Question

Trouton's rule states that the molar enthalpy of vaporization of a liquid that does not have strong molecular interactions such as hydrogen bonding or ion-ion attractions is given by Boiling Chemical Compound formula AH yap (kJ-moll) point Hus (kJ.mol-) (K) chloromethane CH CI 21.40 249.06 6.43 water HO 40.65 373.15 6.01 hydrogen H,S 18.67 213.60 18.67 sulfide A Hvap = (85J.K-. mol-?)T where T, is the normal boiling point of the liquid in kelvins. Apply Trouton's rule to estimate the value of AH yap for these compounds. chloromethane: AH ap = kJ/mol water: AH vap= kJ/mol

Answer 1

Following is the - complete Answer -&- Explanation: for the given: Question: in....typed format....

$\Rightarrow$Answer:

1. Chloromethane: calculated: $\Delta$ H_vap =  21.17 kJ/mol
2. Water: calculated: $\Delta$ H_vap =  31.71 kJ/mol
3. Hydrogen sulfide: calculated: $\Delta$ H_vap =  18.156 kJ/mol
4. Chloromethane: %error = -1.07 %
5. Water: %error = -21.97 %
6. Hydrogen sulfide: %error = - 2.75 %

$\Rightarrow$Explanation:

Following is the complete Explanation: for the above: Answer.

• Given:

We are given with the following: information:

compound	chemical formula	Theoritical heat of vaporization; $\Delta$ Hvap	Boiling point, Tb , Kelvin ( K )
chloromethane	CH3Cl	$\Delta$Hvap = 21.40 kJ/mol	Tb = 249.06 K ( Kelvin )
Water	H2O	$\Delta$Hvap = 40.65 kJ/mol	Tb = 373.15 K ( Kelvin )
Hydrogen sulfide	H2S	$\Delta$Hvap = 18.67 kJ/mol	Tb = 213.6 K ( Kelvin )

• Step - 1:

​​​​​​​We know that: according to Trouton's rule: the following:

$\Rightarrow$ Calculated: $\Delta$ H_vap =  ( 85.0 J / K. mol ) x ( T_b ) -------------------------Equation - 1

• Step - 2:

​​​​​​​Using the given: information: and Equation - 1; we can form the following table: using MS Excel: presented below, in image format....

Compounds Boiling point (Th, Kelvin ) Calculated, delta Hvap (/mol) Calculated, delta Hvap( kJ/mol) Chloromethane Water Hydrogen sulfide 249.06 373.15 213.6 21170.1 31717.75 18156 21.1701 31.71775 18.156

• Step - 3:

​​​​​​​We know: we can calculate, the percent errors: in the above calculations, for each of the compounds using the following: formula:

$\Rightarrow$  i.e. percent error = { [ calculated $\Delta$ H_vap - Theoritical $\Delta$ H_vap ] /  ( Theoritical $\Delta$ H_vap) } x 100.0 % --- Equation - 2

• Step - 4:

​​​​​​​Using the above information and Equation - 2: and using MS Excel: we get the following: table: in....image format...

Compounds Chloromethane Water Hydrogen sulfide Boiling point (Tb, Kelvin) Calculated, delta Hvap (/mol) Calculated, delta Hvap( kJ/mol) Theoritical delta Hvap: (kJ/mol) %error 249.06 21170.1 21.1701 21.4 -1.07429907 373.15 31717.75 31.71775 40.65 -21.9735547 213.6) 18156 18.156 18.67| -2.75307981