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The oxides of Group 2A metals (symbolized by M here) react with carbon dioxide according to the following reaction: MO ( s ) + CO 2 ( g ) → MCO 3 ( s ) A 2.85-g sample containing only MgO and CuO is placed in a 3.00-L container. The container is filled with CO 2 to a pressure of 740. torr at 20.°C. After the reaction has gone to completion, the pressure inside the flask is 390. torr at 20.°C. What is the mass percent of MgO in the mixture? Assume that only the MgO reacts with CO 2 .

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Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

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Section
BuyFindarrow_forward

Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 8, Problem 100E
Textbook Problem
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The oxides of Group 2A metals (symbolized by M here) react with carbon dioxide according to the following reaction:

MO ( s )   +  CO 2 ( g )    MCO 3 ( s )

A 2.85-g sample containing only MgO and CuO is placed in a 3.00-L container. The container is filled with CO2 to a pressure of 740. torr at 20.°C. After the reaction has gone to completion, the pressure inside the flask is 390. torr at 20.°C. What is the mass percent of MgO in the mixture? Assume that only the MgO reacts with CO2.

Interpretation Introduction

Interpretation: The mass percent of MgO in the given reaction of 2.85g sample of MgOandCuO with 740torr of CO2 is to be determined at 20oC , if the remaining pressure of CO2 gas is 390torr at 20oC .

Concept introduction:

  • Number of moles of a substance, According to ideal gas equation,

Numberofmoles=Pressure×VolumeR×Temperature

  • Mole ratios between the reactant and a product of a reaction are depends upon the coefficients of reactant and product in a balanced chemical equation.
  • Mass of a substance from its number of moles is,

Number of moles×Molecularmass in grams=takenmass 

  • Mass percentage of reacted mass in the original sample is the ratio of mass of substance reacted to mass of whole sample taken.

Explanation of Solution

Explanation

  • To find: the reacted pressure of CO2 gas in the given reaction.

The reacted pressure of CO2 gas in the given reaction is 390torr .

The initial pressure of CO2 in the reaction is given as 740torr .

The remaining pressure of CO2 gas after the reaction is given as 390torr .

Therefore,

The reacted pressure of CO2 gas in the given reaction is,

740torr-390torr=350torr

Hence, the reacted pressure of CO2 gas in the given reaction is 350torr .

  • To find: the number of moles of reacted CO2 gas in the given reaction.

The number of moles of reacted CO2 gas is 5.75×10-2mol .

The pressure of reacted CO2 is calculated as 350torr=350torr×1atm760torr=0.4605atm .

The volume of container is given as 3L .

The temperature of the reaction is given as 20oC=(20+273)K=293K .

The equation for finding number of moles of a substance, According to ideal gas equation,

Numberofmoles=Pressure×VolumeR×Temperature

Therefore,

The number of moles of reacted CO2 is,

Numberofmoles=0.4605atm×3L0.08206Latm/Kmol×293K =5.75×10-2mol

Hence, the number of moles of reacted CO2 is 5.75×10-2mol .

  • To find: the mole ratio between MgO and CO2 in the given reaction and the number of moles of MgO reacted.

1 mole ofMgO isreactingwith 1 mole ofCO2

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Chemistry: An Atoms First Approach
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