(a) Use the Clausius-Clapeyron equation to calculate the...

(a) Use the Clausius-Clapeyron equation to calculate the temperature $\left({ }^{\circ} \mathrm{C}\right)$ at which pure water would boil at a pressure of $400.0$ torr. (b) Compare this result with the temperature read from Figure 13-13. (c) Compare the results of (a) and (b) with a value obtained from Appendix $\mathrm{E}$.

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Key Concepts

Pressure Conversion

Accurate calculations in thermodynamics often require converting between different pressure units. For example, converting torr to atmospheres or Pascals ensures that all quantities in the Clausius-Clapeyron equation are expressed in compatible units, leading to correct results.

Vapor Pressure

Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid (or solid) phase at a given temperature. It is a key parameter in phase transitions, as it determines the temperature at which a substance will boil under a specific external pressure.

Clausius-Clapeyron Equation

A fundamental thermodynamic relation that connects the change in vapor pressure with temperature to the latent heat of phase transition. It is used to predict how the boiling point of a liquid shifts with changes in ambient pressure by integrating the relationship between pressure, temperature, and enthalpy of vaporization.

Boiling Point and Phase Equilibrium

The boiling point is the temperature at which a liquid's vapor pressure equals the surrounding pressure, leading to a phase transition from liquid to gas. Understanding phase equilibrium is critical for predicting the conditions necessary for boiling under different pressures.

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