In class, I told you that heat capacities are path dependent quantities. That is why we have Cy and a Cp heat capacities for example. It can be shown that the heat capacity along any path is given by Ст m aUm av T + P where Cm is the molar heat capacity along the path and Cv.m the molar heat capacity at constant volume. The dV/dT term can be evaluated from the equation that relates V and T along the given path. One mole of an ideal gas is heated reversibly along a path such that T-AV² where A is a constant. If the initial temperature is 240.3 K, what must be final temperature in K for the change in entropy of the system to be 19.687 J K-¹?

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter5: Thermochemistry
Section: Chapter Questions
Problem 5.108QE
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In class, I told you that heat capacities are path dependent quantities. That is why we have Cy and a Cp heat capacities for example. It can be shown that the heat capacity along
any path is given by
Ст
m
aUm
av
T
+ P
where Cm is the molar heat capacity along the path and Cv.m the molar heat capacity at constant volume. The dV/dT term can be evaluated from the equation that relates V and T
along the given path.
One mole of an ideal gas is heated reversibly along a path such that T-AV² where A is a constant. If the initial temperature is 240.3 K, what must be final temperature in K for the
change in entropy of the system to be 19.687 J K-¹?
Transcribed Image Text:In class, I told you that heat capacities are path dependent quantities. That is why we have Cy and a Cp heat capacities for example. It can be shown that the heat capacity along any path is given by Ст m aUm av T + P where Cm is the molar heat capacity along the path and Cv.m the molar heat capacity at constant volume. The dV/dT term can be evaluated from the equation that relates V and T along the given path. One mole of an ideal gas is heated reversibly along a path such that T-AV² where A is a constant. If the initial temperature is 240.3 K, what must be final temperature in K for the change in entropy of the system to be 19.687 J K-¹?
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