General Chemistry: Principles and Modern Applications (10th Edition)

Published by Pearson Prentice Hal
ISBN 10: 0132064529
ISBN 13: 978-0-13206-452-1

Chapter 19 - Spontaenous Change: Entropy and Gibbs Energy - 19-3 Concept Assessment - Page 838: 19-3

Answer

(1) In the negative energy region, $\Delta H$ as a function of $T$ is a straight line with only a slight slope, either negative or positive. (2) In the same energy region, $T$$\Delta S$ is a line whose a steep negative slope and intersects the $\Delta H$ line. (3) $\Delta G$ is represented by the distance between the $T$$\Delta S$ line and $\Delta H$ line: $\Delta G=0$ at the point of intersection, $\Delta G<0$ at $T$ below the intersection, $\Delta G>0$ at $T$ above the intersection.

Work Step by Step

(1) In the negative energy region, $\Delta H$ as a function of $T$ is a straight line with only a slight slope, either negative or positive. (2) In the same energy region, $T$$\Delta S$ is a line whose a steep negative slope and intersects the $\Delta H$ line. (3) $\Delta G$ is represented by the distance between the $T$$\Delta S$ line and $\Delta H$ line: $\Delta G=0$ at the point of intersection, $\Delta G<0$ at $T$ below the intersection, $\Delta G>0$ at $T$ above the intersection.
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