For mercury, the enthalpy of vaporization is 58.51 kJ / mol and the entropy of vaporization is 9

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For mercury, the enthalpy of vaporization is 58.51 kJ / mol...

For mercury, the enthalpy of vaporization is $58.51 \mathrm{kJ} / \mathrm{mol}$ and the entropy of vaporization is $92.92 \mathrm{J} / \mathrm{K} \cdot$ mol. What is the normal boiling point of mercury?

Key Concepts

Normal Boiling Point

The normal boiling point is the temperature at which a liquid's vapor pressure equals the ambient atmospheric pressure (typically 1 atm). Using the equilibrium condition from thermodynamics, where ?G equals zero, the relationship T = ?H/?S is used to calculate this temperature for a substance.

Enthalpy of Vaporization

This is the amount of energy required to convert one mole of a liquid into vapor at constant pressure. It represents the latent heat needed for the phase change and is a measure of the strength of intermolecular forces in the liquid. A higher enthalpy of vaporization indicates stronger attractions, which must be overcome to vaporize the substance.

Entropy of Vaporization

This quantifies the change in disorder or randomness when a substance undergoes the phase change from liquid to vapor. During vaporization, the molecules move from a more ordered state in the liquid to a more disordered state in the gas, resulting in an increase in entropy.

Gibbs Free Energy and Phase Equilibrium

At the boiling point, the process of vaporization is at equilibrium, meaning the change in Gibbs free energy (?G) is zero. This equilibrium condition is described by the equation ?G = ?H - T?S = 0, which allows one to relate the enthalpy and entropy of vaporization to determine the temperature where liquid and vapor phases coexist.

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