Burdge/Overby, Chemistry: Atoms First, 2e Ch14 | Page 18

SEC TION 14.4 ? Entropy Changes in the Universe 587 Figure 14.5 Entropy increases in a substance as temperature increases from absolute zero. S (J/K ? mol) Boiling (?Svap ) Gas Liquid Melting (?Sfus ) Solid Temperature (K) The entropy values arrived at in this way are called absolute entropies because they are true v ­ alues—unlike standard enthalpies of formation, which are derived using an arbitrary reference. Because the tabulated values are determined at 1 atm, we usually refer to absolute entropies as standard entropies, S°. Figure 14.5 shows the increase in entropy of a substance as temperature increases from absolute zero. At 0 K, it has a zero entropy value (assuming that it is a perfect crystalline substance). As it is heated, its entropy increases gradually at first because of greater molecular motion within the crystal. At the melting point, there is a large increase in entropy as the solid is transformed into the liquid. Further heating increases the entropy of the liquid again due to increased molecular moti ??]H??[[???[? \?H\?H\??H[??X\?H[?[???H\?B??\?[?H\]ZY ]?]?\??[??][???^[?][\\?]\?KH[???H?H?\???[?Y\?[??X\?H?][??X\?[??[\\?]\?K????X?[? M ??]?Y]??[???H?[??\?[?H[?]?\??B?M ? ?BH\?[??]H???H\[?^ ??[?[]H8?!??? [????8?&H[? H??H????[???XX?[???????H ???B??????B??M ? ??H\?[??]H???H\[?^ ??[?[]H8?!??? [????8?&H[? H??H????[???XX?[???? ?H ? ???B?????H ? ? ?? B??M ? ??H??XX??H???\??\?????]H?]\?8?!???\??\???]]?K?Y?]]?K?Y?\?H\???[??Y?[???X][??]\?Z[?HH?Y??8?!???\?????JB???\?LLN ?? M?M? M? ?[? N ???B???B??K?L ?L? L?? HB??