Question

Calculate the boiling temperature of benzene when the atmospheric pressure is 500 torr

Answer 1

Answer:

Benzene has the boiling temperature 80°C .

Answer 2

The boiling temperature of benzene when the atmospheric pressure is 500 torr is 340.93 K

Explanation:

To calculate the boiling point at given pressure, we use the Clausius-Clayperon equation, which is:

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

where,

$P_1$ = initial pressure which is the pressure at normal boiling point = 1 atm  = 760 torr

$P_2$ = final pressure = 500 torr

$\Delta H_{vap}$ = Heat of vaporization = 33.9 kJ/mol = 33900 J/mol     (Conversion factor: 1 kJ = 1000 J)

R = Gas constant = 8.314 J/mol K

$T_1$ = initial temperature or normal boiling point = 353.3 K

$T_2$ = final temperature = ?

Putting values in above equation, we get:

$\ln(\frac{500}{760})=\frac{33900J/mol}{8.314J/mol.K}[\frac{1}{353.3}-\frac{1}{T_2}]\\\\T_2=340.93K$

Learn more about Clausius-Clayperon equation:

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