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General Chemistry Principles, Patterns, and Applications, 2011

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N U M E R I C A L PR O BL E M S<br />

1. Carbon monoxide, a toxic product from the incomplete combustion of fossil fuels, reacts with water to form<br />

CO 2 <strong>and</strong> H 2 , as shown in the equatio<br />

which ΔH° = −41.0 kJ/mol <strong>and</strong> ΔS° = −42.3 J cal/(mol·K) at 25°C <strong>and</strong> 1 atm.<br />

a. What is ΔG° for this reaction?<br />

b. What is ΔG if the gases have the following partial pressures: P CO = 1.3 atm , PH2O = 0.8<br />

atm, PCO2 = 2.0 atm, <strong>and</strong> PH2 = 1.3 atm?<br />

c. What is ΔG if the temperature is increased to 150°C assuming no change in pressure?<br />

2. Methane <strong>and</strong> water react to form carbon monoxide <strong>and</strong> hydrogen according to the equation<br />

a. What is the st<strong>and</strong>ard free energy change for this reaction?<br />

b. What is K p for this reaction?<br />

c. What is the carbon monoxide pressure if 1.3 atm of methane reacts with 0.8 atm of water,<br />

producing 1.8 atm of hydrogen gas?<br />

d. What is the hydrogen gas pressure if 2.0 atm of methane is allowed to react with 1.1 atm<br />

of water?<br />

e. At what temperature does the reaction become spontaneous?<br />

3. Calculate the equilibrium constant at 25°C for each equilibrium reaction <strong>and</strong> comment on the extent of the<br />

a.<br />

reaction.<br />

b. = −377 kJ/mol<br />

c.<br />

d. −66.3 kJ/mol, ΔS° = −102.3 J/(mol·K)<br />

e. PCl3( g) + S PSCl3( l); DG f ( PCl 3 ) = - 272.4 kJ / mol, DG f (PSCl 3 ) = −363.2<br />

kJ/mol<br />

4. Calculate the equilibrium constant at 25°C for each equilibrium reaction <strong>and</strong> comment on the extent of the<br />

a.<br />

CH 4 g<br />

CCl4 g<br />

Xe g<br />

reaction.<br />

b. −225.8 kJ/mol<br />

n CO g<br />

( ) + H2O( g) CO( g) + 3H2 g<br />

( ) + H2O( g) CO2( g) + H2 g<br />

( ).<br />

( ) + 6H2O( l) CO2( g) + 4HCl aq<br />

( ) + 2F2( g) XeF4 s<br />

2KClO3 s<br />

( ); DH° =<br />

( ) 2KCl( s) + 3O2 g<br />

( ); DG° =<br />

( ); DG°<br />

( ), for<br />

Saylor URL: http://www.saylor.org/books<br />

Saylor.org<br />

1686

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