. The parameters velocity, density, internal pressure, wada’s constant, rao’s constant, viscosity, apparent molal volume, acoustic impedance, relative association are increases with increase in concentration while Free Length, Adiabatic Compressibility, Relaxation Strength are decreases with increases in concentration. This behavior of the system concludes that there is a strong bond between them. We further conclude that, this solution control and regulate the blood sugar level in human body. And also maintain the growth of brain in human babies.
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