Supplementary Information file Topological Investigations of Excess Heat Capacities of Binary and Ternary Liquid Mixtures Containing o-Chlorotoluene, Amides and Cyclohexane at 298.15, 303.15 and 308.15 K V. K. Sharma · Rajni Dua · D. Sharma 1 Corresponding author. tel.: +91 9729071881 e-mail address: v_sharmachem58@rediffmail.com (V .K. Sharma) 1 Graph Theory Excess Heat Capacities of Binary Mixtures ( ) The C pE data of investigated binary mixtures were computed by assuming that (1 + 2) 12 mixtures formation may involve various processes as discussed in the manuscript. If 12 , 11 , 22 / and 12 are the interaction energy parameters for unlike contacts (1n–2n), enhance in randomness and formation of non-random structures, respectively, then the change in heat capacities (DC p ) due to processes (ii), (iii) and (iv), respectively, are expressed [1–4] by (DC p ) 1 x1 x2 v2 i 1 (DC p )2 12 x111 x1 22 2 xi vi x1 x22 v2 12/ 2 i 1 (S1) xi vi (S2) ( ) vi is the molar volume of component i (i = 1 or 2). The total change in C pE values is then 12 expressed by ( ) C pE 12 2 ( ) = å DC p = i=1 i x1x2 v2 é / ù ë c12 + x1 c11 + x1 c 22 + x2 c12 û 2 å xi vi (S3) i=1 Singh et al. [2] have suggested that v2 / v1 = 31 / 32 ; consequently, Eq. S3 is reduced to (C ) E p 12 = ( x1x2 3x1 / 3x 2 ( ) x1 + x2 x1 / x 2 3 3 ) éc + x c + x c + x c / ù ë 12 1 11 1 22 2 12 û (S4) / // * For THP (1) + NMF or DMF (2) mixtures, we assume that 12 12 12 and 11 22 , then Eq. S4 is then given as (C ) E p 12 = ( x1x2 3x1 / 3x 2 ( ) x1 + x2 x1 / x 2 3 3 ) é(1+ x ) c // + 2x c * ù 2 12 1 ë û (S5) In o-CT or THP (1) + cyclohexane (2) mixture formation, as cyclohexane exists as a monomer, 22 = 0. Equation S4 is, therefore, expressed as 2 (C ) E p 12 = ( x1x2 3x1 / 3x 2 ( ) x1 + x2 x1 / x 2 3 3 ) éc + x c + x c / ù ë 12 1 11 2 12 û (S6) ** We next assumed that, 12 11 ; consequently Eq. S7 is defined by (C ) E p 12 = ( x1x2 3x1 / 3x 2 ( ) x1 + x2 x1 / x 2 3 3 ) é(1+ x ) c ** + x c / ù 1 2 12 û ë (S7) Flory Theory Excess heat capacities for binary and ternary mixtures were computed by differentiating Flory’s expression for excess molar enthalpies [5–6] of binary and ternary mixtures with respect to the temperature: (S8) (S9) where , Pi * , i and (i = 1 or 2 or 3) represent characteristic volume, characteristic pressure, thermal coefficient and reduced volume of pure component (i); and are the reduced volume and thermal coefficient of the mixture and have the same significance as described elsewhere [5, ** 6]. The interaction energy parameters, 12** , 23 , 13** of (1 + 2), (2 + 3) and (1 + 3) sub-binaries [7] of the (1 + 2 + 3) ternary mixtures were assumed to be independent of temperature. The Flory parameters for the studied liquids were taken from the literature [8–11]. ** However, Benson and D’Arcy [12] further assumed that the 12** , 23 , 13** parameters for binary and ternary mixtures were a function of temperature. Consequently, (CPE )12 and CPE 123 values for binary and ternary mixtures are represented by Eqs. S10 and S11: (S10) 3 (S11) where (S12) (S13) 2 xi i (S14) i 1 3 xi i (S15) i 1 E The V12E and V123 denote excess molar volumes of binary and ternary mixtures, ( ) respectively, and were taken from literature [7, 8, 10, 13, 14]. Such C pE 12 ( ) and C pE values 123 determined via Eqs. S10–S15 are listed in Tables S2 and S3. An assessment of data in Tables S2 ( ) and S3 indicates that Flory’s theory correctly predicts the sign of C pE 12 ( ) and C pE values of 123 the studied binary and ternary mixtures except those for THP(1) + NMF or DMF(2), and o-CT (1) + THP (2) + cyclohexane (3) mixtures. However, quantitative agreement is poor. The failure ( ) of this theory to correctly predict the sign of C pE 12 ( ) and C pE of THP(1) + NMF or DMF(2); 123 o-CT (1) + THP (2) + cyclohexane (3) mixtures may be due to strong interactions among unlike molecules. 4 ( ) Table S1 Measured heat capacities, C p 1 mix ( ) (J·K–1·mol–1), and excess heat capacities, C pE (J·K– 12 ·mol–1), data for various binary mixtures as a function of the mole fraction, x1, of component (1) at T = (298.15, 303.15, and 308.15) K x1 (C ) (C ) E p 12 p mix –1 –1 (J·K ·mol ) –1 x1 (C ) p mix (J·K–1·mol–1) –1 (J·K ·mol ) (C ) E p 12 (J·K–1·mol–1) Tetrahydropyran (1) + N-methylformamide (2) T = 298.15 K 0.0959 127.36 0.97 0.5217 140.44 3.11 0.1326 128.65 1.32 0.5519 141.17 3.07 0.1654 129.79 1.62 0.5987 142.24 2.94 0.1987 130.93 1.90 0.6205 142.72 2.86 0.2387 132.26 2.21 0.6618 143.59 2.67 0.2619 133.02 2.37 0.7143 144.64 2.36 0.3192 134.83 2.70 0.7431 145.19 2.17 0.3417 135.51 2.81 0.7981 146.19 1.76 0.3765 136.54 2.95 0.8217 146.60 1.57 0.4129 137.58 3.05 0.8543 147.16 1.29 0.4567 138.78 3.12 0.8754 147.52 1.11 0.4976 139.84 3.13 0.9126 148.15 0.77 0.0959 128.66 1.19 0.5217 142.24 3.59 0.1326 130.03 1.60 0.5519 142.99 3.54 0.1654 131.23 1.94 0.5987 144.08 3.40 0.1987 132.43 2.26 0.6205 144.57 3.32 0.2387 133.82 2.60 0.6618 145.45 3.12 0.2619 134.60 2.77 0.7143 146.51 2.79 0.3192 136.47 3.14 0.7431 147.05 2.58 0.3417 137.18 3.26 0.7981 148.04 2.12 T = 303.15 K 5 0.3765 138.24 3.40 0.8217 148.44 1.91 0.4129 139.31 3.51 0.8543 148.98 1.59 0.4567 140.54 3.59 0.8754 149.32 1.38 0.4976 141.63 3.61 0.9126 149.91 0.98 0.0959 130.12 1.47 0.5217 144.06 3.91 0.1326 131.57 1.93 0.5519 144.84 3.87 0.1654 132.82 2.30 0.5987 145.98 3.75 0.1987 134.05 2.63 0.6205 146.50 3.68 0.2387 135.48 2.97 0.6618 147.43 3.49 0.2619 136.28 3.15 0.7143 148.55 3.19 0.3192 138.17 3.50 0.7431 149.12 2.99 0.3417 138.89 3.60 0.7981 150.15 2.53 0.3765 139.97 3.74 0.8217 150.57 2.31 0.4129 141.05 3.84 0.8543 151.11 1.97 0.4567 142.31 3.91 0.8754 151.44 1.73 0.4976 143.43 3.93 0.9126 151.99 1.27 T = 308.15 K Tetrahydropyran (1) + N,N-dimethylformamide (2) T = 298.15 K 0.0903 149.34 0.70 0.5593 152.25 3.11 0.1328 149.72 1.04 0.5916 152.27 3.09 0.1792 150.14 1.41 0.6214 152.25 3.04 0.2135 150.44 1.67 0.6661 152.17 2.91 0.2507 150.75 1.93 0.7004 152.07 2.77 0.2916 151.06 2.21 0.7418 151.89 2.55 0.3176 151.25 2.37 0.7983 151.56 2.16 0.3506 151.47 2.55 0.8165 151.44 2.01 0.3903 151.71 2.74 0.8410 151.25 1.80 0.4237 151.87 2.88 0.8943 150.78 1.28 0.4708 152.06 3.02 0.9163 150.56 1.03 0.5182 152.19 3.09 0.9387 150.33 0.78 6 T = 303.15 K 0.0903 151.34 0.86 0.5593 154.14 3.27 0.1328 151.74 1.22 0.5916 154.16 3.27 0.1792 152.15 1.59 0.6214 154.16 3.24 0.2135 152.43 1.85 0.6661 154.10 3.15 0.2507 152.72 2.11 0.7004 154.02 3.04 0.2916 153.01 2.36 0.7418 153.86 2.85 0.3176 153.18 2.51 0.7983 153.54 2.48 0.3506 153.38 2.69 0.8165 153.41 2.34 0.3903 153.59 2.87 0.841 153.21 2.12 0.4237 153.75 3.00 0.8943 152.69 1.55 0.4708 153.93 3.14 0.9163 152.43 1.28 0.5182 154.07 3.24 0.9387 152.14 0.97 0.0903 153.72 1.03 0.5593 156.34 3.45 0.1328 154.14 1.43 0.5916 156.36 3.46 0.1792 154.54 1.81 0.6214 156.36 3.45 0.2135 154.81 2.07 0.6661 156.32 3.38 0.2507 155.07 2.31 0.7004 156.24 3.29 0.2916 155.33 2.56 0.7418 156.09 3.12 0.3176 155.48 2.70 0.7983 155.76 2.77 0.3506 155.66 2.86 0.8165 155.62 2.62 0.3903 155.85 3.03 0.841 155.41 2.40 0.4237 155.98 3.15 0.8943 154.83 1.79 0.4708 156.15 3.29 0.9163 154.53 1.49 0.5182 156.27 3.39 0.9387 154.20 1.14 T = 308.15 K Tetrahydropyran (1) + cyclohexane (2) T = 298.15 K 0.0843 155.28 –0.22 0.5125 152.21 –0.54 0.1287 154.91 –0.31 0.5508 151.98 –0.53 0.1768 154.52 –0.39 0.5901 151.74 –0.51 7 0.2169 154.21 –0.44 0.6310 151.50 –0.49 0.2510 153.96 –0.48 0.6715 151.27 –0.46 0.2951 153.64 –0.51 0.7129 151.04 –0.42 0.3276 153.41 –0.53 0.7519 150.83 –0.39 0.3601 153.19 –0.54 0.7817 150.67 –0.35 0.3910 152.98 –0.55 0.8165 150.49 –0.31 0.4123 152.84 –0.55 0.8517 150.31 –0.26 0.4387 152.67 –0.56 0.8904 150.12 –0.20 0.4815 152.40 –0.55 0.9231 149.96 –0.15 0.0843 157.93 –0.20 0.5125 154.37 –0.52 0.1287 157.51 –0.28 0.5508 154.09 –0.51 0.1768 157.07 –0.36 0.5901 153.82 –0.49 0.2169 156.72 –0.41 0.6310 153.53 –0.47 0.2510 156.42 –0.44 0.6715 153.26 –0.44 0.2951 156.05 –0.48 0.7129 152.98 –0.40 0.3276 155.79 –0.50 0.7519 152.73 –0.36 0.3601 155.53 –0.51 0.7817 152.54 –0.33 0.3910 155.28 –0.52 0.8165 152.32 –0.29 0.4123 155.12 –0.53 0.8517 152.10 –0.24 0.4387 154.92 –0.54 0.8904 151.86 –0.18 0.4815 154.60 –0.53 0.9231 151.67 –0.13 0.0843 160.67 –0.18 0.5125 156.72 –0.49 0.1287 160.21 –0.25 0.5508 156.41 –0.48 0.1768 159.74 –0.33 0.5901 156.09 –0.46 0.2169 159.34 –0.38 0.6310 155.77 –0.44 0.2510 159.02 –0.41 0.6715 155.46 –0.41 0.2951 158.61 –0.45 0.7129 155.15 –0.37 0.3276 158.31 –0.47 0.7519 154.86 –0.33 0.3601 158.02 –0.48 0.7817 154.64 –0.29 T = 303.15 K T = 308.15 K 8 0.3910 157.75 –0.49 0.8165 154.38 –0.25 0.4123 157.56 –0.50 0.8517 154.13 –0.21 0.4387 157.33 –0.51 0.8904 153.85 –0.16 0.4815 156.97 –0.50 0.9231 153.62 –-0.11 o-Chlorotoluene (1) + cyclohexane (2) T = 298.15 K 0.0915 156.78 –1.30 0.5219 164.39 –3.23 0.1328 157.22 –1.77 0.5607 165.35 –3.12 0.1729 157.72 –2.16 0.6006 166.38 –2.98 0.2134 158.28 –2.49 0.6432 167.51 –2.79 0.2583 158.98 –2.79 0.6815 168.57 –2.59 0.2819 159.37 –2.92 0.7206 169.67 –2.35 0.3232 160.11 –3.10 0.7628 170.89 –2.06 0.3631 160.88 –3.22 0.8008 172.02 –1.78 0.3941 161.50 –3.28 0.8265 172.79 –1.57 0.4223 162.10 –3.31 0.8654 173.98 –1.25 0.4517 162.75 –3.31 0.9004 175.06 –0.94 0.4876 163.57 –3.28 0.9218 175.73 –0.75 0.0915 159.53 –1.17 0.5219 166.81 –3.04 0.1328 159.97 –1.61 0.5607 167.74 –2.93 0.1729 160.45 –1.98 0.6006 168.73 –2.79 0.2134 160.99 –2.30 0.6432 169.83 –2.60 0.2583 161.65 –2.59 0.6815 170.85 –2.40 0.2819 162.03 –2.72 0.7206 171.91 –2.16 0.3232 162.73 –2.90 0.7628 173.09 –1.88 0.3631 163.45 –3.02 0.8008 174.17 –1.60 0.3941 164.05 –3.08 0.8265 174.91 –1.41 0.4223 164.62 –3.11 0.8654 176.05 –1.10 0.4517 165.24 –3.12 0.9004 177.07 –0.82 0.4876 166.03 –3.09 0.9218 177.70 –0.64 T = 303.15K 9 T = 308.15 K 0.0915 162.37 –1.03 0.5219 169.22 –2.86 0.1328 162.80 –1.44 0.5607 170.10 –2.76 0.1729 163.26 –1.79 0.6006 171.05 –2.61 0.2134 163.76 –2.10 0.6432 172.10 –2.42 0.2583 164.38 –2.39 0.6815 173.08 –2.21 0.2819 164.72 –2.52 0.7206 174.11 –1.97 0.3232 165.37 –2.70 0.7628 175.24 –1.69 0.3631 166.05 –2.83 0.8008 176.28 –1.42 0.3941 166.61 –2.89 0.8265 176.98 –1.23 0.4223 167.14 –2.93 0.8654 178.06 –0.94 0.4517 167.72 –2.94 0.9004 179.02 –0.68 0.4876 168.47 –2.91 0.9218 179.61 –0.53 10 ( ) E Table S2 Comparison of measured excess heat capacities, C p ( ) of Flory’s theory with their corresponding C pE , and values from appropriate equations 12 experimental values, at T = (298.15, 303.15, and 12 308.15) K for the various (1 + 2) mixtures as a function of x1 of component (1) Properties Mole fraction of component, x1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Tetrahydropyran (1) + N-methylformamide (2) T = 298.15 K (C ) E p 12 (Exptl.) 1.02 1.90 2.58 3.02 3.17 2.95 2.45 1.70 0.90 (CPE )12 (Flory) –0.15 –0.27 –0.36 –0.40 –0.41 –0.37 –0.33 –0.24 –0.13 T = 303.15 K (C ) (C ) E p 12 (Exptl.) 1.25 2.25 3.01 3.48 3.62 3.45 2.90 2.08 1.12 E p 12 (Flory) –0.15 –0.27 –0.36 –0.40 –0.41 –0.39 –0.33 –0.24 –0.13 T = 308.15 K (C ) (C ) E p 12 (Exptl.) 1.55 2.62 3.33 3.78 3.95 3.80 3.31 2.51 1.42 E p 12 (Flory) –0.15 –0.27 –0.36 –0.40 –0.41 –0.39 –0.33 –0.24 –0.13 Tetrahydropyran (1) + N,N-dimethylformamide (2) T = 298.15 K (C ) (C ) E p 12 (Exptl.) 0.79 1.55 2.24 2.77 3.07 3.09 2.79 2.17 1.20 E p 12 (Flory) –0.14 –0.25 –0.33 –0.38 –0.38 –0.36 –0.31 –0.23 –0.12 T = 303.15 K (C ) (C ) E p 12 (Exptl.) 0.94 1.76 2.40 2.93 3.22 3.24 3.02 2.49 1.48 E p 12 (Flory) –0.14 –0.25 –0.33 –0.37 –0.38 –0.35 –0.31 –0.23 –0.12 T = 308.15 K 11 (C ) (C ) E p 12 (Exptl.) 1.13 1.95 2.62 3.08 3.39 3.44 3.25 2.77 1.72 E p 12 (Flory) –0.13 –0.25 –0.32 –0.37 –0.38 –0.35 –0.30 –0.22 –0.12 Tetrahydropyran (1) + cyclohexane (2) T = 298.15K (C ) (C ) E p 12 (Exptl.) –0.26 –0.42 –0.51 –0.55 –0.56 –0.51 –0.43 –0.33 –0.19 E p 12 (Flory) –0.25 –0.41 –0.52 –0.58 –0.59 –0.56 –0.48 –0.37 –0.22 T = 303.15 K (C ) (C ) E p 12 (Exptl.) –0.23 –0.39 –0.48 –0.53 –0.54 –0.49 –0.40 –0.31 –0.17 E p 12 (Flory) –0.25 –0.41 –0.52 –0.58 –0.59 –0.56 –0.48 –0.37 –0.22 T = 308.15 K (C ) (C ) E p 12 (Exptl.) –0.21 –0.35 –0.44 –0.50 –0.51 –0.46 –0.38 –0.28 –0.14 E p 12 (Flory) –0.25 –0.41 –0.52 –0.58 –0.59 –0.56 –0.48 –0.37 –0.22 o-Chlorotoluene (1) +cyclohexane (2) T =298.15K (C ) (C ) E p 12 (Exptl.) –1.38 –2.40 –3.08 –3.32 –3.25 –2.92 –2.45 –1.78 –0.96 E p 12 (Flory) –0.11 –0.17 –0.21 –0.23 –0.23 –0.22 –0.19 –0.15 –0.10 T = 303.15 K (C ) (C ) E p 12 (Exptl.) –1.25 –2.21 –2.86 –3.13 –3.07 –2.75 –2.25 –1.60 –0.84 E p 12 (Flory) –0.11 –0.17 –0.20 –0.22 –0.23 –0.21 –0.19 –0.15 –0.09 T = 308.15 K (C ) (C ) E p 12 (Exptl.) –1.12 –1.96 –2.65 –2.96 –2.89 –2.57 –2.10 –1.40 –0.70 E p 12 (Flory) –0.11 –0.16 –0.20 –0.22 –0.22 –0.21 –0.18 –0.14 –0.09 12 ( ) Table S3 Comparison of experimental C pE data for the studied ternary mixtures with values 123 evaluated from Flory’s theory at T = (298.15, 303.15, and 308.15) K x1 x2 (C ) E p 123 (J·K–1·mol–1) Exptl. Flory o-Chlorotoluene (1) + tetrahydropyran (2) + N-methylformamide (3) T = 298.15 K 0.1046 0.8407 1.66 0.09 0.1178 0.8208 1.93 0.09 0.1343 0.8002 2.22 0.09 0.1636 0.7601 2.83 0.09 0.1795 0.7409 3.13 0.10 0.1987 0.7165 3.53 0.10 0.2118 0.7009 3.79 0.10 0.2677 0.6389 4.77 0.12 0.2897 0.6123 5.17 0.12 0.3094 0.5926 5.42 0.13 0.3289 0.5712 5.68 0.13 0.3517 0.5509 5.86 0.14 0.3693 0.5347 5.98 0.14 0.3882 0.5172 6.08 0.15 0.4059 0.4982 6.18 0.15 0.4283 0.4766 6.22 0.15 0.4558 0.4521 6.19 0.16 0.4691 0.4389 6.17 0.16 0.4897 0.4198 6.08 0.16 0.5075 0.4065 5.95 0.17 0.5281 0.3872 5.80 0.17 0.5474 0.3658 5.66 0.16 0.5785 0.3356 5.36 0.16 13 0.6138 0.3006 4.96 0.15 0.6316 0.2802 4.75 0.14 0.6571 0.2548 4.44 0.14 0.6746 0.2362 4.23 0.13 0.6904 0.2279 4.00 0.13 0.7382 0.1952 3.32 0.14 0.7562 0.1832 3.05 0.14 0.7985 0.1488 2.50 0.13 0.8172 0.1298 2.30 0.12 0.1046 0.8407 1.80 0.09 0.1178 0.8208 2.09 0.09 0.1343 0.8002 2.40 0.10 0.1636 0.7601 3.08 0.10 0.1795 0.7409 3.42 0.10 0.1987 0.7165 3.87 0.11 0.2118 0.7009 4.16 0.11 0.2677 0.6389 5.29 0.13 0.2897 0.6123 5.74 0.13 0.3094 0.5926 6.04 0.13 0.3289 0.5712 6.33 0.14 0.3517 0.5509 6.54 0.15 0.3693 0.5347 6.68 0.15 0.3882 0.5172 6.79 0.16 0.4059 0.4982 6.90 0.16 0.4283 0.4766 6.94 0.16 0.4558 0.4521 6.89 0.17 0.4691 0.4389 6.85 0.17 0.4897 0.4198 6.74 0.17 0.5075 0.4065 6.59 0.18 0.5281 0.3872 6.40 0.18 T = 303.15 K 14 0.5474 0.3658 6.22 0.17 0.5785 0.3356 5.84 0.17 0.6138 0.3006 5.36 0.16 0.6316 0.2802 5.11 0.15 0.6571 0.2548 4.74 0.14 0.6746 0.2362 4.50 0.13 0.6904 0.2279 4.24 0.14 0.7382 0.1952 3.49 0.15 0.7562 0.1832 3.20 0.15 0.7985 0.1488 2.61 0.14 0.8172 0.1298 2.40 0.13 0.1046 0.8407 1.97 0.10 0.1178 0.8208 2.29 0.10 0.1343 0.8002 2.62 0.10 0.1636 0.7601 3.35 0.10 0.1795 0.7409 3.72 0.11 0.1987 0.7165 4.22 0.11 0.2118 0.7009 4.54 0.11 0.2677 0.6389 5.80 0.13 0.2897 0.6123 6.31 0.13 0.3094 0.5926 6.64 0.14 0.3289 0.5712 6.97 0.14 0.3517 0.5509 7.21 0.15 0.3693 0.5347 7.37 0.16 0.3882 0.5172 7.49 0.16 0.4059 0.4982 7.60 0.16 0.4283 0.4766 7.64 0.17 0.4558 0.4521 7.58 0.17 0.4691 0.4389 7.53 0.17 0.4897 0.4198 7.39 0.17 T = 308.15 K 15 0.5075 0.4065 7.21 0.18 0.5281 0.3872 6.99 0.18 0.5474 0.3658 6.76 0.18 0.5785 0.3356 6.31 0.17 0.6138 0.3006 5.73 0.16 0.6316 0.2802 5.44 0.15 0.6571 0.2548 5.01 0.15 0.6746 0.2362 4.74 0.14 0.6904 0.2279 4.46 0.14 0.7382 0.1952 3.64 0.15 0.7562 0.1832 3.33 0.15 0.7985 0.1488 2.70 0.14 0.8172 0.1298 2.50 0.13 o-Chlorotoluene (1) + tetrahydropyran (2) + N,N-dimethylformamide (3) T = 298.15 K 0.0896 0.8436 2.02 0.01 0.1045 0.8203 2.39 0.01 0.1257 0.8012 2.63 0.01 0.1502 0.7587 3.34 0.01 0.1701 0.7362 3.64 0.01 0.1872 0.7145 3.95 0.01 0.2034 0.6987 4.12 0.01 0.2216 0.6701 4.56 0.00 0.2511 0.6501 4.58 0.03 0.2734 0.6318 4.63 0.04 0.2942 0.6101 4.79 0.05 0.3154 0.5911 4.84 0.06 0.3597 0.5508 4.91 0.07 0.3812 0.5217 5.23 0.06 0.4027 0.5002 5.30 0.07 0.4389 0.4628 5.42 0.08 16 0.4588 0.4583 4.95 0.07 0.4995 0.4212 4.87 0.09 0.5178 0.4055 4.79 0.07 0.5334 0.3863 4.90 0.10 0.5759 0.3427 4.87 0.10 0.6129 0.3065 4.73 0.08 0.6395 0.2871 4.41 0.08 0.6598 0.2684 4.26 0.08 0.6971 0.2356 3.89 0.07 0.7156 0.2202 3.68 0.07 0.7345 0.2055 3.43 0.07 0.7521 0.1898 3.22 0.07 0.7793 0.1698 2.83 0.07 0.7954 0.1495 2.70 0.05 0.8143 0.1245 2.49 0.03 0.8372 0.1045 2.16 0.02 0.0896 0.8436 2.20 0.01 0.1045 0.8203 2.58 0.01 0.1257 0.8012 2.81 0.01 0.1502 0.7587 3.55 0.01 0.1701 0.7362 3.85 0.01 0.1872 0.7145 4.17 0.01 0.2034 0.6987 4.33 0.01 0.2216 0.6701 4.79 0.01 0.2511 0.6501 4.78 0.03 0.2734 0.6318 4.82 0.04 0.2942 0.6101 4.98 0.05 0.3154 0.5911 5.03 0.06 0.3597 0.5508 5.08 0.07 0.3812 0.5217 5.41 0.07 T =303.15 K 17 0.4027 0.5002 5.48 0.07 0.4389 0.4628 5.60 0.08 0.4588 0.4583 5.09 0.07 0.4995 0.4212 5.00 0.10 0.5178 0.4055 4.91 0.07 0.5334 0.3863 5.02 0.10 0.5759 0.3427 4.99 0.10 0.6129 0.3065 4.84 0.08 0.6395 0.2871 4.50 0.08 0.6598 0.2684 4.34 0.08 0.6971 0.2356 3.97 0.07 0.7156 0.2202 3.74 0.07 0.7345 0.2055 3.48 0.07 0.7521 0.1898 3.27 0.07 0.7793 0.1698 2.86 0.07 0.7954 0.1495 2.74 0.05 0.8143 0.1245 2.56 0.03 0.8372 0.1045 2.22 0.02 0.0896 0.8436 2.36 0.01 0.1045 0.8203 2.75 0.01 0.1257 0.8012 2.97 0.01 0.1502 0.7587 3.74 0.01 0.1701 0.7362 4.04 0.01 0.1872 0.7145 4.36 0.01 0.2034 0.6987 4.53 0.01 0.2216 0.6701 5.00 0.01 0.2511 0.6501 4.98 0.03 0.2734 0.6318 5.02 0.04 0.2942 0.6101 5.18 0.05 0.3154 0.5911 5.22 0.06 T = 308.15 K 18 0.3597 0.5508 5.27 0.07 0.3812 0.5217 5.61 0.07 0.4027 0.5002 5.67 0.07 0.4389 0.4628 5.79 0.08 0.4588 0.4583 5.26 0.07 0.4995 0.4212 5.15 0.10 0.5178 0.4055 5.05 0.07 0.5334 0.3863 5.17 0.10 0.5759 0.3427 5.12 0.10 0.6129 0.3065 4.96 0.08 0.6395 0.2871 4.60 0.08 0.6598 0.2684 4.44 0.08 0.6971 0.2356 4.04 0.07 0.7156 0.2202 3.81 0.07 0.7345 0.2055 3.54 0.07 0.7521 0.1898 3.33 0.07 0.7793 0.1698 2.90 0.07 0.7954 0.1495 2.79 0.05 0.8143 0.1245 2.63 0.03 0.8372 0.1045 2.28 0.02 o-Chlorotoluene (1) + tetrahydropyran (2) + cyclohexane (3) T = 298.15 K 0.1512 0.7708 1.45 –0.11 0.1787 0.7348 1.85 –0.11 0.1998 0.7086 2.17 –0.12 0.2192 0.6845 2.46 –0.12 0.2378 0.6653 2.74 –0.11 0.2564 0.6476 3.00 –0.10 0.2758 0.6278 3.27 –0.09 0.2972 0.6041 3.54 –0.09 0.3169 0.5879 3.77 –0.08 19 0.3365 0.5673 3.96 –0.07 0.3512 0.5534 4.08 –0.07 0.3732 0.5329 4.24 –0.06 0.3938 0.5149 4.35 –0.05 0.4361 0.4755 4.44 –0.03 0.4545 0.4571 4.41 –0.03 0.4736 0.4339 4.29 –0.04 0.4923 0.4167 4.20 –0.03 0.5027 0.4067 4.13 –0.03 0.5238 0.3889 4.01 –0.03 0.5437 0.3683 3.80 –0.03 0.5578 0.3459 3.47 –0.05 0.5783 0.3274 3.25 –0.05 0.5963 0.3084 2.99 –0.05 0.6164 0.2848 2.62 –0.06 0.6342 0.2679 2.39 –0.06 0.6517 0.2587 2.34 –0.05 0.6746 0.2375 2.05 –0.05 0.6939 0.2176 1.77 –0.05 0.7149 0.1987 1.54 –0.05 0.7363 0.1784 1.30 –0.06 0.7684 0.1562 1.10 –0.05 0.7978 0.1364 0.93 –0.04 0.1512 0.7708 1.47 –0.11 0.1787 0.7348 1.90 –0.11 0.1998 0.7086 2.24 –0.11 0.2192 0.6845 2.56 –0.12 0.2378 0.6653 2.87 –0.11 0.2564 0.6476 3.16 –0.10 0.2758 0.6278 3.46 –0.09 T = 303.15 K 20 0.2972 0.6041 3.76 –0.09 0.3169 0.5879 4.02 –0.07 0.3365 0.5673 4.23 –0.07 0.3512 0.5534 4.37 –0.06 0.3732 0.5329 4.55 –0.06 0.3938 0.5149 4.67 –0.05 0.4361 0.4755 4.77 –0.03 0.4545 0.4571 4.73 –0.03 0.4736 0.4339 4.59 –0.04 0.4923 0.4167 4.49 –0.03 0.5027 0.4067 4.41 –0.03 0.5238 0.3889 4.27 –0.02 0.5437 0.3683 4.03 –0.03 0.5578 0.3459 3.65 –0.05 0.5783 0.3274 3.41 –0.04 0.5963 0.3084 3.12 –0.05 0.6164 0.2848 2.72 –0.06 0.6342 0.2679 2.47 –0.06 0.6517 0.2587 2.41 –0.04 0.6746 0.2375 2.11 –0.05 0.6939 0.2176 1.82 –0.05 0.7149 0.1987 1.58 –0.05 0.7363 0.1784 1.33 –0.06 0.7684 0.1562 1.13 –0.05 0.7978 0.1364 0.96 –0.04 0.1512 0.7708 1.49 –0.11 0.1787 0.7348 1.95 –0.11 0.1998 0.7086 2.32 –0.11 0.2192 0.6845 2.67 –0.11 0.2378 0.6653 2.99 –0.11 T = 308.15 K 21 0.2564 0.6476 3.32 –0.10 0.2758 0.6278 3.65 –0.09 0.2972 0.6041 3.98 –0.09 0.3169 0.5879 4.27 –0.07 0.3365 0.5673 4.51 –0.07 0.3512 0.5534 4.67 –0.06 0.3732 0.5329 4.86 –0.05 0.3938 0.5149 5.01 –0.04 0.4361 0.4755 5.11 –0.03 0.4545 0.4571 5.07 –0.03 0.4736 0.4339 4.91 –0.04 0.4923 0.4167 4.79 –0.03 0.5027 0.4067 4.70 –0.03 0.5238 0.3889 4.54 –0.02 0.5437 0.3683 4.27 –0.03 0.5578 0.3459 3.85 –0.05 0.5783 0.3274 3.59 –0.04 0.5963 0.3084 3.26 –0.05 0.6164 0.2848 2.83 –0.06 0.6342 0.2679 2.56 –0.06 0.6517 0.2587 2.49 –0.04 0.6746 0.2375 2.17 –0.04 0.6939 0.2176 1.87 –0.05 0.7149 0.1987 1.62 –0.05 0.7363 0.1784 1.38 –0.06 0.7684 0.1562 1.17 –0.05 0.7978 0.1364 0.99 –0.04 22 References 1. 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