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Multiple Choice
Benzene has a heat of vaporization of 30.72 kJ/mol and a normal boiling point of 80.1 °C. At what temperature does benzene boil when the external pressure is 410 torr?
A
70.0 °C
B
85.0 °C
C
75.5 °C
D
78.0 °C
Verified step by step guidance
1
First, understand that the problem involves calculating the boiling point of benzene at a different pressure using the Clausius-Clapeyron equation, which relates the change in vapor pressure with temperature.
The Clausius-Clapeyron equation is given by: , where is the heat of vaporization, is the gas constant, and is the temperature in Kelvin.
Convert the normal boiling point of benzene from Celsius to Kelvin: .
Use the Clausius-Clapeyron equation in its integrated form: , where is the normal pressure (760 torr) and is the given pressure (410 torr).
Solve for using the equation above, which will give you the boiling temperature of benzene at 410 torr. Convert the result back to Celsius by subtracting 273.15.