Nitrogen has a normal boiling point of 77.3 K and a melting point (at 1 atm) of 63.1 K . Its cri

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Nitrogen has a normal boiling point of 77.3 K and a melting...

Nitrogen has a normal boiling point of 77.3 $\mathrm{K}$ and a melting point (at 1 atm) of 63.1 $\mathrm{K}$ . Its critical temperature is 126.2 $\mathrm{K}$ and its critical pressure is $2.55 \times 10^{4}$ torr. It has a triple point at 63.1 $\mathrm{K}$ and 94.0 torr. Sketch the phase diagram for nitrogen. Does nitrogen have a stable liquid state at 1 $\mathrm{atm} ?$

Key Concepts

Phase Stability and Equilibrium

Phase stability refers to the conditions under which a particular phase exists stably. By analyzing the phase diagram at different pressures and temperatures, one can determine whether a stable liquid, solid, or gas phase is present. For instance, understanding the relationship between normal boiling point, melting point, and atmospheric pressure is essential in evaluating if the liquid state can exist under specific conditions like 1 atm.

Phase Diagram

A phase diagram is a graphical representation that shows the state of a substance (solid, liquid, gas) under different temperature and pressure conditions. It highlights the boundaries between phases, such as melting and boiling curves, and includes key points like the triple point and critical point, which are essential for understanding where phase transitions occur.

Triple Point

The triple point is the unique combination of pressure and temperature at which three phases—solid, liquid, and gas—can coexist in equilibrium. It provides a reference state for the substance and is crucial in defining the lower limits of the liquid state on a phase diagram.

Critical Point

The critical point represents the end point of the liquid-gas phase boundary. Beyond the critical temperature and pressure, the distinction between liquid and gas phases disappears, and the substance becomes a supercritical fluid with properties of both phases.

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