Exam 20: Thermodynamics: Entropy, free Energy, and the Direction of Chemical Reactions

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For a chemical reaction to be spontaneous at all temperatures,which of the following conditions must be met?

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Calculate Δ\Delta S° for the reaction 2Cl2(g)+ SO2(g) \to SOCl2(g)+ Cl2O(g)  Calculate  \Delta S° for the reaction 2Cl<sub>2</sub>(g)+ SO<sub>2</sub>(g)  \to SOCl<sub>2</sub>(g)+ Cl<sub>2</sub>O(g)

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Iron(III)oxide can be reduced by carbon monoxide. Fe2O3(s)+ 3CO(g) Iron(III)oxide can be reduced by carbon monoxide. Fe<sub>2</sub>O<sub>3</sub>(s)+ 3CO(g)   2Fe(s)+ 3CO<sub>2</sub>(g) Use the following thermodynamic data at 298 K to determine the equilibrium constant at this temperature.  2Fe(s)+ 3CO2(g) Use the following thermodynamic data at 298 K to determine the equilibrium constant at this temperature. Iron(III)oxide can be reduced by carbon monoxide. Fe<sub>2</sub>O<sub>3</sub>(s)+ 3CO(g)   2Fe(s)+ 3CO<sub>2</sub>(g) Use the following thermodynamic data at 298 K to determine the equilibrium constant at this temperature.

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For each of the following pairs,predict which (A or B)will have the greater entropy,and in one sentence indicate your reasoning. For each of the following pairs,predict which (A or B)will have the greater entropy,and in one sentence indicate your reasoning.

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Which relationship best describes Δ\Delta S° for the following reaction? CO(g)+ H2O(g) \to CO2(g)+ H2(g)

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You are given pure samples of pentane,CH3CH2CH2CH2CH3(l),and 1,3-pentadiene,CH2=CHCH=CHCH3(l).What prediction would you make concerning the standard molar entropies of pentane,S°(pentane)and 1,3-pentadiene,S°(1,3-pentadiene),at 298 K?

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The term microstate refers to the energy state of a single molecule in a system of many molecules.

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The reaction of methane with water to form carbon dioxide and hydrogen is non-spontaneous at 298 K.At what temperature will this system make the transition from non-spontaneous to spontaneous? The data refer to 298 K. CH4(g)+ 2H2O(g) The reaction of methane with water to form carbon dioxide and hydrogen is non-spontaneous at 298 K.At what temperature will this system make the transition from non-spontaneous to spontaneous? The data refer to 298 K. CH<sub>4</sub>(g)+ 2H<sub>2</sub>O(g)   CO<sub>2</sub>(g)+ 4H<sub>2</sub>(g)  CO2(g)+ 4H2(g) The reaction of methane with water to form carbon dioxide and hydrogen is non-spontaneous at 298 K.At what temperature will this system make the transition from non-spontaneous to spontaneous? The data refer to 298 K. CH<sub>4</sub>(g)+ 2H<sub>2</sub>O(g)   CO<sub>2</sub>(g)+ 4H<sub>2</sub>(g)

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Under a given set of conditions,all microstates of a system are equally probable.

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Which of the following is always true for an exothermic process?

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The formation constant for the reaction Ag+(aq)+ 2NH3(aq)  The formation constant for the reaction Ag<sup>+</sup>(aq)+ 2NH<sub>3</sub>(aq)   Ag(NH<sub>3</sub>)<sub>2</sub><sup>+</sup>(aq) Is K<sub>f</sub> = 1.7  \times  10<sup>7</sup> at 25°C.What is  \Delta G° at this temperature? Ag(NH3)2+(aq) Is Kf = 1.7 ×\times 107 at 25°C.What is Δ\Delta G° at this temperature?

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Elemental boron can be formed by reaction of boron trichloride with hydrogen. BCl3(g)+ 1.5H2(g) \to B(s)+ 3HCl(g)  Elemental boron can be formed by reaction of boron trichloride with hydrogen. BCl<sub>3</sub>(g)+ 1.5H<sub>2</sub>(g)  \to  B(s)+ 3HCl(g)   If  \Delta S° = 80.3 J/K,what is S° for BCl<sub>3</sub>(g)? If Δ\Delta S° = 80.3 J/K,what is S° for BCl3(g)?

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The complete combustion of liquid benzene is represented by the equation: C6H6(l)+ 7  The complete combustion of liquid benzene is represented by the equation: C<sub>6</sub>H<sub>6</sub>(l)+ 7    O<sub>2</sub>(g)  \to  6CO<sub>2</sub>(g)+ 3H<sub>2</sub>O(l) Using the data below,calculate,for this reaction a. \Delta H° b. \Delta S° c. \Delta G° at 25°C.    O2(g) \to 6CO2(g)+ 3H2O(l) Using the data below,calculate,for this reaction a. Δ\Delta H° b. Δ\Delta S° c. Δ\Delta G° at 25°C.  The complete combustion of liquid benzene is represented by the equation: C<sub>6</sub>H<sub>6</sub>(l)+ 7    O<sub>2</sub>(g)  \to  6CO<sub>2</sub>(g)+ 3H<sub>2</sub>O(l) Using the data below,calculate,for this reaction a. \Delta H° b. \Delta S° c. \Delta G° at 25°C.

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In the expression,S = k ln W,W is called the number of microstates.Explain clearly the meaning of the word "microstate",and why a system under a given set of conditions normally has many microstates.

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A chemical reaction has Δ\Delta G° = 10.0 kJ and Δ\Delta S° = 50.0 J/K a.Calculate Δ\Delta H° for this reaction at 25°C. b.Could this reaction ever be spontaneous? Explain your answer.

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What is the free energy change, \circ G°,for the equilibrium between hydrogen iodide,hydrogen,and iodine at 453°C? Kc = 0.020 2HI(g)  What is the free energy change,<sup> \circ </sup>G°,for the equilibrium between hydrogen iodide,hydrogen,and iodine at 453°C? K<sub>c</sub> = 0.020 2HI(g)   H<sub>2</sub>(g)+ I<sub>2</sub>(g) H2(g)+ I2(g)

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Given: C2H2(g) \to 2C(graphite)+ H2(g) Δ\Delta G° = -209 kJ A sample of gaseous C2H2 (acetylene,or ethyne)was stored for one year,yet at the end of this period the sample remained unchanged and no graphite or hydrogen gas had been formed.Briefly explain why there is no inconsistency between the sign of Δ\Delta G° and the apparent stability of the sample.

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Which relationship or statement best describes Δ\Delta S° for the following reaction? C2H5OH(l)+ 3O2(g) \to 2CO2(g)+ 3H2O(l)

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Which relationship or statement best describes Δ\Delta S° for the following reaction? 2NH3(g)+ 2ClF3(g) \to 6HF(g)+ N2(g)+ Cl2(g)

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In which one of the following pairs will the first system have a higher entropy than the second? Assume P and T are the same for each pair,unless stated otherwise.

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