: A certain liquid has a vapor pressure of 6.91 mmHg at 0 °C. If this liquid has a normal boiling point of 105 °C, what is the liquid's heat of vaporization in kJ/mol?

Respuesta :

Answer:

liquid's heat of vaporization = 38.4 kJ/mol

Explanation:

given data

vapor pressure P1 = 6.91 mmHg

at temperature = 0 °C = 273.15 K

boiling temperature = 105 °C

solution

for vapor pressure and temperature we get here

P2 = 760.0 mmHg

T2 = 68.73°C = 378.15 K

we use here the Clausius-Clapeyron Equation that is

ln [tex]\frac{P1}{P2}[/tex] = [tex]\frac{\Delta H}{R} (\frac{1}{T2} -\frac{1}{T1} )[/tex]     .................1

put here value

In [tex]\frac{6.91}{760} = \frac{x}{8.31447} (\frac{1}{378.15} -\frac{1}{273.15} )[/tex]

solve it we get

x = 38445 J/mol

liquid's heat of vaporization = 38.4 kJ/mol

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