Exam 17: Entropy Free Energy and Equilibrium

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

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B

The heat of vaporization of water is 2.27 kJ/g.What is Δ\Delta Svap per mole at the normal boiling point?

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110.J/K·mol

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.

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C

Arrange these compounds in order of increasing standard molar entropy at 25°C: C3H8(g), C2H4(g), ZnS(s), and H2O(l).

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Which of the following processes would be accompanied by an increase in entropy?

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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)   <sub> </sub> 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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Which of these species would you expect to have the highest standard entropy (S°)?

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The element oxygen was prepared by Joseph Priestley in 1774 by heating mercury(II)oxide: HgO(s) →\rarr Hg(l)+ 1/2O2(g), Δ\Delta H° = 90.84 kJ/mol. Estimate the temperature at which this reaction will become spontaneous under standard state conditions. S°(Hg)= 76.02 J/K·mol S°(O2)= 205.0 J/K·mol S°(HgO)= 70.29 J/K·mol

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Which of the following is consistent with a spontaneous endothermic 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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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) →\rarr H2(g)+ CO(s)( Δ\Delta S° = 133.6 J/K·mol; Δ\Delta H° = 131.3 kJ/mol)

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Ozone (O3)in the atmosphere can reaction with nitric oxide (NO): O3(g)+ NO(g) →\rarr 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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Aluminum forms a layer of aluminum oxide when exposed to air which protects the bulk metal from further corrosion. 4Al(s)+ 3O2(g) →\rarr 2Al2O3(s) Calculate Δ\Delta G° for this reaction, given that Δ\Delta G°f of aluminum oxide is -1576.4 kJ/mol.

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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>)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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Is the reaction SiO2(s)+ Pb(s) →\rarr PbO2(s)+ Si(s)spontaneous? Δ\Delta G°f (PbO2)= -217 kJ/mol Δ\Delta G°f (SiO2)= -856 kJ/mol

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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 Will this reaction proceed spontaneously at 298 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 Will this reaction proceed spontaneously at 298 K and 1 atm pressure?

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For the reaction 2C(graphite)+ H2(g) →\rarr 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.

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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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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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Calculate Δ\Delta S° for the reaction SO2(s)+ NO2(g) →\rarr SO3(g)+ NO(g).  Calculate  \Delta S° for the reaction SO<sub>2</sub>(s)+ NO<sub>2</sub>(g) \rarr SO<sub>3</sub>(g)+ NO(g).

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