Explanation The reaction given is the decomposition of dolomite to produce metal oxides and carbon dioxide. The components present in dolomite are calcium carbonate and magnesium carbonate. Considering one mole of dolomite contains x mole of CaCO 3 and y mole of MgCO 3 , the reaction of decomposition can be written as follows; x CaCO 3 + y MgCO 3 → x CaO + y MgO + ( x + y ) CO 2 Total mass of dolomite is given as 10 .04 g . This can be expressed considering the starting material as shown below; x ( 100.08 g ⋅ mol − 1 ) + y ( 84.31 g ⋅ mol − 1 ) = 10.04 g (1) Molar mass of magnesium oxide is 40.3 g ⋅ mol − 1 and that of calcium oxide is 56 g ⋅ mol − 1 . The residue of metal oxides that is left after decomposition is 5 .12 g . Therefore, the equation can be written as follows; x ( 56.0 g ⋅ mol − 1 ) + y ( 40.3 g ⋅ mol − 1 ) = 5.12 g (2) Rearranging equation (1), in terms of x as shown below; x ( 100.08 g ⋅ mol − 1 ) + y ( 84.31 g ⋅ mol − 1 ) = 10.04 g x ( 100.08 g ⋅ mol − 1 ) = 10.04 g − y ( 84.31 g ⋅ mol − 1 ) x = 10.04 g − y ( 84.31 g ⋅ mol − 1 ) ( 100.08 g ⋅ mol − 1 ) Substituting the above equation in equation (2) and solving for y as shown below; x ( 56.0 g ⋅ mol − 1 ) + y ( 40.3 g ⋅ mol − 1 ) = 5.12 g 10.04 g − y ( 84

Chemical Principles: The Quest for Insight

7th Edition

ISBN: 9781464183959

Author: Peter Atkins, Loretta Jones, Leroy Laverman

Publisher: W. H. Freeman

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Chapter F, Problem F.24E

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Percentage by mass of MgCO3 that is present in the original sample has to be calculated.

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Chapter F, Problem F.23E

Chapter F, Problem F.25E

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Chemical Principles: The Quest for Insight

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Percentage by mass of MgCO 3 that is present in the original sample has to be calculated.

Solution Summary: The author analyzes the reaction of decomposition of dolomite to produce metal oxides and carbon dioxide.

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Interpretation:

Percentage by mass of MgCO3 that is present in the original sample has to be calculated.

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Chapter F Solutions

Percentage by mass of MgCO 3 that is present in the original sample has to be calculated.

Solution Summary: The author analyzes the reaction of decomposition of dolomite to produce metal oxides and carbon dioxide.

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Interpretation: Percentage by mass of MgCO3 that is present in the original sample has to be calculated.

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Chapter F Solutions

Interpretation:

Percentage by mass of MgCO3 that is present in the original sample has to be calculated.