L. Zheng et al.
Determination of melting point by freezing point
depression
Acknowledgements The project was supported by the National
Natural Science Foundation of China (21373005, 21673107) and
LNET (LR2015025).
The trace impurities can also make a difference for the
experimental result even the purity of 99 mass% is high. In
that case, IL can be taken as a dilute solution which con-
sists of solvent and impurity. Since the freezing point of
dilute solution is certain to below the melting point of pure
IL, then freezing point depression equation was obtained
according to phase equilibrium principle as follows:
References
´
1. Calvar N, G o´ mez E, Macedo EA, Dom ´ı nguez A. Thermal anal-
ysis and heat capacities of pyridinium and imidazolium ionic
liquids. Thermochim Acta. 2013;565:178–82.
2
. Rocha MAA, Bastos M, Coutinho JAP. Santos LMNBF. Heat
capacities at 298.15 K of the extended [C im][Ntf ] ionic
liquid series. J Chem Thermodyn. 2012;53:140–3.
Ã
Ã
ln x ¼ D H ðT ÀT Þ=RT T
ð10Þ
C
n 1
2
A
f
m
de
de
*
where x is molar fraction, T is melting point of pure IL, R
is Avogadro constant. Since T T ≈ T , then Eq. (10) was
3. Lin PY, Soriano AN, Leron RB, Li MH. Electrolytic conductivity
and molar heat capacity of two aqueous solutions of ionic liquids
at room-temperature: measurements and correlations. J Chem
Thermodyn. 2010;42:994–8.
A
*
2
de
de
rearranged:
Ã
2
de
4. B o¨ smann A, Datsevich L, Jess A, Lauter A, Schmithz C,
Wasserscheid P. Deep desulfurization of diesel fuel by extraction
with ionic liquids. Chem Commun. 2001;23:2494–5.
T ¼ T ÀRT ln x =D H
ð11Þ
de
A
f
m
*
From Eq. (11), the value of T = 306.48 K was obtained,
which compared with the average 305.08 K was a little
bigger. The reason was caused by trace water in ionic
liquid [C py][NTf ].
5
. Rodr ´ı guez-Cabo B, Francisco M, Soto A, Arce A. Hexyl
dimethylpyridinium ionic liquids for desulfurization of fuels.
Effect of the position of the alkyl side chains. Fluid Phase
Equilib. 2012;314:107–12.
2
2
6
. Arce A, Francisco M, Soto A. Evaluation of the polysubstituted
pyridinium ionic liquid [hmmpy][Ntf
desulfurization: phase equilibria.
The molar melting entropy ΔdeSm of IL can also be
calculated according to melting point of pure IL:
2
] as a suitable solvent for
Chem Thermodyn.
J
Ã
2
010;42:712–8.
D S ¼ D H =T
ð12Þ
de
m
f
m
7
8
. Gao HS, Li YG, Wu Y, Luo MF, Li Q, Xing JM, Liu HZ.
Extractive desulfurization of fuel using 3-methylpyridinium-
based ionic liquids. Energy Fuels. 2009;23:2690–4.
. Verd ´ı a P, Gonz a´ lez EJ, Rodr ´ı guez-Cabo B, Tojo E. Synthesis and
characterization of new polysubstituted pyridinium-based ionic
liquids: application as solvents on desulfurization of fuel oils.
Green Chem. 2011;13:2768–76.
From Eq. (12), Δ S = 90.60 ± 0.06 J mol K−1 was
−1
de m
calculated, which compared with 60.04, 18.41 and
1
1
7.98 J mol− K−1 [27] for [C py][PF ], [C py][PF ] and
2
6
3
6
[
C py][PF ], respectively, is bigger. Besides, the freezing
5 6
constant K was also calculated by the following equation:
f
9
. Han XX, Armstrong DW. Ionic liquids in separations. Acc Chem
Res. 2007;40:1079–86.
Ã2
K ¼ RT M =D H
ð13Þ
f
A
f
m
1
1
2
0. Raeissi S, Peters CJ. A potential ionic liquid for CO -separating
where MA is molar mass, then the freezing constant K
f-
gas membranes: selection and gas solubility studies. Green Chem.
2009;11:185–92.
´
1. Requejo PF, Calvar N, Dom ´ı nguez A, G o´ mez E. Comparative
study of the LLE of the quaternary and ternary systems involving
4
1.09 9 10 g mol
−1 −1
=
K
was calculated.
2
benzene, n-octane, n-decane and the ionic liquid [BMpyr][NTf ].
J Chem Thermodyn. 2016;98:56–61.
2. Cas a´ s LM, Plantier F, Pineiro MM, Legido JL, Bessi e` res D.
Calibration of a low temperature calorimeter and application in
the determination of isobaric heat capacity of 2-propanol. Ther-
mochim Acta. 2010;507–508:123–6.
Conclusions
In this paper, IL [C py][NTf ] was synthesized and char-
1
2
2
acterized. The molar heat capacities of ionic liquid [C py]
2
[
NTf ] were measured using a calorimeter with “3D Cal-
2
13. Cas a´ s LM, Legido JL, Pozo M, Mourelle L, Plantier F, Bessi e` res
D. Specific heat of mixtures of bentonitic clay with sea water or
distilled water for their use in thermotherapy. Thermochim Acta.
vet” calorimetric sensor from (293 to 312) K. The value of
molar heat capacity 502.15 J K− mol−1 was obtained at
1
2
011;524:68–73.
4. Coulier Y, Ballerat-Busserolles K, Mesones J, Lowe A, Coxam J.
Excess molar enthalpies and heat capacities of
2
98.15 K. Moreover, the estimation values of molar heat
1
capacity were calculated by using 4 methods at 298.15 K,
and the result showed the estimating formula which based
on the molar volume was more appropriate for predicting
the molar heat capacity of IL [C py][NTf ] with the error
2-methylpiperidine − water and N–methylpiperidine − water
systems of low to moderate amine compositions. J Chem Eng
Data. 2015;60:1563–71.
2
2
1
5. Dong L, Zheng D, Nie N, Li Y. Performance prediction of
absorption refrigeration cycle based on the measurements of
less than 2%. The molar enthalpy of fusion Δ H
f
m
−1
=
26.77 kJ mol , molar melting entropy Δ S
vapor pressure and heat capacity of H
Appl Energy. 2012;9:326–32.
6. Calvar N, G o´ mez E, Macedo EA, Dom ´ı nguez A. Thermal anal-
ysis and heat capacities of pyridinium and imidazolium ionic
liquids. Thermochim Acta. 2013;565(565):178–82.
2
O + [DMIM]DMP system.
de m
90.60 J mol− K−1 and the freezing constant K were also
calculated.
1
=
f
´
1
1
23