Apply Trouton's rule to estimate the value of AH vap for these compounds.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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### Educational Resource on Trouton's Rule

**Understanding Trouton's Rule**

Trouton's rule states that the molar enthalpy of vaporization (ΔH_vap) of a liquid that lacks strong molecular interactions (such as hydrogen bonding or ion-ion attractions) can be estimated using the relationship:

\[ \Delta H_{\text{vap}} = \left( 85 \: \text{J} \cdot \text{K}^{-1} \cdot \text{mol}^{-1} \right) T_b \]

where:
- \( \Delta H_{\text{vap}} \) is the molar enthalpy of vaporization.
- \( T_b \) is the normal boiling point of the liquid in kelvins (K).

### Data Table

The table below lists the chemical formulas, molar enthalpies of vaporization (ΔH_vap), boiling points (in K), and molar enthalpies of fusion (ΔH_fus) for different compounds:

| Compound          | Chemical formula | \( \Delta H_{\text{vap}} \) (kJ·mol\(^{-1}\)) | Boiling point (K) | \( \Delta H_{\text{fus}} \) (kJ·mol\(^{-1}\)) |
|----------------------|-------------------|----------------------------------|-------------------|---------------------------------|
| chloromethane    | CH\(_3\)Cl               | 21.40                            | 249.06            | 6.43                           |
| water                    | H\(_2\)O                    | 40.65                            | 373.15            | 6.01                          |
| hydrogen sulfide | H\(_2\)S                   | 18.67                            | 213.60            | 18.67                         |

### Applying Trouton's Rule

To estimate the value of \( \Delta H_{\text{vap}} \) for chloromethane using Trouton's rule, substitute the normal boiling point (\( T_b \)) of chloromethane into the equation:

\[ \Delta H_{\text{vap}} = ( 85 \: \text{J} \cdot \text{K}^{-1} \cdot \text{mol}^{-1} ) \times T_b \]

Given:
- \( T_b \) for chloromethane = 249.06 K

Therefore
Transcribed Image Text:### Educational Resource on Trouton's Rule **Understanding Trouton's Rule** Trouton's rule states that the molar enthalpy of vaporization (ΔH_vap) of a liquid that lacks strong molecular interactions (such as hydrogen bonding or ion-ion attractions) can be estimated using the relationship: \[ \Delta H_{\text{vap}} = \left( 85 \: \text{J} \cdot \text{K}^{-1} \cdot \text{mol}^{-1} \right) T_b \] where: - \( \Delta H_{\text{vap}} \) is the molar enthalpy of vaporization. - \( T_b \) is the normal boiling point of the liquid in kelvins (K). ### Data Table The table below lists the chemical formulas, molar enthalpies of vaporization (ΔH_vap), boiling points (in K), and molar enthalpies of fusion (ΔH_fus) for different compounds: | Compound | Chemical formula | \( \Delta H_{\text{vap}} \) (kJ·mol\(^{-1}\)) | Boiling point (K) | \( \Delta H_{\text{fus}} \) (kJ·mol\(^{-1}\)) | |----------------------|-------------------|----------------------------------|-------------------|---------------------------------| | chloromethane | CH\(_3\)Cl | 21.40 | 249.06 | 6.43 | | water | H\(_2\)O | 40.65 | 373.15 | 6.01 | | hydrogen sulfide | H\(_2\)S | 18.67 | 213.60 | 18.67 | ### Applying Trouton's Rule To estimate the value of \( \Delta H_{\text{vap}} \) for chloromethane using Trouton's rule, substitute the normal boiling point (\( T_b \)) of chloromethane into the equation: \[ \Delta H_{\text{vap}} = ( 85 \: \text{J} \cdot \text{K}^{-1} \cdot \text{mol}^{-1} ) \times T_b \] Given: - \( T_b \) for chloromethane = 249.06 K Therefore
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