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International Journal of Technical Research and Applications e-ISSN: 2320-8163,
www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122
116 | P a g e
STUDY OF MOLAR REFRACTION AND
POLARISABILITY CONSTANT OF AQUEOUS
SOLUTIONS OF KCL AND KBRO3 AT DIFFERENT
TEMPERATURES.
*Arun B. Nikumbh, Meenakshi V. Rathi,
P.G. and Research Department of Chemistry, S. S. G. M. College, Kopargaon (M. S.), India-423601
P.G. Department of Chemistry, RNC Arts, JDB Commerce, NSC Science College, Nasik Road, Nasik.
aob.nikumbh@gmail.com, meenakship2@gmail.com
Abstract: Densities and Refractive Indices of solutions of
potassium bromate (KBrO3) have been studied in water and
0.1%, 0.2%, 0.3%, 0.4% and 0.5% (w/v) aqueous solution of
KCl with temperature in the range T = 298.15˚K- 313.15˚K. The
data obtained is utilized to determine Specific Refraction (RD)
and Molar Refraction (RM) of solutions. The values of Refractive
indices, Molar Refraction (RM) and Molar Polarisability (α)
constant are found to be decreased with decreasing concentration
of solute in solvent and these results are also interpreted in terms
of interaction in salt solution. It has been verified that Molar
Refraction is additive and constitutive property.
Key Words: Refractive index, Molar Refraction and Molar
Polarisability.
I. INTRODUCTION
The molar refractivity is a measure of the polarisability of
the molecule[1]. The study of specific refractivity, molar
refractivity and polarisability of salt solutions plays a vital role
not only in chemical but also in engineering, medical and
biotechnical field. The best part with measurement of
refractive index is that it can be measured easily with a high
degree of accuracy.
Potassium bromate has been widely used in the oxidation
of many organic compounds in acidic medium. This oxidation
was recognized as friendly to the environment compared to the
oxidation carried out by transition metal containing reagents
such as chromate, permanganate, cerium and ruthenium salts.
Idris S.O. et al.[2] describe the kinetics of the oxidation of L-
Methionine by potassium bromate in hydrochloric acid
medium. The kinetics and mechanism of the oxidation of
Tartaric acid by potassium bromate in perchloric acidic
medium was also studied[3]. A combination of sulfuric acid
and potassium bromate in the presence of SiO2 were used as
effective oxidizing agent for the oxidation of alcohol to its
corresponding aldehyde and ketone derivatives in various
organic solvents with good yield[4]. Potassium bromate as an
oxidizing agent in a Titania-based Ru CMP slurry was studied
by S. Noyel Victoria[5]. Potassium bromate and Thio-
glycolate are the two compounds used worldwide as hair
curling solutions. The toxic effect of KBrO3 on
vestibuloocular reflex system of human was studied[6].
Optical dispersion and Molar refractivities of Alkali Halide
crystals and aqueous solutions were studied by A. Penzkofer,
H. Glas[7]
Measurement of refractive index is an essential and
important work to study the thermodynamic and other
physical properties such as specific refractivity, molar
refractivity and polarisability of solutions which provide
information about the molecular structure of the components
used in the solutions. The molar refractivity reflects
arrangements of the electron shells of ions in molecule and
yields information about the electronic polarization of ions.
The present paper deals with the study of molar refraction
and polarisability constant of KBrO3 in aqueous KCl at
different temperatures.
II. EXPERIMENTAL
A. Materials
The chemicals (KCl and KBrO3) were of high purity
(ACS reagent ≥ 99.0%) obtained from Sigma Aldrich, used
directly without further purification. Potassium bromate and
potassium chloride are commercially available in the form of
white crystals. Water used for solution preparation was triply
distilled with specific conductance of < 10-6
S .cm-1
.
Aqueous solutions of KCl of different percentage were
prepared by dissolving an appropriate amount by weight of
KCl in appropriate volume of water (w/v). The different
concentrations of KBrO3 in KCl were prepared by diluting the
stock solution. All weighing were done on electronic Contech
balance having accuracy (0.0001g).
B. Density measurements
Density measurements were performed using bi-capillary
pycnometer. The pycnometer was calibrated by measuring the
densities of triple distilled water. The density was measured
with an uncertainty of ± 1.48 × 10-4
g.cm-3
. The temperatures
were measured with an uncertainty of ± 0.01˚K.
C. Refractive index measurements
Refractive indices of different solutions were measured
with the help of Abbe’s refractometer. The refractive indices
values are referred to a wavelength of 589.3 nm (Na, D-line).
The temperature of prism box was maintained constant at
required temperature by circulating water from thermostat.
The refractometer was calibrated by glass test pieces of known
refractive indices supplied with the instrument.
International Journal of Technical Research and Applications e-ISSN: 2320-8163,
www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122
117 | P a g e
III. DATA EVALUATION
The densities of solutions were determined from the
relation as
d = …1
Where ‘M’ is mass of solution in grams and ‘V’ is the volume
of solution filled in the bi-capillary pycnometer in cubic
centimeters.
The Electronic polarization (E), Specific Refraction (RD),
Molar refraction of solution (RM) and Polarisability constant
(α) of salt solutions were determined by following formulae[
8-12].
E = n2
…2
RD = …3
RM = × …4
RM = π N α …5
Where ‘n’ is refractive index of solutions, ‘Xi’ is the mole
fractions of water, KCl and KBrO3; ‘Mi’ is the molecular
weights of water, KCl and KBrO3; ‘N’ is Avogadro’s number.
IV. RESULTS AND DISCUSSION
The present investigation includes the measurement of
density and refractive index of salts in water at different
temperatures is given in Table No. 1 and 2. The values of
densities and refractive indices of KCl and KBrO3 in water
increases with increase in concentration at all temperatures
under investigation. The values however decrease with
increase in temperature. The increase in concentration means
increase in molar mass of salt and hence density increases.
The increase in refractive index with increase in concentration
is due to decrease in angle of refraction or increase in angle of
incidence. The decrease in density with increase in
temperature is due to increase in molar volume of solvent.
However the decrease in refractive index is due to the fact that
the solute-solute and solute-solvent interactions weaken with
increase in temperature.
Densities followed the order KBrO3>KCl for the same
concentration of the salt. This is due to relative salvation,
corresponding resultant volumes of system and molar mass of
these salts.
The densities of both the salt solutions increased with
increase in concentration in a given solution, which is because
of strengthening of solute-solvent interactions. The refractive
index of various solutions shows a linear relationship[13] with
concentrations of potassium salts and is tabulated in Table No.
3, 4, 5, 6 and 7.
Temperature dependent quantity, specific refraction (RD)
that characterizes electronic polarizability of a substance. This
increasing magnitude RD indicates strong solute-solvent
interactions[14]. The salts under investigation are ionic. The
molar refractivity values for individual cations and anions are
measure of their respective deformabilities. On the basis of the
results of Fajan’s and co-workers [15] it can be concluded that
(a) The refractivity of anions is lowered by neighboring
cations. It is lowered more in the presence of stronger
electric field of the cation (a smaller radius and a
greater charge) and more polarizable anion.
(b) The refractivity of cations is increased by the
neighboring anions. Anions are thus more consolidated
by cations and the electron shell of the cation is less
rigid due to the effect of anions.
(c) The combination of ions to form molecules or crystals
is then accompanied by a net decrease in the
refractivity Δ [RM]. When consolidating effect of the
cation on the anion outweighs the loosening effect of
the anion on the cation and vice versa.
The additivity of the ionic refractivities in aqueous solutions at
infinite dilution has been confirmed by Fajan’s[16].The close
perusal of present investigation shows that there is increase in
polarizability as well as molar refraction with increase in
concentration of salts. This may be due to dispersion force. It
is the molecular force which arises from temporary dipole
moment. The cumulative dipole-dipole interaction may create
weak dispersion force resulting in increase in molar refraction
and polarizability. Table No. 8 shows positive values of Δ RM.
The molar refraction values of KBrO3 in 0.5% KCl are higher
than in KBrO3 in water at all temperatures under investigation.
V. CONCLUSIONS
From the data it can be concluded that
1. The higher values of densities of KBrO3 than KCl are
due to the relative salvation, corresponding relative
volumes of system and molar mass of the salts.
2. The increase in densities with concentration may be
due to strengthening of solute-solvent interactions.
3. The increase in polarizability as well as molar
refraction with increase in concentration of salts is
due to dispersion force.
4. This increasing magnitude of RD indicates strong
solute-solvent interactions.
5. The molar refraction values of KBrO3 in 0.5% KCl
are higher than in KBrO3 in water, shows molar
refraction is additive as well as constitutive property.
ACKNOWLEDGEMENT
Authors would like to thank Dr. B. B. Nighot, Principal, S. S.
G. M. College, Kopargaon (M. S., India - 423601) for
providing necessary laboratory facilities. Authors would also
like to thank Dr.R.M.Kulkarni
Principal, RNC Arts, JDB Commerce, NSC Science College
,Nasik Road, Nasik for his motivation for research.
REFERENCES
[1] P. Pacak, ‘Molar refractivity and interactions in solutions I.
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489-500.
[2] Idris S.O; Ibrahim, A.P; Iyun J.F and Mohammed, Y., ‘Kinetics
and mechanism of oxidation of l – methionine by potassium
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Applied Science Research, (2010), 2 (5): 355-362.
[3] Usha Kushwaha, Amita Singh, Anil Kumar, A. K. Singh and
Firoz Khan, ‘A kinetic and mechanistic study of oxidation of
tartaric acid by potassium bromate in perchloric acid medium
International Journal of Technical Research and Applications e-ISSN: 2320-8163,
www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122
118 | P a g e
catalysed by Ru (III)’, Journal of Chemical and
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[4] B. F. Mirjalili, M. A. Zolfigol, A. Bamoniri, Z. Zaghaghi, A.
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[5] S. Noyel Victoria, Pranav P. Sharma, Ian Ivar Suni, and S.
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Letters, (2010), 13, (11): 385-387.
[6] Yi-Ho Young, Jiunn-Jye Chuu, Shing-Hwa Liu, and Shoei-Yn
Lin-Shiau, ‘Toxic effects of potassium bromate and
thioglycolate onvestibuloocular reflex systems of guinea pigs
and humans, Toxicology and Applied Pharmacology (2001),
177: 103–111.
[7] Penzkofer, H. Glas and J. Schmail, ‘Optical dispersion and
molar refractivities of alkali halide crystalals and aqueous
solution,’ Chemical Physics, (1982), 70: 47-54.
[8] Samuel H. Maron and Carl F. Prutton, ‘Principle of Physical
Chemistry’, 4th
edition, Amerind publishing Co. Pvt. Ltd.,
(1972): 691.
[9] W. M. B. M. Yunus and A. B. A. Rahman, ‘Refractive index of
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[10] H. A. Lorentz, ‘The theory of electons’ Dover, New York, NY,
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[11] A. F. Fucaloro,‘Reporting molar refraction’, Journal of
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[12] S. D. Deosarkar, M. L. Narwade, H. G. Jahagirdar and K. M.
Khedkar, ‘The measurement of molar refraction and
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[13] A. Kumar, ‘Estimates of internal pressure and molar refraction
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[14] Bhanupriya, R. P. Rajwade and R. Pande, ‘Densities,
Refractive indices and excess properties of N-p-
tolylbenzohydroxamic acid in dimethyl sulfoxide at 288.15 to
313.15K’, Journal of Solution Chemistry, (2009), 38, (9):1173-
1181.
[15] Fajans.K. and Luhdemann, R., Z. Phys.Chem,‘Refractometric
investigations.XLIII.Non additivity of the equivalent refraction
of strong electrolytes at high concentration.’ (1935), 29:150.
[16] Fajans.K Luhdemann,R., Z.Phys.Chem. Refraction and
dispersion of gases and vapours;General Introduction(1934),
B24,103-54.
Table-1: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E),
Molar Refraction (RM) and Polarisability constant (α) of KCl in water at different
temperatures.
Conc. of
aqueous KCl in
percentage
Density, ‘d’
(g.cm-3
)
Refractive
index, (n)
Electronic
polarization
(E)
Specific Refraction
(RD ),
(g-1
.cm3
)
Molar Refraction
(RM ),
(cm3
.mol-1
)
Polarisability
constant ( α ) ×
10-23
(cm3
.mol-1
)
298.15˚K
0.1 0.99712 1.3326 1.7758 0.2061 3.7120 0.1472
0.2 0.99786 1.3327 1.7761 0.2060 3.7131 0.1472
0.3 0.99873 1.3329 1.7766 0.2059 3.7146 0.1473
0.4 0.99953 1.3331 1.7772 0.2058 3.7165 0.1474
0.5 1.00033 1.3332 1.7774 0.2057 3.7173 0.1474
303.15˚K
0.1 0.99572 1.3321 1.7745 0.2061 3.7111 0.1472
0.2 0.99673 1.3322 1.7749 0.2059 3.7122 0.1472
0.3 0.99746 1.3323 1.7750 0.2058 3.7133 0.1473
0.4 0.99826 1.3324 1.7753 0.2057 3.7141 0.1473
0.5 0.99931 1.3325 1.7756 0.2056 3.7145 0.1473
308.15˚K
0.1 0.99417 1.3313 1.7724 0.2059 3.7098 0.1471
0.2 0.99518 1.3314 1.7726 0.2058 3.7114 0.1471
0.3 0.99592 1.3316 1.7732 0.2058 3.7119 0.1472
0.4 0.99672 1.3317 1.7734 0.2056 3.7128 0.1472
0.5 0.99755 1.3319 1.7740 0.2056 3.7140 0.1473
313.15˚K
0.1 0.99250 1.3307 1.7708 0.2059 3.7089 0.1470
0.2 0.99350 1.3309 1.7713 0.2059 3.7108 0.1470
0.3 0.99438 1.3310 1.7716 0.2057 3.7116 0.1472
0.4 0.99518 1.3312 1.7721 0.2057 3.7124 0.1473
0.5 0.99616 1.3313 1.7724 0.2055 3.7136 0.1473
International Journal of Technical Research and Applications e-ISSN: 2320-8163,
www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122
119 | P a g e
Table-2: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E),
Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in water at different
temperatures.
Conc. of KBrO3
in water
(mol.dm-3
)
Density, ‘d’
(g.cm-3
)
Refractive
index, (n)
Electronic
polarization
(E)
Specific Refraction
(RD ),
(g-1
.cm3
)
Molar Refraction
(RM ),
(cm3
.mol-1
)
Polarisability
constant ( α ) ×
10-23
(cm3
.mol-1
)
298.15˚K
0.0035 0.99821 1.3325 1.7757 0.2058 3.7064 0.1469
0.0105 1.00023 1.3326 1.7758 0.2054 3.7032 0.1468
0.0215 1.00365 1.3327 1.7762 0.2048 3.6981 0.1467
0.0365 1.00844 1.3330 1.7769 0.2040 3.6915 0.1464
303.15˚K
0.0035 0.99712 1.3321 1.7746 0.2058 3.7063 0.1470
0.0105 0.99934 1.3322 1.7748 0.2054 3.7030 0.1468
0.0215 1.00261 1.3323 1.7750 0.2048 3.6977 0.1466
0.0365 1.00677 1.3324 1.7753 0.2040 3.6916 0.1464
308.15˚K
0.0035 0.99493 1.3313 1.7724 0.2058 3.7062 0.1469
0.0105 0.99719 1.3314 1.7726 0.2054 3.7026 0.1468
0.0215 1.00073 1.3315 1.7730 0.2047 3.6970 0.1466
0.0365 1.00557 1.3317 1.7737 0.2038 3.6899 0.1463
313.15˚K
0.0035 0.99338 1.3307 1.7708 0.2058 3.7060 0.1469
0.0105 0.99563 1.3308 1.7710 0.2053 3.7021 0.1468
0.0215 0.99929 1.3309 1.7713 0.2047 3.6958 0.1465
0.0365 1.00436 1.3311 1.7718 0.2037 3.6873 0.1462
Table-3: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E),
Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in 0.1% KCl at different
temperatures.
Conc. of KBrO3
in water
(mol.dm-3
)
Density, ‘d’
(g.cm-3
)
Refractive
index, (n)
Electronic
polarization
(E)
Specific Refraction
(RD ),
(g-1
.cm3
)
Molar Refraction
(RM ),
(cm3
.mol-1
)
Polarisability
constant ( α ) ×
10-23
(cm3
.mol-1
)
298.15˚K
0.0035 0.99838 1.3327 1.7762 0.2059 3.7105 0.1471
0.0105 1.00079 1.3328 1.7764 0.2054 3.7083 0.1470
0.0215 1.00465 1.3330 1.7768 0.2047 3.7005 0.1467
0.0365 1.00996 1.3332 1.7774 0.2038 3.6968 0.1464
303.15˚K
0.0035 0.99697 1.3322 1.7748 0.2059 3.7104 0.1471
0.0105 0.99932 1.3323 1.7750 0.2054 3.7066 0.1470
0.0215 1.00304 1.3324 1.7754 0.2048 3.7003 0.1467
0.0365 1.00810 1.3326 1.7758 0.2038 3.6945 0.1464
308.15˚K
0.0035 0.99538 1.3314 1.7727 0.2058 3.7102 0.1471
0.0105 0.99785 1.3315 1.7729 0.2053 3.7055 0.1469
0.0215 1.00179 1.3316 1.7732 0.2046 3.7000 0.1467
0.0365 1.00710 1.3318 1.7737 0.2036 3.6934 0.1463
International Journal of Technical Research and Applications e-ISSN: 2320-8163,
www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122
120 | P a g e
313.15˚K
0.0035 0.99333 1.3308 1.7711 0.2058 3.7100 0.1471
0.0105 0.99599 1.3309 1.7713 0.2056 3.7039 0.1469
0.0215 1.00017 1.3310 1.7717 0.2046 3.6996 0.1467
0.0365 1.00595 1.3312 1.7721 0.2036 3.6926 0.1462
Table-4: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E),
Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in 0.2% KCl at different
temperatures.
Conc. of KBrO3
in water
(mol.dm-3
)
Density, ‘d’
(g.cm-3
)
Refractive
index, (n)
Electronic
polarization
(E)
Specific Refraction
(RD ),
(g-1
.cm3
)
Molar Refraction
(RM ),
(cm3
.mol-1
)
Polarisability
constant ( α ) ×
10-23
(cm3
.mol-1
)
298.15˚K
0.0035 0.99951 1.3328 1.7764 0.2057 3.7100 0.1472
0.0105 1.00181 1.3329 1.7766 0.2053 3.7063 0.1470
0.0215 1.00546 1.3331 1.7770 0.2046 3.7005 0.1467
0.0365 1.01044 1.3333 1.7776 0.2037 3.6928 0.1464
303.15˚K
0.0035 0.99779 1.3323 1.7751 0.2058 3.7099 0.1472
0.0105 1.00022 1.3324 1.7753 0.2053 3.7059 0.1470
0.0215 1.00399 1.3325 1.7757 0.2046 3.7001 0.1467
0.0365 1.00924 1.3327 1.7761 0.2036 3.6921 0.1464
308.15˚K
0.0035 0.99648 1.3315 1.7730 0.2056 3.7098 0.1471
0.0105 0.99873 1.3316 1.7732 0.2052 3.7055 0.1469
0.0215 1.00236 1.3318 1.7736 0.2045 3.6998 0.1467
0.0365 1.00730 1.3320 1.7742 0.2036 3.6914 0.1464
313.15˚K
0.0035 0.99471 1.3310 1.7716 0.2057 3.7097 0.1471
0.0105 0.99708 1.3311 1.7718 0.2053 3.7051 0.1469
0.0215 1.00091 1.3312 1.7722 0.2045 3.6991 0.1467
0.0365 1.00611 1.3314 1.7726 0.2035 3.6907 0.1463
Table-5: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E),
Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in 0.3% KCl at different
temperatures.
Conc. of KBrO3
in water
(mol.dm-3
)
Density, ‘d’
(g.cm-3
)
Refractive index,
(n)
Electronic
polarization
(E)
Specific Refraction
(RD ),
(g-1
.cm3
)
Molar Refraction
(RM ),
(cm3
.mol-1
)
Polarisability
constant ( α ) ×
10-23
(cm3
.mol-1
)
298.15˚K
0.0035 1.00099 1.3330 1.7769 0.2055 3.7094 0.1471
0.0105 1.00318 1.3331 1.7772 0.2051 3.7062 0.1470
0.0215 1.00659 1.3333 1.7776 0.2045 3.7012 0.1468
0.0365 1.01111 1.3335 1.7782 0.2037 3.6951 0.1465
303.15˚K
0.0035 0.99935 1.3324 1.7754 0.2055 3.7091 0.1471
0.0105 1.00156 1.3325 1.7757 0.2051 3.7058 0.1470
0.0215 1.00495 1.3327 1.7761 0.2045 3.7003 0.1468
0.0365 1.00948 1.3329 1.7766 0.2037 3.6930 0.1465
International Journal of Technical Research and Applications e-ISSN: 2320-8163,
www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122
121 | P a g e
308.15˚K
0.0035 0.99753 1.3317 1.7735 0.2055 3.7088 0.1471
0.0105 0.99984 1.3318 1.7738 0.2051 3.7054 0.1469
0.0215 1.00340 1.3319 1.7741 0.2044 3.6995 0.1467
0.0365 1.00849 1.3321 1.7745 0.2035 3.6906 0.1464
313.15˚K
0.0035 0.99638 1.3311 1.7719 0.2054 3.7084 0.1470
0.0105 0.99871 1.3312 1.7721 0.2050 3.7048 0.1469
0.0215 1.00240 1.3314 1.7725 0.2043 3.6988 0.1466
0.0365 1.00735 1.3316 1.7732 0.2034 3.6897 0.1463
Table-6: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E),
Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in 0.4% KCl at different
temperatures.
Conc. of KBrO3
in water
(mol.dm-3
)
Density, ‘d’
(g.cm-3
)
Refractive index,
(n)
Electronic
polarization
(E)
Specific Refraction
(RD ),
(g-1
.cm3
)
Molar Refraction
(RM ),
(cm3
.mol-1
)
Polarisability
constant ( α ) ×
10-23
(cm3
.mol-1
)
298.15˚K
0.0035 1.00198 1.3332 1.7775 0.2054 3.7106 0.1472
0.0105 1.00409 1.3333 1.7778 0.2050 3.7077 0.1470
0.0215 1.00730 1.3335 1.7781 0.2045 3.7032 0.1469
0.0365 1.01169 1.3336 1.7785 0.2037 3.6967 0.1466
303.15˚K
0.0035 1.00061 1.3325 1.7757 0.2053 3.7094 0.1471
0.0105 1.00273 1.3327 1.7760 0.2049 3.7069 0.1470
0.0215 1.00603 1.3328 1.7764 0.2044 3.7014 0.1468
0.0365 1.01055 1.3330 1.7769 0.2035 3.6949 0.1465
308.15˚K
0.0035 0.99915 1.3318 1.7738 0.2052 3.7088 0.1470
0.0105 1.00120 1.3319 1.7740 0.2048 3.7051 0.1469
0.0215 1.00439 1.3320 1.7743 0.2043 3.6996 0.1467
0.0365 1.00899 1.3322 1.7748 0.2034 3.6925 0.1464
313.15˚K
0.0035 0.99736 1.3313 1.7724 0.2053 3.7078 0.1470
0.0105 0.99958 1.3314 1.7726 0.2049 3.7044 0.1468
0.0215 1.00309 1.3315 1.7729 0.2042 3.6977 0.1466
0.0365 1.00791 1.3317 1.7734 0.2034 3.6884 0.1462
Table-7: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E),
Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in 0.5% KCl at different
temperatures.
Conc. of KBrO3 in
water (mol.dm-3
)
Density, ‘d’ (g.cm-
3
)
Refractive
index, (n)
Electronic
polarization
(E)
Specific
Refraction
(RD ),
(g-1
.cm3
)
Molar Refraction
(RM ),
(cm3
.mol-1
)
Polarisability
constant ( α ) ×
10-23
(cm3
.mol-1
)
298.15˚K
0.0035 1.00347 1.3334 1.7780 0.2052 3.7099 0.1471
0.0105 1.00538 1.3335 1.7782 0.2049 3.7073 0.1470
0.0215 1.00839 1.3336 1.7784 0.2043 3.7031 0.1469
0.0365 1.01235 1.3337 1.7788 0.2036 3.6981 0.1466
International Journal of Technical Research and Applications e-ISSN: 2320-8163,
www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122
122 | P a g e
303.15˚K
0.0035 1.00218 1.3326 1.7759 0.2051 3.7085 0.1470
0.0105 1.00407 1.3327 1.7761 0.2047 3.7058 0.1469
0.0215 1.00705 1.3329 1.7765 0.2042 3.7009 0.1468
0.0365 1.01107 1.3331 1.7772 0.2035 3.6967 0.1466
308.15˚K
0.0035 1.00060 1.3320 1.7743 0.2050 3.7078 0.1470
0.0105 1.00260 1.3321 1.7745 0.2047 3.7047 0.1469
0.0215 1.00569 1.3322 1.7749 0.2041 3.6997 0.1467
0.0365 1.00991 1.3324 1.7753 0.2033 3.6939 0.1465
313.15˚K
0.0035 0.99857 1.3314 1.7727 0.2050 3.7073 0.1470
0.0105 1.00068 1.3315 1.7729 0.2047 3.7033 0.1468
0.0215 1.00400 1.3316 1.7732 0.2041 3.6969 0.1466
0.0365 1.00861 1.3318 1.7737 0.2033 3.6879 0.1462
Table-8: Δ [RM] values for Molar Refraction of KBrO3 in 0.5% KCl and Molar Refraction of
KBrO3 in water at different temperatures.
Concentration
of KBrO3
in water
(mol.dm-3
)
Temperature
in ˚K
Δ RM
Temperature
in ˚K
Δ RM
0.0035
298.15
0.0035
308.15
0.0016
0.0105 0.0041 0.0021
0.0215 0.0050 0.0027
0.0365 0.0066 0.0040
0.0035
303.15
0.0022
313.15
0.0013
0.0105 0.0028 0.0012
0.0215 0.0032 0.0011
0.0365 0.0051 0.0006

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STUDY OF MOLAR REFRACTION AND POLARISABILITY CONSTANT OF AQUEOUS SOLUTIONS OF KCL AND KBRO3 AT DIFFERENT TEMPERATURES.

  • 1. International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122 116 | P a g e STUDY OF MOLAR REFRACTION AND POLARISABILITY CONSTANT OF AQUEOUS SOLUTIONS OF KCL AND KBRO3 AT DIFFERENT TEMPERATURES. *Arun B. Nikumbh, Meenakshi V. Rathi, P.G. and Research Department of Chemistry, S. S. G. M. College, Kopargaon (M. S.), India-423601 P.G. Department of Chemistry, RNC Arts, JDB Commerce, NSC Science College, Nasik Road, Nasik. aob.nikumbh@gmail.com, meenakship2@gmail.com Abstract: Densities and Refractive Indices of solutions of potassium bromate (KBrO3) have been studied in water and 0.1%, 0.2%, 0.3%, 0.4% and 0.5% (w/v) aqueous solution of KCl with temperature in the range T = 298.15˚K- 313.15˚K. The data obtained is utilized to determine Specific Refraction (RD) and Molar Refraction (RM) of solutions. The values of Refractive indices, Molar Refraction (RM) and Molar Polarisability (α) constant are found to be decreased with decreasing concentration of solute in solvent and these results are also interpreted in terms of interaction in salt solution. It has been verified that Molar Refraction is additive and constitutive property. Key Words: Refractive index, Molar Refraction and Molar Polarisability. I. INTRODUCTION The molar refractivity is a measure of the polarisability of the molecule[1]. The study of specific refractivity, molar refractivity and polarisability of salt solutions plays a vital role not only in chemical but also in engineering, medical and biotechnical field. The best part with measurement of refractive index is that it can be measured easily with a high degree of accuracy. Potassium bromate has been widely used in the oxidation of many organic compounds in acidic medium. This oxidation was recognized as friendly to the environment compared to the oxidation carried out by transition metal containing reagents such as chromate, permanganate, cerium and ruthenium salts. Idris S.O. et al.[2] describe the kinetics of the oxidation of L- Methionine by potassium bromate in hydrochloric acid medium. The kinetics and mechanism of the oxidation of Tartaric acid by potassium bromate in perchloric acidic medium was also studied[3]. A combination of sulfuric acid and potassium bromate in the presence of SiO2 were used as effective oxidizing agent for the oxidation of alcohol to its corresponding aldehyde and ketone derivatives in various organic solvents with good yield[4]. Potassium bromate as an oxidizing agent in a Titania-based Ru CMP slurry was studied by S. Noyel Victoria[5]. Potassium bromate and Thio- glycolate are the two compounds used worldwide as hair curling solutions. The toxic effect of KBrO3 on vestibuloocular reflex system of human was studied[6]. Optical dispersion and Molar refractivities of Alkali Halide crystals and aqueous solutions were studied by A. Penzkofer, H. Glas[7] Measurement of refractive index is an essential and important work to study the thermodynamic and other physical properties such as specific refractivity, molar refractivity and polarisability of solutions which provide information about the molecular structure of the components used in the solutions. The molar refractivity reflects arrangements of the electron shells of ions in molecule and yields information about the electronic polarization of ions. The present paper deals with the study of molar refraction and polarisability constant of KBrO3 in aqueous KCl at different temperatures. II. EXPERIMENTAL A. Materials The chemicals (KCl and KBrO3) were of high purity (ACS reagent ≥ 99.0%) obtained from Sigma Aldrich, used directly without further purification. Potassium bromate and potassium chloride are commercially available in the form of white crystals. Water used for solution preparation was triply distilled with specific conductance of < 10-6 S .cm-1 . Aqueous solutions of KCl of different percentage were prepared by dissolving an appropriate amount by weight of KCl in appropriate volume of water (w/v). The different concentrations of KBrO3 in KCl were prepared by diluting the stock solution. All weighing were done on electronic Contech balance having accuracy (0.0001g). B. Density measurements Density measurements were performed using bi-capillary pycnometer. The pycnometer was calibrated by measuring the densities of triple distilled water. The density was measured with an uncertainty of ± 1.48 × 10-4 g.cm-3 . The temperatures were measured with an uncertainty of ± 0.01˚K. C. Refractive index measurements Refractive indices of different solutions were measured with the help of Abbe’s refractometer. The refractive indices values are referred to a wavelength of 589.3 nm (Na, D-line). The temperature of prism box was maintained constant at required temperature by circulating water from thermostat. The refractometer was calibrated by glass test pieces of known refractive indices supplied with the instrument.
  • 2. International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122 117 | P a g e III. DATA EVALUATION The densities of solutions were determined from the relation as d = …1 Where ‘M’ is mass of solution in grams and ‘V’ is the volume of solution filled in the bi-capillary pycnometer in cubic centimeters. The Electronic polarization (E), Specific Refraction (RD), Molar refraction of solution (RM) and Polarisability constant (α) of salt solutions were determined by following formulae[ 8-12]. E = n2 …2 RD = …3 RM = × …4 RM = π N α …5 Where ‘n’ is refractive index of solutions, ‘Xi’ is the mole fractions of water, KCl and KBrO3; ‘Mi’ is the molecular weights of water, KCl and KBrO3; ‘N’ is Avogadro’s number. IV. RESULTS AND DISCUSSION The present investigation includes the measurement of density and refractive index of salts in water at different temperatures is given in Table No. 1 and 2. The values of densities and refractive indices of KCl and KBrO3 in water increases with increase in concentration at all temperatures under investigation. The values however decrease with increase in temperature. The increase in concentration means increase in molar mass of salt and hence density increases. The increase in refractive index with increase in concentration is due to decrease in angle of refraction or increase in angle of incidence. The decrease in density with increase in temperature is due to increase in molar volume of solvent. However the decrease in refractive index is due to the fact that the solute-solute and solute-solvent interactions weaken with increase in temperature. Densities followed the order KBrO3>KCl for the same concentration of the salt. This is due to relative salvation, corresponding resultant volumes of system and molar mass of these salts. The densities of both the salt solutions increased with increase in concentration in a given solution, which is because of strengthening of solute-solvent interactions. The refractive index of various solutions shows a linear relationship[13] with concentrations of potassium salts and is tabulated in Table No. 3, 4, 5, 6 and 7. Temperature dependent quantity, specific refraction (RD) that characterizes electronic polarizability of a substance. This increasing magnitude RD indicates strong solute-solvent interactions[14]. The salts under investigation are ionic. The molar refractivity values for individual cations and anions are measure of their respective deformabilities. On the basis of the results of Fajan’s and co-workers [15] it can be concluded that (a) The refractivity of anions is lowered by neighboring cations. It is lowered more in the presence of stronger electric field of the cation (a smaller radius and a greater charge) and more polarizable anion. (b) The refractivity of cations is increased by the neighboring anions. Anions are thus more consolidated by cations and the electron shell of the cation is less rigid due to the effect of anions. (c) The combination of ions to form molecules or crystals is then accompanied by a net decrease in the refractivity Δ [RM]. When consolidating effect of the cation on the anion outweighs the loosening effect of the anion on the cation and vice versa. The additivity of the ionic refractivities in aqueous solutions at infinite dilution has been confirmed by Fajan’s[16].The close perusal of present investigation shows that there is increase in polarizability as well as molar refraction with increase in concentration of salts. This may be due to dispersion force. It is the molecular force which arises from temporary dipole moment. The cumulative dipole-dipole interaction may create weak dispersion force resulting in increase in molar refraction and polarizability. Table No. 8 shows positive values of Δ RM. The molar refraction values of KBrO3 in 0.5% KCl are higher than in KBrO3 in water at all temperatures under investigation. V. CONCLUSIONS From the data it can be concluded that 1. The higher values of densities of KBrO3 than KCl are due to the relative salvation, corresponding relative volumes of system and molar mass of the salts. 2. The increase in densities with concentration may be due to strengthening of solute-solvent interactions. 3. The increase in polarizability as well as molar refraction with increase in concentration of salts is due to dispersion force. 4. This increasing magnitude of RD indicates strong solute-solvent interactions. 5. The molar refraction values of KBrO3 in 0.5% KCl are higher than in KBrO3 in water, shows molar refraction is additive as well as constitutive property. ACKNOWLEDGEMENT Authors would like to thank Dr. B. B. Nighot, Principal, S. S. G. M. College, Kopargaon (M. S., India - 423601) for providing necessary laboratory facilities. Authors would also like to thank Dr.R.M.Kulkarni Principal, RNC Arts, JDB Commerce, NSC Science College ,Nasik Road, Nasik for his motivation for research. REFERENCES [1] P. Pacak, ‘Molar refractivity and interactions in solutions I. Molar refractivity of some monovalent ions in aqueous and dimethyl sulfoxide solutions’, Chem. Papers, (1989) , 43 (4): 489-500. [2] Idris S.O; Ibrahim, A.P; Iyun J.F and Mohammed, Y., ‘Kinetics and mechanism of oxidation of l – methionine by potassium bromate in aqueous hydrochloric acid medium’, Archives of Applied Science Research, (2010), 2 (5): 355-362. [3] Usha Kushwaha, Amita Singh, Anil Kumar, A. K. Singh and Firoz Khan, ‘A kinetic and mechanistic study of oxidation of tartaric acid by potassium bromate in perchloric acid medium
  • 3. International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122 118 | P a g e catalysed by Ru (III)’, Journal of Chemical and Pharmaceutical Research, (2012), 4(6): 3144-3153. [4] B. F. Mirjalili, M. A. Zolfigol, A. Bamoniri, Z. Zaghaghi, A. Hazar, ‘Silica sulfuric acid/KBrO3/wet SiO2 as an efficient heterogeneous system for the oxidation of alcohols under mild conditions’, Acta Chim. Slov. (2003), 50: 563−568. [5] S. Noyel Victoria, Pranav P. Sharma, Ian Ivar Suni, and S. Ramanathana, ‘Potassium bromate as an oxidizing agent in a titania-based Ru cmp slurry’, Electrochemical and Solid-State Letters, (2010), 13, (11): 385-387. [6] Yi-Ho Young, Jiunn-Jye Chuu, Shing-Hwa Liu, and Shoei-Yn Lin-Shiau, ‘Toxic effects of potassium bromate and thioglycolate onvestibuloocular reflex systems of guinea pigs and humans, Toxicology and Applied Pharmacology (2001), 177: 103–111. [7] Penzkofer, H. Glas and J. Schmail, ‘Optical dispersion and molar refractivities of alkali halide crystalals and aqueous solution,’ Chemical Physics, (1982), 70: 47-54. [8] Samuel H. Maron and Carl F. Prutton, ‘Principle of Physical Chemistry’, 4th edition, Amerind publishing Co. Pvt. Ltd., (1972): 691. [9] W. M. B. M. Yunus and A. B. A. Rahman, ‘Refractive index of solutions at high concentration,’ Applied Optics, (1998), 27(16): 3341. [10] H. A. Lorentz, ‘The theory of electons’ Dover, New York, NY, USA, (1952). [11] A. F. Fucaloro,‘Reporting molar refraction’, Journal of Solution Chemistry, (2002), 31(7): 601-605. [12] S. D. Deosarkar, M. L. Narwade, H. G. Jahagirdar and K. M. Khedkar, ‘The measurement of molar refraction and polarizability constants of some substituted sulphonic acids at 303 K’ Oriental Journal of Chemistry, (2008),24(3): 1135- 1137. [13] A. Kumar, ‘Estimates of internal pressure and molar refraction of imidazolium based ionic liquids as a function of temperature’, Journal of Solution Chemistry, (2008), 37, (2):203-214. [14] Bhanupriya, R. P. Rajwade and R. Pande, ‘Densities, Refractive indices and excess properties of N-p- tolylbenzohydroxamic acid in dimethyl sulfoxide at 288.15 to 313.15K’, Journal of Solution Chemistry, (2009), 38, (9):1173- 1181. [15] Fajans.K. and Luhdemann, R., Z. Phys.Chem,‘Refractometric investigations.XLIII.Non additivity of the equivalent refraction of strong electrolytes at high concentration.’ (1935), 29:150. [16] Fajans.K Luhdemann,R., Z.Phys.Chem. Refraction and dispersion of gases and vapours;General Introduction(1934), B24,103-54. Table-1: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E), Molar Refraction (RM) and Polarisability constant (α) of KCl in water at different temperatures. Conc. of aqueous KCl in percentage Density, ‘d’ (g.cm-3 ) Refractive index, (n) Electronic polarization (E) Specific Refraction (RD ), (g-1 .cm3 ) Molar Refraction (RM ), (cm3 .mol-1 ) Polarisability constant ( α ) × 10-23 (cm3 .mol-1 ) 298.15˚K 0.1 0.99712 1.3326 1.7758 0.2061 3.7120 0.1472 0.2 0.99786 1.3327 1.7761 0.2060 3.7131 0.1472 0.3 0.99873 1.3329 1.7766 0.2059 3.7146 0.1473 0.4 0.99953 1.3331 1.7772 0.2058 3.7165 0.1474 0.5 1.00033 1.3332 1.7774 0.2057 3.7173 0.1474 303.15˚K 0.1 0.99572 1.3321 1.7745 0.2061 3.7111 0.1472 0.2 0.99673 1.3322 1.7749 0.2059 3.7122 0.1472 0.3 0.99746 1.3323 1.7750 0.2058 3.7133 0.1473 0.4 0.99826 1.3324 1.7753 0.2057 3.7141 0.1473 0.5 0.99931 1.3325 1.7756 0.2056 3.7145 0.1473 308.15˚K 0.1 0.99417 1.3313 1.7724 0.2059 3.7098 0.1471 0.2 0.99518 1.3314 1.7726 0.2058 3.7114 0.1471 0.3 0.99592 1.3316 1.7732 0.2058 3.7119 0.1472 0.4 0.99672 1.3317 1.7734 0.2056 3.7128 0.1472 0.5 0.99755 1.3319 1.7740 0.2056 3.7140 0.1473 313.15˚K 0.1 0.99250 1.3307 1.7708 0.2059 3.7089 0.1470 0.2 0.99350 1.3309 1.7713 0.2059 3.7108 0.1470 0.3 0.99438 1.3310 1.7716 0.2057 3.7116 0.1472 0.4 0.99518 1.3312 1.7721 0.2057 3.7124 0.1473 0.5 0.99616 1.3313 1.7724 0.2055 3.7136 0.1473
  • 4. International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122 119 | P a g e Table-2: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E), Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in water at different temperatures. Conc. of KBrO3 in water (mol.dm-3 ) Density, ‘d’ (g.cm-3 ) Refractive index, (n) Electronic polarization (E) Specific Refraction (RD ), (g-1 .cm3 ) Molar Refraction (RM ), (cm3 .mol-1 ) Polarisability constant ( α ) × 10-23 (cm3 .mol-1 ) 298.15˚K 0.0035 0.99821 1.3325 1.7757 0.2058 3.7064 0.1469 0.0105 1.00023 1.3326 1.7758 0.2054 3.7032 0.1468 0.0215 1.00365 1.3327 1.7762 0.2048 3.6981 0.1467 0.0365 1.00844 1.3330 1.7769 0.2040 3.6915 0.1464 303.15˚K 0.0035 0.99712 1.3321 1.7746 0.2058 3.7063 0.1470 0.0105 0.99934 1.3322 1.7748 0.2054 3.7030 0.1468 0.0215 1.00261 1.3323 1.7750 0.2048 3.6977 0.1466 0.0365 1.00677 1.3324 1.7753 0.2040 3.6916 0.1464 308.15˚K 0.0035 0.99493 1.3313 1.7724 0.2058 3.7062 0.1469 0.0105 0.99719 1.3314 1.7726 0.2054 3.7026 0.1468 0.0215 1.00073 1.3315 1.7730 0.2047 3.6970 0.1466 0.0365 1.00557 1.3317 1.7737 0.2038 3.6899 0.1463 313.15˚K 0.0035 0.99338 1.3307 1.7708 0.2058 3.7060 0.1469 0.0105 0.99563 1.3308 1.7710 0.2053 3.7021 0.1468 0.0215 0.99929 1.3309 1.7713 0.2047 3.6958 0.1465 0.0365 1.00436 1.3311 1.7718 0.2037 3.6873 0.1462 Table-3: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E), Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in 0.1% KCl at different temperatures. Conc. of KBrO3 in water (mol.dm-3 ) Density, ‘d’ (g.cm-3 ) Refractive index, (n) Electronic polarization (E) Specific Refraction (RD ), (g-1 .cm3 ) Molar Refraction (RM ), (cm3 .mol-1 ) Polarisability constant ( α ) × 10-23 (cm3 .mol-1 ) 298.15˚K 0.0035 0.99838 1.3327 1.7762 0.2059 3.7105 0.1471 0.0105 1.00079 1.3328 1.7764 0.2054 3.7083 0.1470 0.0215 1.00465 1.3330 1.7768 0.2047 3.7005 0.1467 0.0365 1.00996 1.3332 1.7774 0.2038 3.6968 0.1464 303.15˚K 0.0035 0.99697 1.3322 1.7748 0.2059 3.7104 0.1471 0.0105 0.99932 1.3323 1.7750 0.2054 3.7066 0.1470 0.0215 1.00304 1.3324 1.7754 0.2048 3.7003 0.1467 0.0365 1.00810 1.3326 1.7758 0.2038 3.6945 0.1464 308.15˚K 0.0035 0.99538 1.3314 1.7727 0.2058 3.7102 0.1471 0.0105 0.99785 1.3315 1.7729 0.2053 3.7055 0.1469 0.0215 1.00179 1.3316 1.7732 0.2046 3.7000 0.1467 0.0365 1.00710 1.3318 1.7737 0.2036 3.6934 0.1463
  • 5. International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122 120 | P a g e 313.15˚K 0.0035 0.99333 1.3308 1.7711 0.2058 3.7100 0.1471 0.0105 0.99599 1.3309 1.7713 0.2056 3.7039 0.1469 0.0215 1.00017 1.3310 1.7717 0.2046 3.6996 0.1467 0.0365 1.00595 1.3312 1.7721 0.2036 3.6926 0.1462 Table-4: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E), Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in 0.2% KCl at different temperatures. Conc. of KBrO3 in water (mol.dm-3 ) Density, ‘d’ (g.cm-3 ) Refractive index, (n) Electronic polarization (E) Specific Refraction (RD ), (g-1 .cm3 ) Molar Refraction (RM ), (cm3 .mol-1 ) Polarisability constant ( α ) × 10-23 (cm3 .mol-1 ) 298.15˚K 0.0035 0.99951 1.3328 1.7764 0.2057 3.7100 0.1472 0.0105 1.00181 1.3329 1.7766 0.2053 3.7063 0.1470 0.0215 1.00546 1.3331 1.7770 0.2046 3.7005 0.1467 0.0365 1.01044 1.3333 1.7776 0.2037 3.6928 0.1464 303.15˚K 0.0035 0.99779 1.3323 1.7751 0.2058 3.7099 0.1472 0.0105 1.00022 1.3324 1.7753 0.2053 3.7059 0.1470 0.0215 1.00399 1.3325 1.7757 0.2046 3.7001 0.1467 0.0365 1.00924 1.3327 1.7761 0.2036 3.6921 0.1464 308.15˚K 0.0035 0.99648 1.3315 1.7730 0.2056 3.7098 0.1471 0.0105 0.99873 1.3316 1.7732 0.2052 3.7055 0.1469 0.0215 1.00236 1.3318 1.7736 0.2045 3.6998 0.1467 0.0365 1.00730 1.3320 1.7742 0.2036 3.6914 0.1464 313.15˚K 0.0035 0.99471 1.3310 1.7716 0.2057 3.7097 0.1471 0.0105 0.99708 1.3311 1.7718 0.2053 3.7051 0.1469 0.0215 1.00091 1.3312 1.7722 0.2045 3.6991 0.1467 0.0365 1.00611 1.3314 1.7726 0.2035 3.6907 0.1463 Table-5: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E), Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in 0.3% KCl at different temperatures. Conc. of KBrO3 in water (mol.dm-3 ) Density, ‘d’ (g.cm-3 ) Refractive index, (n) Electronic polarization (E) Specific Refraction (RD ), (g-1 .cm3 ) Molar Refraction (RM ), (cm3 .mol-1 ) Polarisability constant ( α ) × 10-23 (cm3 .mol-1 ) 298.15˚K 0.0035 1.00099 1.3330 1.7769 0.2055 3.7094 0.1471 0.0105 1.00318 1.3331 1.7772 0.2051 3.7062 0.1470 0.0215 1.00659 1.3333 1.7776 0.2045 3.7012 0.1468 0.0365 1.01111 1.3335 1.7782 0.2037 3.6951 0.1465 303.15˚K 0.0035 0.99935 1.3324 1.7754 0.2055 3.7091 0.1471 0.0105 1.00156 1.3325 1.7757 0.2051 3.7058 0.1470 0.0215 1.00495 1.3327 1.7761 0.2045 3.7003 0.1468 0.0365 1.00948 1.3329 1.7766 0.2037 3.6930 0.1465
  • 6. International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122 121 | P a g e 308.15˚K 0.0035 0.99753 1.3317 1.7735 0.2055 3.7088 0.1471 0.0105 0.99984 1.3318 1.7738 0.2051 3.7054 0.1469 0.0215 1.00340 1.3319 1.7741 0.2044 3.6995 0.1467 0.0365 1.00849 1.3321 1.7745 0.2035 3.6906 0.1464 313.15˚K 0.0035 0.99638 1.3311 1.7719 0.2054 3.7084 0.1470 0.0105 0.99871 1.3312 1.7721 0.2050 3.7048 0.1469 0.0215 1.00240 1.3314 1.7725 0.2043 3.6988 0.1466 0.0365 1.00735 1.3316 1.7732 0.2034 3.6897 0.1463 Table-6: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E), Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in 0.4% KCl at different temperatures. Conc. of KBrO3 in water (mol.dm-3 ) Density, ‘d’ (g.cm-3 ) Refractive index, (n) Electronic polarization (E) Specific Refraction (RD ), (g-1 .cm3 ) Molar Refraction (RM ), (cm3 .mol-1 ) Polarisability constant ( α ) × 10-23 (cm3 .mol-1 ) 298.15˚K 0.0035 1.00198 1.3332 1.7775 0.2054 3.7106 0.1472 0.0105 1.00409 1.3333 1.7778 0.2050 3.7077 0.1470 0.0215 1.00730 1.3335 1.7781 0.2045 3.7032 0.1469 0.0365 1.01169 1.3336 1.7785 0.2037 3.6967 0.1466 303.15˚K 0.0035 1.00061 1.3325 1.7757 0.2053 3.7094 0.1471 0.0105 1.00273 1.3327 1.7760 0.2049 3.7069 0.1470 0.0215 1.00603 1.3328 1.7764 0.2044 3.7014 0.1468 0.0365 1.01055 1.3330 1.7769 0.2035 3.6949 0.1465 308.15˚K 0.0035 0.99915 1.3318 1.7738 0.2052 3.7088 0.1470 0.0105 1.00120 1.3319 1.7740 0.2048 3.7051 0.1469 0.0215 1.00439 1.3320 1.7743 0.2043 3.6996 0.1467 0.0365 1.00899 1.3322 1.7748 0.2034 3.6925 0.1464 313.15˚K 0.0035 0.99736 1.3313 1.7724 0.2053 3.7078 0.1470 0.0105 0.99958 1.3314 1.7726 0.2049 3.7044 0.1468 0.0215 1.00309 1.3315 1.7729 0.2042 3.6977 0.1466 0.0365 1.00791 1.3317 1.7734 0.2034 3.6884 0.1462 Table-7: Density (d), Refractive index (n), Specific Refraction (RD), Electronic polarization (E), Molar Refraction (RM) and Polarisability constant (α) of KBrO3 in 0.5% KCl at different temperatures. Conc. of KBrO3 in water (mol.dm-3 ) Density, ‘d’ (g.cm- 3 ) Refractive index, (n) Electronic polarization (E) Specific Refraction (RD ), (g-1 .cm3 ) Molar Refraction (RM ), (cm3 .mol-1 ) Polarisability constant ( α ) × 10-23 (cm3 .mol-1 ) 298.15˚K 0.0035 1.00347 1.3334 1.7780 0.2052 3.7099 0.1471 0.0105 1.00538 1.3335 1.7782 0.2049 3.7073 0.1470 0.0215 1.00839 1.3336 1.7784 0.2043 3.7031 0.1469 0.0365 1.01235 1.3337 1.7788 0.2036 3.6981 0.1466
  • 7. International Journal of Technical Research and Applications e-ISSN: 2320-8163, www.ijtra.com Volume 2, Issue 6 (Nov-Dec 2014), PP. 116-122 122 | P a g e 303.15˚K 0.0035 1.00218 1.3326 1.7759 0.2051 3.7085 0.1470 0.0105 1.00407 1.3327 1.7761 0.2047 3.7058 0.1469 0.0215 1.00705 1.3329 1.7765 0.2042 3.7009 0.1468 0.0365 1.01107 1.3331 1.7772 0.2035 3.6967 0.1466 308.15˚K 0.0035 1.00060 1.3320 1.7743 0.2050 3.7078 0.1470 0.0105 1.00260 1.3321 1.7745 0.2047 3.7047 0.1469 0.0215 1.00569 1.3322 1.7749 0.2041 3.6997 0.1467 0.0365 1.00991 1.3324 1.7753 0.2033 3.6939 0.1465 313.15˚K 0.0035 0.99857 1.3314 1.7727 0.2050 3.7073 0.1470 0.0105 1.00068 1.3315 1.7729 0.2047 3.7033 0.1468 0.0215 1.00400 1.3316 1.7732 0.2041 3.6969 0.1466 0.0365 1.00861 1.3318 1.7737 0.2033 3.6879 0.1462 Table-8: Δ [RM] values for Molar Refraction of KBrO3 in 0.5% KCl and Molar Refraction of KBrO3 in water at different temperatures. Concentration of KBrO3 in water (mol.dm-3 ) Temperature in ˚K Δ RM Temperature in ˚K Δ RM 0.0035 298.15 0.0035 308.15 0.0016 0.0105 0.0041 0.0021 0.0215 0.0050 0.0027 0.0365 0.0066 0.0040 0.0035 303.15 0.0022 313.15 0.0013 0.0105 0.0028 0.0012 0.0215 0.0032 0.0011 0.0365 0.0051 0.0006