Predict the sign of ΔSsys for each of the following processes: (d) Calcium phosphate precipitates upon mixing Ca(NO3)2(aq) and (NH4)3PO4(aq).
Ch.19 - Chemical Thermodynamics
Chapter 19, Problem 50
Three of the forms of elemental carbon are graphite, diamond, and buckminsterfullerene. The entropies at 298 K for graphite and diamond are listed in Appendix C. (b) What would you expect for the S° value of buckminsterfullerene (Figure 12.49, p. 509) relative to the values for graphite and diamond? Explain.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Entropy (S°)
Entropy is a measure of the disorder or randomness in a system. It quantifies the number of possible microstates that correspond to a given macrostate. In thermodynamics, higher entropy values indicate greater disorder and more available energy states, which is crucial for understanding the stability and reactivity of substances.
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Allotropes of Carbon
Allotropes are different structural forms of the same element, in this case, carbon. Graphite, diamond, and buckminsterfullerene (C60) are distinct allotropes with unique arrangements of carbon atoms, leading to different physical and chemical properties, including variations in entropy due to differences in molecular structure and bonding.
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Comparative Entropy of Allotropes
When comparing the entropies of different allotropes, one must consider their molecular complexity and structural arrangements. Graphite, with its layered structure, typically has higher entropy than diamond, which has a rigid three-dimensional lattice. Buckminsterfullerene, being a spherical molecule with a unique structure, is expected to have an entropy value that reflects its complexity, likely falling between those of graphite and diamond.
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Related Practice
Textbook Question
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Textbook Question
Cyclopropane and propylene are isomers that both have the formula C3H6. Based on the molecular structures shown, which of these isomers would you expect to have the higher standard molar entropy at 25 °C?
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Textbook Question
The standard entropies at 298 K for certain group 4A elements are: C(s, diamond) = 2.43 J>mol@K, Si1s2 = 18.81 J>mol@K, Ge1s2 = 31.09 J>mol@K, and Sn1s2 = 51.818 J>mol@K. All but Sn have the same (diamond) structure. How do you account for the trend in the S° values?
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Textbook Question
Using S° values from Appendix C, calculate ΔS° values for the following reactions. In each case, account for the sign of ΔS°.
d. 2 CH3OH(𝑔) + 3 O2(𝑔) ⟶ 2 CO2(𝑔) + 4 H2O(𝑔)
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Textbook Question
(a) For a process that occurs at constant temperature, does the change in Gibbs free energy depend on changes in the enthalpy and entropy of the system?
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Textbook Question
For a certain chemical reaction, ΔH° = -35.4 kJ and ΔS° = -85.5 J/K. (b) Does the reaction lead to an increase or decrease in the randomness or disorder of the system?
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