Exam 17: Entropy Free Energy and Equilibrium

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For the reaction CuS(s)+ H2(g)  For the reaction CuS(s)+ H<sub>2</sub>(g)   <sub> </sub> H<sub>2</sub>S(g)+ Cu(s),  \Delta G°<sub>f</sub> (CuS)= -53.6 kJ/mol  \Delta G°<sub>f</sub> (H<sub>2</sub>S)= -33.6 kJ/mol  \Delta H°<sub>f</sub> (CuS)= -53.1 kJ/mol  \Delta H°<sub>f</sub> (H<sub>2</sub>S)= - 20.6 kJ/mol Calculate the value of the equilibrium constant (K<sub>p</sub>)for this reaction at 298 K. H2S(g)+ Cu(s), Δ\Delta G°f (CuS)= -53.6 kJ/mol Δ\Delta G°f (H2S)= -33.6 kJ/mol Δ\Delta H°f (CuS)= -53.1 kJ/mol Δ\Delta H°f (H2S)= - 20.6 kJ/mol Calculate the value of the equilibrium constant (Kp)for this reaction at 298 K.

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

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For the reaction SbCl5(g)  For the reaction SbCl<sub>5</sub>(g)   <sub> </sub> 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 the value of the equilibrium constant (K<sub>p</sub>)for this reaction at 298 K. 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 the value of the equilibrium constant (Kp)for this reaction at 298 K.

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

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At 700 K, the equilibrium constant for the reaction CO(g)+ H2O(g)  At 700 K, the equilibrium constant for the reaction CO(g)+ H<sub>2</sub>O(g)   <sub> </sub> CO<sub>2</sub>(g)+ H<sub>2</sub>(g)is 5.10.What is  \Delta G° for this reaction at this temperature? CO2(g)+ H2(g)is 5.10.What is Δ\Delta G° for this reaction at this temperature?

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For the reaction 3H2(g)+ N2(g) For the reaction 3H<sub>2</sub>(g)+ N<sub>2</sub>(g)   <sub> </sub> 2NH<sub>3</sub>(g), K<sub>c</sub> = 9.0 at 350°C.In what direction does the reaction proceed when 1.0 mol NH<sub>3</sub>, 5.0 mol N<sub>2</sub>, and 5.0 mol H<sub>2</sub> are mixed in a 2.5 L reactor? 2NH3(g), Kc = 9.0 at 350°C.In what direction does the reaction proceed when 1.0 mol NH3, 5.0 mol N2, and 5.0 mol H2 are mixed in a 2.5 L reactor?

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Which of the following is consistent with a reaction at equilibrium?

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Calculate Δ\Delta S° at 25°C for the reduction of PbO(s), 2PbO(s)+ C(s) →\rarr 2Pb(s)+ CO2(g)given these absolute entropies:  Calculate  \Delta S° at 25°C for the reduction of PbO(s), 2PbO(s)+ C(s) \rarr  2Pb(s)+ CO<sub>2</sub>(g)given these absolute entropies:

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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)   <sub> </sub> 2H<sub>2</sub>(g)+ O<sub>2</sub>(g) At 25°C, given that  \Delta G°<sub>f </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.

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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)   <sub> </sub> 2HI(g)at this temperature. 2HI(g)at this temperature.

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For the reaction 2 SO2(g)+ O2(g) →\rarr 2 SO3(g), if initially P(SO2)= 1.2 atm, P(O2)= 1.8 atm, and P(SO3)= 2.1 atm, calculate Δ\Delta G for this reaction at 25°C.The following data is valid at 25°C:  For the reaction 2 SO<sub>2</sub>(g)+ O<sub>2</sub>(g) \rarr  2 SO<sub>3</sub>(g), if initially P(SO<sub>2</sub>)= 1.2 atm, P(O<sub>2</sub>)= 1.8 atm, and P(SO<sub>3</sub>)= 2.1 atm, calculate  \Delta G for this reaction at 25°C.The following data is valid at 25°C:

(Multiple Choice)
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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)   <sub> </sub> (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.

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Arrange these reactions according to increasing Δ\Delta S. 1)H2O(g) →\rarr H2O(l) 2)2NO(g) →\rarr N2(g)+ O2(g) 3)MgCO3(s) →\rarr MgO(s)+ CO2(g)

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For the reaction SbCl5(g)  For the reaction SbCl<sub>5</sub>(g)   <sub> </sub> 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).

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Which of these species would you expect to have the lowest standard entropy (S°)?

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Sodium carbonate can be made by heating sodium bicarbonate: 2NaHCO3(s) →\rarr Na2CO3(s)+ CO2(g)+ H2O(g) Given that Δ\Delta H° = 128.9 kJ/mol and Δ\Delta G° = 33.1 kJ/mol at 25°C, above what minimum temperature will the reaction become spontaneous under standard state conditions?

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Given the following data, calculate the boiling point of HCOOH (formic acid). Given the following data, calculate the boiling point of HCOOH (formic acid).

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For the reaction H2O2(g) →\rarr H2O(g)+ 1/2O2(g), Δ\Delta H° = -106 kJ/mol and Δ\Delta S° = 58 J/K·mol at 25°C.Is H2O2(g)stable with respect to dissociation into water vapor and oxygen gas at 25°C?

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Predict the normal boiling point of triethylborane (C6H15B)using the following data: Predict the normal boiling point of triethylborane (C<sub>6</sub>H<sub>15</sub>B)using the following data:

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Given the following data, estimate the boiling point of bromine, Br2, assuming that Δ\Delta S° and Δ\Delta H° are temperature-independent.  Given the following data, estimate the boiling point of bromine, Br<sub>2</sub>, assuming that  \Delta S° and  \Delta H° are temperature-independent.

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