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Physics / An Introduction to Thermal Physics 1 / Chapter 5 / Problem 9P

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

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Sketch a qualitatively accurate graph of G vs. T for a

Chapter 5, Problem 9P

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QUESTION: Sketch a qualitatively accurate graph of G vs. T for a pure substance as it changes from solid to liquid to gas at fixed pressure. Think carefully about the slope of the graph. Mark the points of the phase transformations and discuss the features of the graph briefly.

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QUESTION: Sketch a qualitatively accurate graph of G vs. T for a pure substance as it changes from solid to liquid to gas at fixed pressure. Think carefully about the slope of the graph. Mark the points of the phase transformations and discuss the features of the graph briefly.

ANSWER:

Step 1 of 3

The Gibbs energy is given by

a plot between and , is simply a line graph where the slope of the graph is the negative entropy ,the entropy is the lowest for the solid, and since the slope is negative, the line for the solid will have the highest value in the vertical axis, as shown in the figure. Then the substance melts into a liquid, the entropy of the liquid is larger than the entropy of the solid, and finally it evaporates to a gas with an entropy larger than the entropy of the liquid, therefore the graph looks like this

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