Exam 18: Entropy, Free Energy, and Equilibrium

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Calculate Δ\Delta G° for the reaction 3NO2(g)+ H2O(l) →\to 2HNO3(l)+ NO(g).  Calculate  \Delta G° for the reaction 3NO<sub>2</sub>(g)+ H<sub>2</sub>O(l) \to  2HNO<sub>3</sub>(l)+ NO(g).

(Multiple Choice)
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Which species will have the greatest absolute entropy at 25°C?

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Calculate the equilibrium constant for the decomposition of water 2H2O(l)  Calculate the equilibrium constant for the decomposition of water 2H<sub>2</sub>O(l)   2H<sub>2</sub>(g)+ O<sub>2</sub>(g) At 25°C, given that  \Delta G°<sub>f</sub><sub> </sub>(H<sub>2</sub>O(l))= -237.2 kJ/mol. 2H2(g)+ O2(g) At 25°C, given that Δ\Delta G°f (H2O(l))= -237.2 kJ/mol.

(Multiple Choice)
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How does the entropy change when a liquid is vaporized?

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The following reaction is spontaneous under standard state conditions at 25°C: AgCl(s) →\to Ag+(aq)+ Cl-(aq)( Δ\Delta G° = 55 kJ/mol)

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Which one of the following reactions would you expect to have the lowest Δ\Delta S°?

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Which of these species has the highest entropy (S°)at 25°C?

(Multiple Choice)
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Consider the reaction CO(g)+ 2H2(g)  Consider the reaction CO(g)+ 2H<sub>2</sub>(g)   CH<sub>3</sub>OH(l)at 25°C.  \Delta G°<sub>f</sub> (CO)= -137.3 kJ/mol  \Delta G°<sub>f</sub> (CH<sub>3</sub>OH)= -166.3 kJ/mol  \Delta H°<sub>f</sub> (CO)= -110.5 kJ/mol  \Delta H°<sub>f</sub> (CH<sub>3</sub>OH)= -238.7 kJ/mol S°(CO)= 197.9 J/K·mol S°(CH<sub>3</sub>OH)= 126.8 J/K·mol Calculate value of the equilibrium constant (K<sub>p</sub>)for this reaction at 25°C. CH3OH(l)at 25°C. Δ\Delta G°f (CO)= -137.3 kJ/mol Δ\Delta G°f (CH3OH)= -166.3 kJ/mol Δ\Delta H°f (CO)= -110.5 kJ/mol Δ\Delta H°f (CH3OH)= -238.7 kJ/mol S°(CO)= 197.9 J/K·mol S°(CH3OH)= 126.8 J/K·mol Calculate value of the equilibrium constant (Kp)for this reaction at 25°C.

(Short Answer)
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At 1500°C the equilibrium constant for the reaction CO(g)+ 2H2(g)  At 1500°C the equilibrium constant for the reaction CO(g)+ 2H<sub>2</sub>(g)   CH<sub>3</sub>OH(g)has the value K<sub>p</sub> = 1.4  \times 10<sup>-7</sup>. Calculate  \Delta G° for this reaction at 1500°C. CH3OH(g)has the value Kp = 1.4 ×\times 10-7. Calculate Δ\Delta G° for this reaction at 1500°C.

(Multiple Choice)
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For the reaction H2(g)+ S(s) →\to H2S(g), Δ\Delta H° = -20.2 kJ/mol and Δ\Delta S° = +43.1 J/K·mol.Which of these statements is true?

(Multiple Choice)
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Assuming Δ\Delta S° and Δ\Delta H° do not vary with temperature, at what temperature will the reaction shown below become spontaneous? C(s)+ H2O(g) →\to H2(g)+ CO(s)( Δ\Delta S° = 133.6 J/K·mol; Δ\Delta H° = 131.3 kJ/mol)

(Short Answer)
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In the gas phase, formic acid forms a dimmer, 2HCOOH(g)  In the gas phase, formic acid forms a dimmer, 2HCOOH(g)   (HCOOH)<sub>2</sub>(g). For this reaction,  \Delta H° = -60.1 kJ/mol and  \Delta G° = -13.9 kJ/mol at 25°C. Find the equilibrium constant (K<sub>p</sub>)for this reaction at 75 °C. (HCOOH)2(g). For this reaction, Δ\Delta H° = -60.1 kJ/mol and Δ\Delta G° = -13.9 kJ/mol at 25°C. Find the equilibrium constant (Kp)for this reaction at 75 °C.

(Multiple Choice)
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For the reaction 2C(graphite)+ H2(g) →\to C2H2(g), Δ\Delta G°= +209.2 kJ/mol at 25°C. If P(H2)= 100.atm, and P(C2H2)= 0.10 atm, calculate Δ\Delta G for this reaction.

(Multiple Choice)
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The standard free energy of formation of gaseous hydrogen iodide is 1.30 kJ/mol at 25°C.Find Kp for the reaction H2(g)+ I2(s) The standard free energy of formation of gaseous hydrogen iodide is 1.30 kJ/mol at 25°C.Find K<sub>p</sub> for the reaction H<sub>2</sub>(g)+ I<sub>2</sub>(s)   2HI(g)at this temperature. 2HI(g)at this temperature.

(Multiple Choice)
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For the reaction SbCl5(g)  For the reaction SbCl<sub>5</sub>(g)   SbCl<sub>3</sub>(g)+ Cl<sub>2</sub>(g),  \Delta G°<sub>f</sub> (SbCl<sub>5</sub>)= -334.34 kJ/mol  \Delta G°<sub>f</sub> (SbCl<sub>3</sub>)= -301.25 kJ/mol  \Delta H°<sub>f</sub> (SbCl<sub>5</sub>)= -394.34 kJ/mol  \Delta H°<sub>f</sub> (SbCl<sub>3</sub>)= -313.80 kJ/mol Calculate  \Delta G at 800 K and 1 atm pressure (assume  \Delta S°<sub> </sub>and  \Delta H° do not change with temperature). SbCl3(g)+ Cl2(g), Δ\Delta G°f (SbCl5)= -334.34 kJ/mol Δ\Delta G°f (SbCl3)= -301.25 kJ/mol Δ\Delta H°f (SbCl5)= -394.34 kJ/mol Δ\Delta H°f (SbCl3)= -313.80 kJ/mol Calculate Δ\Delta G at 800 K and 1 atm pressure (assume Δ\Delta S° and Δ\Delta H° do not change with temperature).

(Short Answer)
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Using the thermodynamic data provided below, calculate Ksp for ZnS(s)at 25°. Using the thermodynamic data provided below, calculate K<sub>sp</sub> for ZnS(s)at 25°.

(Essay)
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Which response includes all the following processes that are accompanied by an increase in entropy? 1)2SO2(g)+ O2(g) →\to SO3(g) 2)H2O(l) →\to H2O(s) 3)Br2(l) →\to Br2(g) 4)H2O2(l) →\to H2O(l)+ 1/2O2(g)

(Multiple Choice)
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Choose the substance with the higher entropy per mole at a given temperature: Br2(l)or Br2(g).

(Short Answer)
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Sulfur can be separated from lead in the mineral galena, PbS(s), by "roasting" the ore in the presence of oxygen as shown in the following reaction: 2PbS(s)+ 3O2(g) →\to 2PbO(s)+ 2SO2(g) Determine Δ\Delta G for the above reaction at 850°C.  Sulfur can be separated from lead in the mineral galena, PbS(s), by roasting the ore in the presence of oxygen as shown in the following reaction: 2PbS(s)+ 3O<sub>2</sub>(g) \to  2PbO(s)+ 2SO<sub>2</sub>(g) Determine  \Delta G for the above reaction at 850°C.

(Short Answer)
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Choose the substance with the higher entropy per mole at a given temperature: CO2(g)or CO2(aq).

(Short Answer)
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