EBK CHEMISTRY
EBK CHEMISTRY
12th Edition
ISBN: 8220102797857
Author: Chang
Publisher: YUZU
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Chapter 5, Problem 5.129QP

Acidic oxides such as carbon dioxide react with basic oxides like calcium oxide (CaO) and barium oxide (BaO) to form salts (metal carbonates). (a) Write equations representing these two reactions. (b) A student placed a mixture of BaO and CaO of combined mass 4.88 g in a 1.46-L flask containing carbon dioxide gas at 35°C and 746 mmHg. After the reactions were complete, she found that the CO2 pressure had dropped to 252 mmHg. Calculate the percent composition by mass of the mixture. Assume volumes of the solids are negligible.

(a)

Expert Solution
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Interpretation Introduction

Interpretation:

The given reaction of equation and the percent composition by mass of the mixture, the volume of the solids has to be determined.

Concept Introduction:

Ideal gas is the most usually used form of the ideal gas equation, which describes the relationship among the four variables P, V, n, and T.  An ideal gas is a hypothetical sample of gas whose pressure-volume-temperature behavior is predicted accurately by the ideal gas equation.

PV = nRT

Answer to Problem 5.129QP

CaO(s)+CO2(g)CaCO3(s)BaO(s)+CO2(g)BaCO3(s)

Explanation of Solution

To find the given reaction of equation

CaO(s)+CO2(g)CaCO3(s)BaO(s)+CO2(g)BaCO3(s)

Calcium oxide is combined with Carbon dioxide to give Calcium Carbonate this reaction formed addition product.

Barium oxide is combined with Carbon dioxide to give Barium Carbonate this reaction formed addition product.

(b)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

The given reaction of equation and the percent composition by mass of the mixture, the volume of the solids has to be determined.

Concept Introduction:

Ideal gas is the most usually used form of the ideal gas equation, which describes the relationship among the four variables P, V, n, and T.  An ideal gas is a hypothetical sample of gas whose pressure-volume-temperature behavior is predicted accurately by the ideal gas equation.

PV = nRT

Answer to Problem 5.129QP

CaO : 0.513 g4.88 g×100%=10.5%BaO : 4.37 g4.88 g×100%=89.5%

Explanation of Solution

We need to find the number of moles of CO2 consumed in the reaction. We can do this by calculating the initial moles of CO2 in the flask and then comparing it to the CO2 remaining after the reaction.

initially:CO2=PVRT=(746mmHg×1atm760mmHg)(1.46L)(0.08206L.atmK.mol)(35+273K)=0.0567molCO2remaining:nCO2=PVRT=(746mmHg×1atm760mmHg)(1.46L)(0.08206L.atmK.mol)(35+273K)=0.0191molCO2

mol CaO + mol BaO = 0.0376 mol 

Thus, the amount of CO2 consumed in the reaction is:

 (0.0567 mol - 0.0191 mol) = 0.0376 mol CO2. Since the mole ratio between CO2 and both reactants (CaO and BaO) is 1:1, 0.0376 mole) of the mixture must have reacted.

Let x = mass of CaO in the mixture, then (4.88  -  x) = mass of BaO in the mixture. We can write: 

[xgCaO×1molCaO56.08gCaO]+[(4.88-x)gBaO×1molBaO153.3gBaO]

0.01783x  -  0.006523x + 0.0318 = 0.0376  x = 0.513 g = mass of CaO in the mixture  mass of BaO in the mixture = 4.88  -  x = 4.37 g 

Mass of Calcium oxide in the mixture 0.513 g  so the

mass of BaO in the mixture = 4.88  -  x = 4.37 g 

The percent compositions by mass in the mixture are:  CaO : 0.513 g4.88 g×100%=10.5%BaO : 4.37 g4.88 g×100%=89.5%

Hence the mixture is contains 10.5% of the Calcium oxide and 89.5% of Barium oxide

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Chapter 5 Solutions

EBK CHEMISTRY

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