Exam 18: 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)   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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No

The entropy change on vaporization ( Δ\Delta Svap)of a compound or element is

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B

The element oxygen was prepared by Joseph Priestley in 1774 by heating mercury(II)oxide: HgO(s)\9\to\) 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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E

Rubidium has a heat of vaporization of 69.0 kJ/mol at its boiling point (686°C).Calculate Δ\Delta S for this process, Rb(l) →\to Rb(g), at 1 atm and 686°C.

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Predict the sign of Δ\Delta S for the reaction 6CO2(g)+ 6H2O(g) →\to C6H12O6(g)+ 6O2(g).

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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 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?

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

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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.

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A sample of solid naphthalene is introduced into an evacuated flask. Use the data below to calculate the equilibrium vapor pressure of naphthalene (C10H8)in the flask at 35°C. A sample of solid naphthalene is introduced into an evacuated flask. Use the data below to calculate the equilibrium vapor pressure of naphthalene (C<sub>10</sub>H<sub>8</sub>)in the flask at 35°C.

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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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For a given substance the entropy always increases in the following order: S (gas)< S (liq)< S (solid).

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Δ\Delta Hvap for ethanol is 38.7 kJ/mol at its boiling point (78°C).What is Δ\Delta Ssurr when 1.00 mole of ethanol is boiled?

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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) 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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Find the temperature at which Kp = 4.00 for the reaction N2O4(g)  Find the temperature at which K<sub>p</sub> = 4.00 for the reaction N<sub>2</sub>O<sub>4</sub>(g)   2NO<sub>2</sub>(g).[Given: at 25°C, for NO<sub>2</sub>(g),  \Delta H°<sub>f</sub> = 33.85 kJ/mol, S° = 240.46 J/mol·K; for N<sub>2</sub>O<sub>4</sub>(g),  \Delta H°<sub>f</sub> = 9.66 kJ/mol, S° = 304.3 J/mol·K; assume that \Delta H° and  \Delta S° are independent of temperature.] 2NO2(g).[Given: at 25°C, for NO2(g), Δ\Delta H°f = 33.85 kJ/mol, S° = 240.46 J/mol·K; for N2O4(g), Δ\Delta H°f = 9.66 kJ/mol, S° = 304.3 J/mol·K; assume that Δ\Delta H° and Δ\Delta S° are independent of temperature.]

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

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The entropy change ×\times S° for the reaction NH4Cl(s) →\to NH3(g)+ HCl(g)will be negative.

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For the reaction HCONH2(g)  For the reaction HCONH<sub>2</sub>(g)   NH<sub>3</sub>(g)+ CO(g), K<sub>c</sub> = 4.84 at 400 K. If  \Delta H° for this reaction is 29 kJ/mol, find K<sub>c</sub> at 500 K. NH3(g)+ CO(g), Kc = 4.84 at 400 K. If Δ\Delta H° for this reaction is 29 kJ/mol, find Kc at 500 K.

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Calculate Kp at 298 K for the reaction SO2(g)+ NO2(g) →\to SO3(g)+ NO(g).  Calculate K<sub>p</sub> at 298 K for the reaction SO<sub>2</sub>(g)+ NO<sub>2</sub>(g) \to  SO<sub>3</sub>(g)+ NO(g).

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Using the thermodynamic data provided below, calculate Ka2 for H2CO3(aq)at 25°. Using the thermodynamic data provided below, calculate K<sub>a2</sub> for H<sub>2</sub>CO<sub>3</sub>(aq)at 25°.

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