Worksheet: The Clausius–Clapeyron Equation
In this worksheet, we will practice using the Clausius–Clapeyron equation to convert between changes in temperature and vapor pressure.
Under 101.3 kPa of atmospheric pressure, the boiling point of acetone is and the enthalpy of vaporization is 31.3 kJ/mol. Estimate the vapor pressure of acetone at .
The vapor pressure of isooctane is 10.0 kPa at and 100.0 kPa at . Estimate the enthalpy of vaporization of isooctane.
The vapor pressure of ethanol is 5.95 kPa at and 75.0 kPa at . Estimate the enthalpy of vaporization of ethanol.
When the temperature of a liquid is increased, the vapor pressure increases from to . How does the ratio vary with the enthalpy of vaporization?
For a compound , what enthalpy change is associated with the shown process?
- AEnthalpy of fusion
- BEnthalpy of vaporization
- CLattice enthalpy
- DEnthalpy of sublimation
- EEnthalpy of formation
The normal boiling point of is 331.9 K, and its vapor pressure at 298 K is 0.287 bar. Within the approximations inherent to the Clausius-Clapeyron equation, what value of (the molar enthalpy of vaporization) for would be compatible with this data?
- A kJ/mol
- B kJ/mol
- C 33.2 kJ/mol
- D 70.6 kJ/mol
At , the vapor pressure of chloroform is 22.4 kPa and the enthalpy of vaporization is 31.40 kJ/mol. Estimate the boiling point of chloroform under 1 bar of atmospheric pressure.
Under 1.00 bar of atmospheric pressure, the boiling point of furan is and the enthalpy of vaporization is 27.71 kJ/mol. Estimate to 3 significant figures the vapor pressure of furan at .
Under 1.000 bar of atmospheric pressure, the boiling point of nitromethane is . The vapor pressure at is 15.48 kPa. Estimate to 3 significant figures the enthalpy of vaporization of nitromethane.
Which of the following statements is incorrect?
- AThe Clausius–Clapeyron equation can be used in the characterization of solid–liquid phase equilibria.
- BIt is impossible for four phases of a single pure substance to coexist at equilibrium.
- CTwo phases at equilibrium must have the same pressure.
- DThe maximum number of phases that can coexist in a system composed of four components is equal to six.
Which of the following provides a succinct statement of the Clausius inequality?
- A for all isothermal processes carried out reversibly or irreversibly at a constant temperature .
- B for all spontaneous processes occurring in any kind of system.
- C for a spontaneous process occurring in an isolated system.
- D for any reversible process carried out at a constant temperature .