| Summary: | The physicochemical properties of four 1-alkyl-3-methylimidazolium bromide ([C<sub>n</sub>C<sub>1</sub>im]Br, n = 5, 6, 7, 8) ionic liquids (ILs) were investigated in this work by using inverse gas chromatography (IGC) from 303.15 K to 343.15 K. Twenty-eight organic solvents were used to obtain the physicochemical properties between each IL and solvent via the IGC method, including the specific retention volume and the Flory–Huggins interaction parameter. The Hildebrand solubility parameters of the four [C<sub>n</sub>C<sub>1</sub>im]Br ILs were determined by linear extrapolation to be <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>δ</mi> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <mo stretchy="false">[</mo> <msub> <mi mathvariant="normal">C</mi> <mn>5</mn> </msub> <msub> <mi mathvariant="normal">C</mi> <mn>1</mn> </msub> <mi>im</mi> <mo stretchy="false">]</mo> <mi>Br</mi> <mo stretchy="false">)</mo> </mrow> </msub> </mrow> </semantics> </math> </inline-formula> = 25.78 (J·cm<sup>−3</sup>)<sup>0.5</sup>, <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>δ</mi> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <mo stretchy="false">[</mo> <msub> <mi mathvariant="normal">C</mi> <mn>6</mn> </msub> <msub> <mi mathvariant="normal">C</mi> <mn>1</mn> </msub> <mi>im</mi> <mo stretchy="false">]</mo> <mi>Br</mi> <mo stretchy="false">)</mo> </mrow> </msub> </mrow> </semantics> </math> </inline-formula> = 25.38 (J·cm<sup>−3</sup>)<sup>0.5</sup>, <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>δ</mi> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <mo stretchy="false">[</mo> <msub> <mi mathvariant="normal">C</mi> <mn>7</mn> </msub> <msub> <mi mathvariant="normal">C</mi> <mn>1</mn> </msub> <mi>im</mi> <mo stretchy="false">]</mo> <mi>Br</mi> <mo stretchy="false">)</mo> </mrow> </msub> </mrow> </semantics> </math> </inline-formula> =24.78 (J·cm<sup>−3</sup>)<sup>0.5</sup> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>δ</mi> <mrow> <mn>2</mn> <mo stretchy="false">(</mo> <mo stretchy="false">[</mo> <msub> <mi mathvariant="normal">C</mi> <mn>8</mn> </msub> <msub> <mi mathvariant="normal">C</mi> <mn>1</mn> </msub> <mi>im</mi> <mo stretchy="false">]</mo> <mi>Br</mi> <mo stretchy="false">)</mo> </mrow> </msub> </mrow> </semantics> </math> </inline-formula> = 24.23 (J·cm<sup>−3</sup>)<sup>0.5</sup> at room temperature (298.15 K). At the same time, the Hansen solubility parameters of the four [C<sub>n</sub>C<sub>1</sub>im]Br ILs were simulated by using the Hansen Solubility Parameter in Practice (HSPiP) at room temperature (298.15 K). The results were as follows: <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>δ</mi> <mrow> <mi mathvariant="normal">t</mi> <mo stretchy="false">(</mo> <mo stretchy="false">[</mo> <msub> <mi mathvariant="normal">C</mi> <mn>5</mn> </msub> <msub> <mi mathvariant="normal">C</mi> <mn>1</mn> </msub> <mi>im</mi> <mo stretchy="false">]</mo> <mi>Br</mi> <mo stretchy="false">)</mo> </mrow> </msub> </mrow> </semantics> </math> </inline-formula> = 25.86 (J·cm<sup>−3</sup>)<sup>0.5</sup>, <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>δ</mi> <mrow> <mi mathvariant="normal">t</mi> <mo stretchy="false">(</mo> <mo stretchy="false">[</mo> <msub> <mi mathvariant="normal">C</mi> <mn>6</mn> </msub> <msub> <mi mathvariant="normal">C</mi> <mn>1</mn> </msub> <mi>im</mi> <mo stretchy="false">]</mo> <mi>Br</mi> <mo stretchy="false">)</mo> </mrow> </msub> </mrow> </semantics> </math> </inline-formula> = 25.39 (J·cm<sup>−3</sup>)<sup>0.5</sup>, <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>δ</mi> <mrow> <mi mathvariant="normal">t</mi> <mo stretchy="false">(</mo> <mo stretchy="false">[</mo> <msub> <mi mathvariant="normal">C</mi> <mn>7</mn> </msub> <msub> <mi mathvariant="normal">C</mi> <mn>1</mn> </msub> <mi>im</mi> <mo stretchy="false">]</mo> <mi>Br</mi> <mo stretchy="false">)</mo> </mrow> </msub> </mrow> </semantics> </math> </inline-formula> = 24.81 (J·cm<sup>−3</sup>)<sup>0.5</sup> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>δ</mi> <mrow> <mi mathvariant="normal">t</mi> <mo stretchy="false">(</mo> <mo stretchy="false">[</mo> <msub> <mi mathvariant="normal">C</mi> <mn>8</mn> </msub> <msub> <mi mathvariant="normal">C</mi> <mn>1</mn> </msub> <mi>im</mi> <mo stretchy="false">]</mo> <mi>Br</mi> <mo stretchy="false">)</mo> </mrow> </msub> </mrow> </semantics> </math> </inline-formula> = 24.33 (J·cm<sup>−3</sup>)<sup>0.5</sup>. These values were slightly higher than those obtained by the IGC method, but they only exhibited small errors, covering a range of 0.01 to 0.1 (J·cm<sup>−3</sup>)<sup>0.5</sup>. In addition, the miscibility between the IL and the probe was evaluated by IGC, and it exhibited a basic agreement with the HSPiP. This study confirms that the combination of the two methods can accurately calculate solubility parameters and select solvents.
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