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Ch.19 - Chemical Thermodynamics
Chapter 19, Problem 47

Predict which member of each of the following pairs has the greater standard entropy at 25°C: (a) Sc(s) or Sc(g). Use Appendix C to find the standard entropy of each substance. (b) NH3(g) or NH3(aq). Use Appendix C to find the standard entropy of each substance. (c) O2(g) or O3(g). Use Appendix C to find the standard entropy of each substance. (d) C(graphite) or C(diamond). Use Appendix C to find the standard entropy of each substance.

Verified step by step guidance
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Step 1: Understand the concept of standard entropy. Standard entropy is a measure of the amount of disorder or randomness in a system. Generally, gases have higher entropy than liquids, and liquids have higher entropy than solids due to the increased freedom of movement of particles.
Step 2: For part (a), compare Sc(s) and Sc(g). Recognize that the gaseous state (Sc(g)) typically has a higher entropy than the solid state (Sc(s)) because gas particles are more disordered and have more freedom of movement.
Step 3: For part (b), compare NH3(g) and NH3(aq). Consider that gases usually have higher entropy than aqueous solutions because gas molecules are more dispersed and have more freedom to move compared to when they are dissolved in water.
Step 4: For part (c), compare O2(g) and O3(g). Note that molecules with more atoms generally have higher entropy due to the increased number of ways they can arrange themselves. Therefore, O3(g) might have a higher entropy than O2(g) because it has more atoms.
Step 5: For part (d), compare C(graphite) and C(diamond). Recognize that graphite has a layered structure allowing more freedom of movement compared to the rigid, tightly bonded structure of diamond, suggesting that C(graphite) has a higher entropy than C(diamond).
Related Practice
Textbook Question

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).

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Open Question
In each of the following pairs, which compound would you expect to have the higher standard molar entropy: (a) C2H2(g) or C2H6(g)? (b) CO2(g) or CO(g)?
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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Open Question
Predict which member of each of the following pairs has the greater standard entropy at 25°C: (a) C6H6(l) or C6H6(g). Use Appendix C to find the standard entropy of each substance. (b) CO(g) or CO2(g). Use Appendix C to find the standard entropy of each substance. (c) 1 mol N2O4(g) or 2 mol NO2(g). Use Appendix C to find the standard entropy of each substance. (d) HCl(g) or HCl(aq). Use Appendix C to find the standard entropy of each substance.
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
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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