Question

The estimated heat of vaporization of diethyl ether using the Chen's rule is A. 29.7 KJ/mol B. 33.5 KJ/mol C. 26.4 KJ/mol D. 36.8 kJ/mol

Answer 1

C. 26.4 kJ/mol

Step-by-step explanation:

The Chen's rule for the calculation of heat of vaporization is shown below:

`\Delta H_v=RT_b\left [ (3.974\left ( (T_b)/(T_c) \right )-3.958+1.555lnP_c)/(1.07-\left ( (T_b)/(T_c) \right )) \right ]`

Where,

`\Delta H_v` is the Heat of vaoprization (J/mol)

`T_b` is the normal boiling point of the gas (K)

`T_c` is the Critical temperature of the gas (K)

`P_c` is the Critical pressure of the gas (bar)

R is the gas constant (8.314 J/Kmol)

For diethyl ether:

`T_b=307.4\ K`

`T_c=466.7\ K`

`P_c=36.4\ bar`

Applying the above equation to find heat of vaporization as:

`\Delta H_v=8.314*307.4 \left [ (3.974\left ( (307.4)/(466.7) \right )-3.958+1.555ln36.4)/(1.07-\left ( (307.4)/(466.7) \right )) \right ]`

`\Delta H_v=26400 J/mol`

The conversion of J into kJ is shown below:

1 J = 10⁻³ kJ

Thus,

`\Delta H_v=26.4 kJ/mol`

Option C is correct