General Chemistry - Standalone book (MindTap Course List)
General Chemistry - Standalone book (MindTap Course List)
11th Edition
ISBN: 9781305580343
Author: Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher: Cengage Learning
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Chapter 14, Problem 14.45QP

Obtain the value of Kc for the following reaction at 900 K:

2SO 2 ( g ) + O 2 ( g ) 2 SO 3 ( g )

Use the data given in Problem 14.33.

Expert Solution & Answer
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Interpretation Introduction

Interpretation:

The equilibrium constant for the given reaction has to be calculated.

Concept introduction:

A system is said to be in equilibrium when all the measurable properties of the system remains unchanged with the time.  Equilibrium constant is the ratio of the rate constants of the forward and reverse reactions at a given temperature.  In other words it is the ratio of the concentrations of the products to concentrations of the reactants.  Each concentration term is raised to a power, which is same as the coefficients in the chemical reaction.

Consider the reaction where the reactant A is giving product B.

AB

Rate of forward reaction = Rate of reverse reactionkf[A]=kr[B]

On rearranging,

[A][B]=kfkr=Kc

Where,

kf is the rate constant of the forward reaction.

kr is the rate constant of the reverse reaction.

Kc is the equilibrium constant.

Answer to Problem 14.45QP

The equilibrium constant (Kc) for the given reaction was found to be 3.1×103

Explanation of Solution

Given,

The initial amount of SO2=0.0400mol

The initial amount of O2 = 0.0200 mol

The number of moles of SO3 at equilibrium = 0.0296 mol

The volume of the vessel =2.000L

To find the equilibrium composition

Using the table approach, the equilibrium concentrations of the reactants and the products can be found.

Amount(mol)2SO2(g) O2(g)2SO3 (g)

Initial0.0400   0.02000Change-xx2+xEquillibrium0.0400x0.0200-x2x

The amount SO3 of at equilibrium is 0.0296mol which is equal to the change in the amount (x) .

From the equilibrium reaction we can see that the coefficient of SO2 and SO3 are same.  But the coefficient of O2 is half of that of the product.  Hence, we can conclude that an amount of x2 is lost from the O2 to form the given amount of product.

The equilibrium compositions of each of the reactant and product are found as given below.

Equilibrium amount of SO2(g)=0.0400- x=0.0400-0.0296 =0.0104mol

Equilibrium amount of O2(g)=0.0200 - x2=0.0200- (0.02962 )= 0.0052mol

Equilibrium amount of SO3(g)=x=0.0296mol

To find the concentrations of the reactants and products

The molar concentration of each can be obtained as given below.

The equilibrium  concentration of SO2Num of molesVolume=0.0104mol2.00L=0.0052M

The concentration of O2at equilibriumNum of molesVolume=0.0052mol2.000L=0.0026M

The concentration of SO3at equilibriumNum of molesVolume=0.0296mol2.000L=0.0148M

To find the expression for the equilibrium constant

2SO2(g) O2(g)2SO3 (g)

Equilibrium constant is  the ratio of the concentrations of the products to concentrations of the reactants.  Each concentration term is raised to a power, which is same as the coefficients of each terms in the chemical reaction.  The equilibrium constant for the given reaction is expressed as given below.

The equilibrium constant Kc=[SO3]2[SO2]2[O2]

To find the value for the equilibrium constant

The value of the equilibrium constant can be obtained by substituting the equilibrium concentrations of the reactant and product in the expression for the equilibrium constant.

Kc=[SO3]2[SO2]2[O2]=[0.0148]2[0.0052]2[0.0026]=3.1×103

Conclusion

The equilibrium composition of the given reaction mixture was found from the initial amount of reactants and products.  The value of the equilibrium constant was then obtained by substituting the equilibrium concentrations of the products and the reactants in the expression for the equilibrium constant.

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Chapter 14 Solutions

General Chemistry - Standalone book (MindTap Course List)

Ch. 14.5 - Carbon monoxide and hydrogen react in the presence...Ch. 14.6 - Phosphorus pentachloride gives an equilibrium...Ch. 14.6 - What is the equilibrium composition of a reaction...Ch. 14.6 - Phosphorus pentachloride, PCl5, decomposes when...Ch. 14.6 - Prob. 14.4CCCh. 14.7 - Prob. 14.12ECh. 14.8 - Can you increase the amount of product in each of...Ch. 14.8 - Prob. 14.14ECh. 14.8 - Prob. 14.5CCCh. 14.8 - Prob. 14.15ECh. 14 - Consider the reaction N2O4(g)2NO2(g). Draw a graph...Ch. 14 - When 1.0 mol each of H2(g) and I2(g) are mixed at...Ch. 14 - Prob. 14.3QPCh. 14 - Obtain the equilibrium constant for the reaction...Ch. 14 - Which of the following reactions involve...Ch. 14 - Prob. 14.6QPCh. 14 - Prob. 14.7QPCh. 14 - Prob. 14.8QPCh. 14 - Prob. 14.9QPCh. 14 - Prob. 14.10QPCh. 14 - How is it possible for a catalyst to give products...Ch. 14 - Prob. 14.12QPCh. 14 - A chemist put 1.18 mol of substance A and 2.85 mol...Ch. 14 - The reaction 3A(g)+B(s)2C(aq)+D(aq) occurs at 25C...Ch. 14 - A graduate student places 0.272 mol of PCl3(g) and...Ch. 14 - An experimenter places the following...Ch. 14 - Chemical Equilibrium I Part 1: You run the...Ch. 14 - Chemical Equilibrium II Magnesium hydroxide....Ch. 14 - During an experiment with the Haber process, a...Ch. 14 - Suppose liquid water and water vapor exist in...Ch. 14 - A mixture initially consisting of 2 mol CO and 2...Ch. 14 - Prob. 14.22QPCh. 14 - For the reaction 2HI(g)H2(g)+I2(g) carried out at...Ch. 14 - An experimenter introduces 4.0 mol of gas A into a...Ch. 14 - The following reaction is earned out at 500 K in a...Ch. 14 - For the endothermic reaction AB(g)A(g)+B(g), the...Ch. 14 - Prob. 14.27QPCh. 14 - Prob. 14.28QPCh. 14 - A 2.500-mol sample of phosphorus pentachloride,...Ch. 14 - You place 4.00 mol of dinitrogen trioxide, N2O3,...Ch. 14 - You place 0.600 mol of nitrogen, N2, and 1.800 mol...Ch. 14 - Nitrogen monoxide, NO, reacts with bromine, Br2,...Ch. 14 - In the contact process, sulfuric acid is...Ch. 14 - Methanol, CH3OH, formerly known as wood alcohol,...Ch. 14 - Write equilibrium-constant expressions Kc for each...Ch. 14 - Write equilibrium-constant expressions Kc for each...Ch. 14 - The equilibrium-constant expression for a gas...Ch. 14 - Prob. 14.38QPCh. 14 - The equilibrium-constant expression for a reaction...Ch. 14 - Prob. 14.40QPCh. 14 - The equilibrium constant Kc, for the equation...Ch. 14 - The equilibrium constant Kc for the equation...Ch. 14 - A 13.0-L reaction vessel at 499C contained...Ch. 14 - A 4.00-L vessel contained 0.0148 mol of phosphorus...Ch. 14 - Obtain the value of Kc for the following reaction...Ch. 14 - Obtain the value of Kc for the following reaction...Ch. 14 - At 60C, 3.76 mol of nitrosyl bromide, NOBr, placed...Ch. 14 - A 2 00-mol sample of nitrogen dioxide was placed...Ch. 14 - Write equilibrium-constant expressions Kp for each...Ch. 14 - Write equilibrium-constant expressions Kp for each...Ch. 14 - The value of Kc for the following reaction at 298C...Ch. 14 - The equilibrium constant Kc equals 0.0952 for the...Ch. 14 - The reaction SO2(g)+12O2(g)SO3(g) has Kp equal to...Ch. 14 - Fluorine, F2, dissociates into atoms on heating....Ch. 14 - Write the expression for the equilibrium constant...Ch. 14 - For each of the following equations, give the...Ch. 14 - On the basis of the value of Kc decide whether or...Ch. 14 - Would either of the following reactions go almost...Ch. 14 - Hydrogen fluoride decomposes according to the...Ch. 14 - Suppose sulfur dioxide reacts with oxygen at 25C....Ch. 14 - The following reaction has an equilibrium constant...Ch. 14 - The following reaction has an equilibrium constant...Ch. 14 - Methanol, CH3OH, is manufactured industrially by...Ch. 14 - Sulfur trioxide, used to manufacture sulfuric...Ch. 14 - Phosgene, COCl2, used in the manufacture of...Ch. 14 - Nitrogen monoxide, NO, is formed in automobile...Ch. 14 - Iodine and bromine react to give iodine...Ch. 14 - Initially a mixture contains 0.850 mol each of N2...Ch. 14 - Calculate the composition of the gaseous mixture...Ch. 14 - The equilibrium constant Kc, for the reaction...Ch. 14 - Suppose 1.000 mol CO and 3.000 mol H2 are put in a...Ch. 14 - The equilibrium constant Kc for the reaction...Ch. 14 - Consider the equilibrium FeO(s)+CO(g)Fe(s)+CO2(g)...Ch. 14 - a Predict the direction of reaction when chlorine...Ch. 14 - What would you expect to be the effect of an...Ch. 14 - Indicate whether either an increase or a decrease...Ch. 14 - Methanol is prepared industrially from synthesis...Ch. 14 - One way of preparing hydrogen is by the...Ch. 14 - Use thermochemical data (Appendix C) to decide...Ch. 14 - Use thermochemical data (Appendix C) to decide...Ch. 14 - What would you expect to be the general...Ch. 14 - Predict the general temperature and pressure...Ch. 14 - A mixture of carbon monoxide, hydrogen, and...Ch. 14 - Prob. 14.84QPCh. 14 - At 850C and 1.000 atm pressure, a gaseous mixture...Ch. 14 - An equilibrium mixture of dinitrogen tetroxide,...Ch. 14 - A 2.50-L vessel contains 1.75 mol N2, 1.75 mol H2,...Ch. 14 - A vessel originally contained 0.0200 mol iodine...Ch. 14 - A gaseous mixture containing 1.00 mol each of CO,...Ch. 14 - A 2.0-L reaction flask initially contains 0.010...Ch. 14 - Hydrogen bromide decomposes when heated according...Ch. 14 - Iodine monobromide, IBr, occurs as brownish-black...Ch. 14 - Phosgene, COCl2, is a toxic gas used in the...Ch. 14 - Dinitrogen tetroxide, N2O4, is a colorless gas...Ch. 14 - Prob. 14.95QPCh. 14 - Prob. 14.96QPCh. 14 - The amount of nitrogen dioxide formed by...Ch. 14 - The equilibrium constant Kc for the synthesis of...Ch. 14 - For the reaction N2(g)+3H2(g)2NH3(g) show that Kc...Ch. 14 - Prob. 14.100QPCh. 14 - At high temperatures, a dynamic equilibrium exists...Ch. 14 - At high temperatures, a dynamic equilibrium exists...Ch. 14 - The equilibrium constant Kc for the reaction...Ch. 14 - At 25C in a closed system, ammonium hydrogen...Ch. 14 - At moderately high temperatures, SbCl5 decomposes...Ch. 14 - The following reaction is important in the...Ch. 14 - Sulfuryl chloride is used in organic chemistry as...Ch. 14 - Phosgene was used as a poisonous gas in World War...Ch. 14 - Gaseous acetic acid molecules have a certain...Ch. 14 - Gaseous acetic acid molecules have a certain...Ch. 14 - When 0.112 mol of NO and 18.22 g of bromine are...Ch. 14 - Prob. 14.112QPCh. 14 - Prob. 14.113QPCh. 14 - Prob. 14.114QPCh. 14 - A chemist placed a mixture of CO2(g) and CF4(g)...Ch. 14 - Prob. 14.116QPCh. 14 - Prob. 14.117QPCh. 14 - The equilibrium constant Kc for the equation...Ch. 14 - Consider the reaction N2O4(g)2NO2(g). Would you...Ch. 14 - A researcher put 0.400 mol PCl3 and 0.600 mol Cl2...Ch. 14 - Ammonium hydrogen sulfide. NH4HS, is unstable at...Ch. 14 - A chemist wants to prepare phosgene, COCl2, by the...Ch. 14 - Prob. 14.123QPCh. 14 - Prob. 14.124QPCh. 14 - Prob. 14.125QPCh. 14 - A container with a volume of 1.500 L was evacuated...Ch. 14 - Prob. 14.127QPCh. 14 - Prob. 14.128QPCh. 14 - Prob. 14.129QPCh. 14 - Sulfur dioxide reacts with oxygen to produce...Ch. 14 - Molecular bromine, Br2, dissociates at elevated...Ch. 14 - Consider the production of ammonia from its...Ch. 14 - A mixture of 0.0565 mol phosphorus pentachloride,...Ch. 14 - Calcium carbonate, CaCO3, decomposes when heated...Ch. 14 - The following equilibrium was studied by analyzing...Ch. 14 - Prob. 14.136QPCh. 14 - Phosphorus pentachloride, PCl5, decomposes on...Ch. 14 - Antimony(V) chloride. SbCl5, decomposes on heating...
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