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Natural gas is burned in homes for heat according to the following reaction: CH 4 + 2O 2 → 2H 2 O + CO 2 Determine how many grams of CO 2 would be formed for each of the following amounts of methane (assume unlimited amounts of oxygen): a . 2 .3 mol CH 4 b . 0 .52 mol CH 4 c . 11 g CH 4 d . 1 .3 kg CH 4

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Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

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Section
BuyFindarrow_forward

Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 4, Problem 55E
Textbook Problem
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Natural gas is burned in homes for heat according to the following reaction:

CH 4 + 2O 2   2H 2 O + CO 2

Determine how many grams of CO 2 would be formed for each of the following amounts of methane (assume unlimited amounts of oxygen):

a .  2 .3 mol CH 4 b .  0 .52 mol CH 4 c .  11 g CH 4 d .  1 .3 kg CH 4

Interpretation Introduction

Interpretation:

The mass of CO2 is to be determined for different amounts of methane.

Concept introduction:

The characteristic mass of a compound is the formula mass of the compound, which is obtained by adding the atomic masses of all atoms.

A conversion factor is a numerical ratio, which is used to change one unit into another.

The chemical formula represents the precise number of atoms in a molecule, but not their structural arrangement.

Explanation of Solution

a) 2.3mol CH4

The equivalence is obtained between moles of CH4 and moles CO2 with the help of the chemical formula as follows:

1mol CO21mol CH4

The equivalence is obtained between grams of CO2 and moles of CO2 with the help of the chemical formula as follows:

1mol CO244g CO2

In order to obtain the mass of CO2, the conversion factor proceeds as follows:

2.3mol CH4×(1mol CO21mol CH4)×(44g CO21mol CO2)=1.0×102g CO2

Here,

molarmass of CO2=44g/mol

Therefore, the amount of CO2 is 1.0×102 g.

b) 0.52mol CH4

The equivalence is obtained between moles of CH4 and moles of CO2 with the help of the chemical formula as follows:

1mol CO21mol CH4

The equivalence is obtained between grams of CO2 and moles of CO2 with the help of the chemical formula as follows:

1mol CO244g CO2

In order to obtain the mass of CO2, the conversion factor proceeds as follows:

0.52mol CH4×(1mol CO21mol CH4)×(44g CO21mol CO2)=23g CO2

molarmass of CO2=44g/mol

Therefore, the amount of CO2 is 23g

c) 11g CH4

The equivalence is obtained between grams of CH4 and moles of CH4 with the help of the chemical formula as follows:

1mol CH416g CH4

The equivalence is obtained between moles of CH4 and moles of CO2 with the help of the chemical formula as follows:

1mol CO21mol CO2

The equivalence is obtained between grams of CO2 and moles of CO2 with the help of the chemical formula as follows:

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Chemistry In Focus
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