Exam 17: Entropy Free Energy and Equilibrium

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Using the thermodynamic data provided below, calculate Ka1 for H2CO3(aq)at 25°. Using the thermodynamic data provided below, calculate K<sub>a1</sub> for H<sub>2</sub>CO<sub>3</sub>(aq)at 25°.

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Determine Δ\Delta S° for the reaction SO3(g)+ H2O(l) →\rarr H2SO4(l).  Determine  \Delta S° for the reaction SO<sub>3</sub>(g)+ H<sub>2</sub>O(l) \rarr H<sub>2</sub>SO<sub>4</sub>(l).

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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.What is the value of  \Delta G at this temperature 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.What is the value of Δ\Delta G at this temperature 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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The standard entropy of any pure substance is 0 J/mol.

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Calculate the free energy of formation of NaBr(s)given the following information: NaBr(s) →\rarr Na(s)+ 1/2Br2(l), Δ\Delta G° = 349 kJ/mol

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In the gas phase, methyl isocyanate (CH3NC)isomerizes to acetonitrile (CH3CN), H3C-N ≡\equiv C (g)  In the gas phase, methyl isocyanate (CH<sub>3</sub>NC)isomerizes to acetonitrile (CH<sub>3</sub>CN), H<sub>3</sub>C-N \equiv C (g)   <sub> </sub> H<sub>3</sub>C-C \equiv N (g) With  \Delta H° = -89.5 kJ/mol and  \Delta G° = - 73.8 kJ/mol at 25°C.Find the equilibrium constant for this reaction at 100°C. H3C-C ≡\equiv N (g) With Δ\Delta H° = -89.5 kJ/mol and Δ\Delta G° = - 73.8 kJ/mol at 25°C.Find the equilibrium constant for this reaction at 100°C.

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For any pure substance, if Δ\Delta Hf° = 0 and Δ\Delta Gf° = 0, than S° = 0

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What is the free energy change for the reaction SiO2(s)+ Pb(s) →\rarr PbO2(s)+ Si(s)? Δ\Delta G°f (PbO2)= -217 kJ/mol Δ\Delta G°f (SiO2)= -856 kJ/mol

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Which response includes all of the following processes that are accompanied by an increase of entropy? Which response includes all of the following processes that are accompanied by an increase of entropy?

(Multiple Choice)
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Consider the reaction CO(g)+ 2H2(g)  Consider the reaction CO(g)+ 2H<sub>2</sub>(g)   <sub> </sub> 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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Using the thermodynamic data provided below, calculate Ka for HCN(aq)at 25°. Using the thermodynamic data provided below, calculate K<sub>a</sub> for HCN(aq)at 25°.

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

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Which response includes all of the following processes that are accompanied by an increase in entropy? 1)I2(s) →\rarr I2(g) 2)2I(g) →\rarr I2(g) 3)2NH3(g) →\rarr N2(g)+ 3H2(g) 4)Mg2+(aq)+ 2OH-(aq) →\rarr Mg(OH)2(s)

(Multiple Choice)
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Choose the substance with the higher entropy per mole at a given temperature: 1 mole of N2(g)in a 22.4 L container or 1 mole of N2(g)in a 2.24 L container.

(Essay)
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The entropy of a perfectly ordered crystalline substance at 0 K is 0 J/mol.

(True/False)
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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 Will this reaction proceed spontaneously at 298 K and 1 atm pressure? 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 Will this reaction proceed spontaneously at 298 K and 1 atm pressure?

(Short Answer)
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Find the temperature at which Kp = 42.0 for the reaction H2(g)+ I2(g)  Find the temperature at which K<sub>p</sub> = 42.0 for the reaction H<sub>2</sub>(g)+ I<sub>2</sub>(g)   <sub> </sub> 2HI(g).[Given: at 25°C, for H<sub>2</sub>(g),  \Delta H°<sub>f</sub> = 0, S° = 131.0 J/mol·K; for I<sub>2</sub>(g),  \Delta H°<sub>f</sub> = 62.26 kJ/mol, S° = 260.6 J/mol·K; for HI(g),  \Delta H°<sub>f</sub> = 25.9 kJ/mol, S° = 206.3 J/mol·K; assume that  \Delta H° and  \Delta S° are independent of temperature.] 2HI(g).[Given: at 25°C, for H2(g), Δ\Delta H°f = 0, S° = 131.0 J/mol·K; for I2(g), Δ\Delta H°f = 62.26 kJ/mol, S° = 260.6 J/mol·K; for HI(g), Δ\Delta H°f = 25.9 kJ/mol, S° = 206.3 J/mol·K; assume that Δ\Delta H° and Δ\Delta S° are independent of temperature.]

(Multiple Choice)
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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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Arrange the following substances in the order of increasing entropy at 25°C. HF(g), NaF(s), SiF4(g), SiH4(g), Al(s) Lowest →\rarr highest

(Multiple Choice)
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Which of the following processes would be accompanied by a decrease in entropy?

(Multiple Choice)
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