Carbon tetrachloride (CCl4) was once used as a refrigerant and a dry cleaning solvent until it was found to be severely toxic to the liver. The enthalpy of vaporization of CCl4 is 33.05 kJ/mol and its normal boiling point is 76.72°C. What is its vapor pressure in atm at 57.8°C?

Respuesta :

Answer : The vapor pressure of [tex]CCl_4[/tex] at [tex]57.8^oC[/tex] is 0.519 atm.

Explanation :

The Clausius- Clapeyron equation is :

[tex]\ln (\frac{P_2}{P_1})=\frac{\Delta H_{vap}}{R}\times (\frac{1}{T_1}-\frac{1}{T_2})[/tex]

where,

[tex]P_1[/tex] = vapor pressure of [tex]CCl_4[/tex] at [tex]57.8^oC[/tex] = ?

[tex]P_2[/tex] = vapor pressure of [tex]CCl_4[/tex] at normal boiling point = 1 atm

[tex]T_1[/tex] = temperature of [tex]CCl_4[/tex] = [tex]57.8^oC=273+57.8=330.8K[/tex]

[tex]T_2[/tex] = normal boiling point of [tex]CCl_4[/tex] = [tex]76.72^oC=273+76.72=349.72K[/tex]

[tex]\Delta H_{vap}[/tex] = heat of vaporization [tex]CCl_4[/tex] = 33.05 kJ/mole = 33050 J/mole

R = universal constant = 8.314 J/K.mole

Now put all the given values in the above formula, we get:

[tex]\ln (\frac{1atm}{P_1})=\frac{33050J/mole}{8.314J/K.mole}\times (\frac{1}{330.8K}-\frac{1}{349.72K})[/tex]

[tex]P_1=0.5219atm[/tex]

Hence, the vapor pressure of [tex]CCl_4[/tex] at [tex]57.8^oC[/tex] is 0.519 atm.

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