Exam 18: Entropy, Free Energy, and Equilibrium

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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)   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.

(Multiple Choice)
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For the reaction H2O2(g) →\to H2O(g)+ 1/2O2(g), Δ\Delta H° = -106 kJ/mol and Δ\Delta S° = 58 J/K·mol at 25°C. Calculate Δ\Delta G° for this reaction at this temperature.

(Short Answer)
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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 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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For the reaction CuS(s)+ H2(g)  For the reaction CuS(s)+ H<sub>2</sub>(g)   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>)at 798 K and 1 atm pressure. 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)at 798 K and 1 atm pressure.

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How does the entropy change when a gas is converted to a liquid?

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The reaction rates of many spontaneous reactions are actually very slow. Which of these statements is the best explanation for this observation?

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The free energy of formation of nitric oxide, NO, at 1000 K (roughly the temperature in an automobile engine during ignition)is about 78 kJ/mol.Calculate the equilibrium constant Kp for the reaction N2(g)+ O2(g) The free energy of formation of nitric oxide, NO, at 1000 K (roughly the temperature in an automobile engine during ignition)is about 78 kJ/mol.Calculate the equilibrium constant K<sub>p</sub> for the reaction N<sub>2</sub>(g)+ O<sub>2</sub>(g)   2NO(g)at this temperature. 2NO(g)at this temperature.

(Short Answer)
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The solubility product constant at 25°C for AgI(s)in water has the value 8.3 ×\times 10-17.Calculate Δ\Delta Grxn at 25°C for the process AgI(s)  The solubility product constant at 25°C for AgI(s)in water has the value 8.3  \times  10<sup>-17</sup>.Calculate  \Delta G<sub>rxn</sub> at 25°C for the process AgI(s)   Ag<sup>+</sup>(aq)+ I<sup>- </sup>(aq)where [Ag<sup>+</sup>] = 9.1  \times  10<sup>-9</sup> and [I<sup>-</sup>] = 9.1  \times  10<sup>-9</sup>. Ag+(aq)+ I- (aq)where [Ag+] = 9.1 ×\times 10-9 and [I-] = 9.1 ×\times 10-9.

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

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The normal freezing point of ammonia is -78°C. Predict the signs of Δ\Delta H, Δ\Delta S, and Δ\Delta G for ammonia when it freezes at -80°C and 1 atm: NH3(l) →\to NH3(s)  The normal freezing point of ammonia is -78°C. Predict the signs of  \Delta H,  \Delta S, and  \Delta G for ammonia when it freezes at -80°C and 1 atm: NH<sub>3</sub>(l) \to  NH<sub>3</sub>(s)

(Short Answer)
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For the reaction 3H2(g)+ N2(g)  For the reaction 3H<sub>2</sub>(g)+ N<sub>2</sub>(g)   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?

(Short Answer)
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Dissolving an ionic solid in water always results in an increase in entropy.

(True/False)
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Nitrosyl chloride (NOCl)decomposes at elevated temperatures according to the equation 2NOCl(g)  Nitrosyl chloride (NOCl)decomposes at elevated temperatures according to the equation 2NOCl(g)   2NO(g)+ Cl<sub>2</sub>(g). Calculate K<sub>p</sub> for this reaction at 227°C.( \Delta H° = 81.2 kJ/mol,  \Delta S° = 128 J/K·mol) 2NO(g)+ Cl2(g). Calculate Kp for this reaction at 227°C.( Δ\Delta H° = 81.2 kJ/mol, Δ\Delta S° = 128 J/K·mol)

(Multiple Choice)
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Calculate Δ\Delta G° for the combustion of ethanol vapor, C2H5OH(g), at 750°C in oxygen to form carbon dioxide and water vapor. The following data is valid at 25°C:  Calculate  \Delta G° for the combustion of ethanol vapor, C<sub>2</sub>H<sub>5</sub>OH(g), at 750°C in oxygen to form carbon dioxide and water vapor. The following data is valid at 25°C:

(Multiple Choice)
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Find the temperature at which the reaction N2O4(g) Find the temperature at which the reaction N<sub>2</sub>O<sub>4</sub>(g)   2NO<sub>2</sub>(g)will be in equilibrium when both gases are present at partial pressures of 1.00 atm.  2NO2(g)will be in equilibrium when both gases are present at partial pressures of 1.00 atm. Find the temperature at which the reaction N<sub>2</sub>O<sub>4</sub>(g)   2NO<sub>2</sub>(g)will be in equilibrium when both gases are present at partial pressures of 1.00 atm.

(Multiple Choice)
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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?

(Short Answer)
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Without reference to a table, arrange these reactions according to increasing Δ\Delta S. 1)CH4(g)+ H2O(g) →\to CO(g)+ 3H2(g) 2)C(s)+ O2(g) →\to CO2(g) 3)H2O2(l) →\to H2O(l)+ 1/2O2(g)

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A negative sign for Δ\Delta G indicates that, at constant T and P,

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The following reaction is nonspontaneous at 25°C: Cu2O(s) →\to 2Cu(s)+ 1/2O2(g), Δ\Delta G° = 141 kJ/mol If Δ\Delta S° = 75.8 J/K·mol, what is the lowest temperature at which the reaction will be spontaneous?

(Short Answer)
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