Exam 18: Entropy, Free Energy, and Equilibrium

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Which species will have the lowest absolute entropy at 25°C?

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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 →\to highest

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Using the thermodynamic data provided below, calculate Ksp for Mg(OH)2(s)at 25°. Using the thermodynamic data provided below, calculate K<sub>sp</sub> for Mg(OH)<sub>2</sub>(s)at 25°.

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Aluminum forms a layer of aluminum oxide when exposed to air which protects the bulk metal from further corrosion. 4Al(s)+ 3O2(g) →\to 2Al2O3(s) Using the thermodynamic data provided below, calculate Δ\Delta S° for this reaction.  Aluminum forms a layer of aluminum oxide when exposed to air which protects the bulk metal from further corrosion. 4Al(s)+ 3O<sub>2</sub>(g) \to 2Al<sub>2</sub>O<sub>3</sub>(s) Using the thermodynamic data provided below, calculate  \Delta S° for this reaction.

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For a certain reaction, Δ\Delta G° = 87 kJ/mol, Δ\Delta H° = 100 kJ/mol at STP. At what temperature, in K, is the reaction in equilibrium, assuming that Δ\Delta S° and Δ\Delta H° are temperature-independent?

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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>)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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Hydrogen peroxide (H2O2)decomposes according to the equation H2O2(l) →\0H<sub>2</sub>O(l)+<sup>1</sup>/<sub>2</sub>O<sub>2</sub>(g).CalculateK<sub>p</sub>forthisreactionat25°C.(Δ\to\0 H<sub>2</sub>O(l)+ <sup>1</sup>/<sub>2</sub>O<sub>2</sub>(g).Calculate K<sub>p</sub> for this reaction at 25°C. (\Delta H° = -98.2 kJ/mol, Δ\Delta S° = 70.1 J/K·mol)

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Determine the equilibrium constant (Kp)at 25°C for the reaction Determine the equilibrium constant (K<sub>p</sub>)at 25°C for the reaction

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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. Is H2O2(g)stable with respect to dissociation into water vapor and oxygen gas at 25°C?

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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>)at 800 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 Calculate the value of the equilibrium constant (Kp)at 800 K and 1 atm pressure.

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Predict the sign of Δ\Delta S for the reaction O2(g) →\to 2O(g).

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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°.

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Ozone (O3)in the atmosphere can reaction with nitric oxide (NO): O3(g)+ NO(g) →\to NO2(g)+ O2(g). Calculate the Δ\Delta G° for this reaction at 25°C. ( Δ\Delta H° = -199 kJ/mol, Δ\Delta S° = -4.1 J/K·mol)

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Using the thermodynamic data provided below, determine the temperature in °C at which the decomposition of solid calcium carbonate to form solid calcium oxide and oxygen becomes spontaneous. Using the thermodynamic data provided below, determine the temperature in °C at which the decomposition of solid calcium carbonate to form solid calcium oxide and oxygen becomes spontaneous.

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Kw for the auto-ionization of water, H2O(l) →\to H+(aq)+ OH- (aq), is 1.0 ×\times 10-14. What are the signs (+/-)of Δ\Delta S° and Δ\Delta H° for the reaction at 25°C?

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HI has a normal boiling point of -35.4°C, and its Δ\Delta Hvap is 21.16 kJ/mol. Calculate the molar entropy of vaporization ( Δ\Delta Svap).

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Determine the equilibrium constant Kp at 25°C for the reaction N2(g)+ 3H2(g)  Determine the equilibrium constant K<sub>p</sub> at 25°C for the reaction N<sub>2</sub>(g)+ 3H<sub>2</sub>(g)   2NH<sub>3</sub>(g) [ \Delta G°<sub>f</sub> (NH<sub>3</sub>(g))= -16.6 kJ/mol]. 2NH3(g) [ Δ\Delta G°f (NH3(g))= -16.6 kJ/mol].

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

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How does the entropy change when a molecular solid is dissolved in water?

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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. Calculate  \Delta G° at 350°C. 2NH3(g), Kc = 9.0 at 350°C. Calculate Δ\Delta G° at 350°C.

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