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# 数学代写|信息论代写Information Theory代考|INF563 Solid–Gas Transition

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## 数学代写|信息论代写Information Theory代考|Solid–Gas Transition

The line SG in Fig. 2.9 is the line along in which solid and gas coexist. The slope of this curve is given by:
$$\left(\frac{d P}{d T}\right)_{e q}=\frac{\Delta S_s}{\Delta V_s}$$
In the process of sublimation $(s)$, the entropy-change and the volume change for both are always positive. We denoted by $\Delta V_s$ the change in the volume of one mole of the substance, when it is transferred from the solid to the gaseous phase. This volume change is always positive. The reason is that a mole of the substance occupies a much larger volume in the gaseous phase than in the liquid phase (at the same temperature and pressure).

The entropy-change $\Delta S_s$ is also positive. This entropy-change is traditionally interpreted in terms of transition from an ordered phase (solid) to a disordered (gaseous) phase. However, the more correct interpretation is that the entropy-change is due to two factors; the huge increase in the accessible volume available to each particle and the decrease in the extent of the intermolecular interaction. Note that the slope of the SG curve is quite small (but positive) due to the large $\Delta V_s$.

## 数学代写|信息论代写Information Theory代考|Liquid–Gas Transition

The line LG in Fig. 2.9 is the line along which liquid and gaseous phases coexist. In this case the slope of the curve is also positive. Both the entropy and the volume change in the vaporization processes are positive. Again, traditionally the entropy of vaporization is interpreted in terms of order-disorder. This interpretation is unfortunately incorrect. It is difficult to argue that gas is more disordered than liquid. The correct interpretation is again the change in the accessible volume per particle, and the weakening of the average intermolecular interactions in the process of the evaporation, hence $\Delta S_v>0$.

It is worthwhile to mention an empirical law known as the Trouton Law. It states that the entropy of vaporization at one atmospheric pressure of many liquids is almost constant;
$$\Delta S_v \approx 85-87 / \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}$$
Table 2.1 shows a few values of the entropy of vaporization. Note that the values of $\Delta S_v$ for liquids with strong interactions, such as water, ethanol, and methanol, are much larger than the values for the other liquids.

## 数学代写|信息论代写Information Theory代䒓|Solid-Gas Transition

$$\left(\frac{d P}{d T}\right)_{e q}=\frac{\Delta S_s}{\Delta V_s}$$

## 数学代写|信息论代写Information Theory代考|Liquid-Gas Transition

$$\Delta S_v \approx 85-87 / \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}$$

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