When M 2 S 3 (s) is heated in air, it is converted to MO 2 ( s ). A 4.000-g sample of M 2 S 3 (s) shows a decrease in mass of 0.277 g when it is heated in air. What is the average atomic mass of M?

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Interpretation Introduction Interpretation: It is given that, when element M 2 S 3 (s) is heated in air to produce MO 2 (s) then mass of M 2 S 3 (s) decreases. The average atomic mass of M is to be calculated. Concept introduction: The molar mass of any compound can be calculated by adding of atomic weight of individual atoms present in it. To determine : The average atomic mass of M. Explanation Given The mass of M 2 S 3 (s) is 4.0g. The decrease in mass of M 2 S 3 (s) is 0.277g. The mass left after loss of 0.277g is, 4 .0g - 0 .277 g = 3 .723g The value 3 .723g is the mass of MO 2 (s) . The reaction of M 2 S 3 (s) in air to produce MO 2 (s) is, M 2 S 3 (s) + 5O 2(g) + Heat → 2MO 2 (s) +3SO 2 ( g ) It is clear from the reaction that, two moles of reactant M 2 S 3 (s) should give two moles of product MO 2 (s) . Molar mass is the sum of atomic mass of individual atoms. The molar mass of M 2 S 3 (s) is, 2A + 3(32 .07g/mol) Where, A is atomic mass of element M. The molar mass of MO 2 (s) is, 2A + 4(15 .999g/mol) Formula The mass of compound is calculated by using the formula, Number of moles = Mass of compound Molar mass Since, number of moles of MO 2 (s) and M 2 S 3 (s) is same, therefore, from above equation, Mass of M 2 S 3 (s) Molar mass of M 2 S 3 (s) = Mass of MO 2 (s) Molar mass of MO 2 (s) Substitute the values of mass and atomic mass of MO 2 (s) and M 2 S 3 (s) in above equation

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Publisher: Cengage Learning

ISBN: 9781305079243

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Interpretation Introduction

Interpretation: It is given that, when element M2S3(s) is heated in air to produce MO2(s) then mass of M2S3(s) decreases. The average atomic mass of M is to be calculated.

Concept introduction: The molar mass of any compound can be calculated by adding of atomic weight of individual atoms present in it.

To determine: The average atomic mass of M.

Explanation of Solution

Given

The mass of M2S3(s) is 4.0g.

The decrease in mass of M2S3(s) is 0.277g.

The mass left after loss of 0.277g is,

4.0g - 0.277 g = 3.723g

The value 3.723g is the mass of MO2(s) .

The reaction of M2S3(s) in air to produce MO2(s) is,

M2S3(s)+ 5O2(g)+ Heat → 2MO2(s)+3SO2(g)

It is clear from the reaction that, two moles of reactant M2S3(s) should give two moles of product MO2(s).

Molar mass is the sum of atomic mass of individual atoms. The molar mass of M2S3(s) is,

2A + 3(32.07g/mol)

Where,

A is atomic mass of element M.

The molar mass of MO2(s) is,

2A + 4(15.999g/mol)

Formula

The mass of compound is calculated by using the formula,

Number of moles =Mass of compoundMolar mass

Since, number of moles of MO2(s) and M2S3(s) is same, therefore, from above equation,

Mass of M2S3(s)Molar mass of M2S3(s)=Mass of MO2(s)Molar mass of MO2(s)

Substitute the values of mass and atomic mass of MO2(s) and M2S3(s) in above equation

When M 2 S 3 (s) is heated in air, it is converted to MO 2 ( s ). A 4.000-g sample of M 2 S 3 (s) shows a decrease in mass of 0.277 g when it is heated in air. What is the average atomic mass of M?

Chemistry: An Atoms First Approach

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Chemistry: An Atoms First Approach

When M₂S₃(s) is heated in air, it is converted to MO₂(s). A 4.000-g sample of M₂S₃(s) shows a decrease in mass of 0.277 g when it is heated in air. What is the average atomic mass of M?

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When M 2 S 3 (s) is heated in air, it is converted to MO 2 ( s ). A 4.000-g sample of M 2 S 3 (s) shows a decrease in mass of 0.277 g when it is heated in air. What is the average atomic mass of M?

Chemistry: An Atoms First Approach

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Chemistry: An Atoms First Approach