The vapor pressure of ethanol, C2 H5 OH, at 50.0 ^∘ C is 233 mm Hg, and its normal boiling poin

step 1 In this video, we want to solve for the delta H vaporization of ethanol, and we're just going to

The vapor pressure of ethanol, C2 H5 OH, at 50.0 ^∘ C is 233...

The vapor pressure of ethanol, $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$, at $50.0{ }^{\circ} \mathrm{C}$ is $233 \mathrm{~mm} \mathrm{Hg}$, and its normal boiling point at $1 \mathrm{~atm}$ is $78.3^{\circ} \mathrm{C}$. What is the $\Delta H_{\text {vap }}$ of ethanol?

Key Concepts

Clausius-Clapeyron Equation

The Clausius-Clapeyron equation is a fundamental relation in thermodynamics that describes how the vapor pressure of a substance varies with temperature. It expresses the linear relationship between the natural logarithm of the vapor pressure and the inverse of the temperature, which can be used to determine the enthalpy of vaporization when vapor pressures at different temperatures are known.

Enthalpy of Vaporization

The enthalpy of vaporization is the amount of heat required to convert one mole of a liquid into its vapor phase at constant pressure. This quantity reflects the strength of the intermolecular forces present in the liquid, with greater values indicating stronger attractions that must be overcome for phase change.

Vapor Pressure

Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its liquid (or solid) phase at a given temperature. It provides a measure of a substance's volatility and directly affects phase transitions such as boiling.

Boiling Point

The boiling point is defined as the temperature at which a liquid's vapor pressure equals the external pressure, typically 1 atmosphere. It is a critical parameter in phase change processes since it marks the condition where rapid vaporization occurs.

Temperature Conversion

Temperature conversion, specifically converting from Celsius to Kelvin, is essential in thermodynamic calculations. The Kelvin scale is used in equations like the Clausius-Clapeyron equation because it is an absolute temperature scale and ensures accurate determination of thermodynamic properties.

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