INTRODUCTORY CHEMISTRY
INTRODUCTORY CHEMISTRY
8th Edition
ISBN: 2818000163285
Author: CORWIN
Publisher: PEARSON CO
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Chapter 10, Problem 82E
Interpretation Introduction

Interpretation:

The gas among H2S, SO3, and CF2Cl2 that has a density of 5.40g/L at STP is to be identified.

Concept introduction:

The density is defined as the ratio of the mass of a body to its volume. The volume occupied by one mole of gas at different conditions of temperature and pressure is known as molar volume. The molar volume of all idea gas at STP is 22.4 L/mol.

Expert Solution & Answer
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Answer to Problem 82E

The gas among H2S, SO3, and CF2Cl2 that has a density of 5.40g/L at STP is CF2Cl2.

Explanation of Solution

The molar mass of the compound is the sum of the molar mass of individual elements present in it.

The molar mass of the hydrogen atom is 1.01g/mol.

The molar mass of the sulfur atom is 32.07gmol1.

The molar mass of H2S=2H+S=2×1.01g/mol+32.07g/mol=2.02g/mol+32.07g/mol=34.09g/mol

The molar mass of the oxygen atom is 16.00g/mol.

MolarmassofSO3gas=S+(3×O)=32.07g/mol+(3×16.00g/mol)=32.07g/mol+48.00g/mol=80.07g/mol

The molar mass of the carbon atom is 12.01g/mol.

The molar mass of the fluorine atom is 19.00g/mol.

The molar mass of the chlorine atom is 35.45g/mol.

MolarmassofCF2Cl2 gas=C+(2×F)+(2×Cl)=12.01g/mol+(2×19.00g/mol)+(2×35.45g/mol)=12.01g/mol+38.00g/mol+70.9g/mol=120.91g/mol

The molar volume of all ideal gas at STP is 22.4 L/mol.

The density of a gas is given by the formula as shown below.

D=MV …(1)

Where,

V is the volume of the gas.

M is the mass of the gas.

Substitute the value of V and molar mass of H2S in the equation (1).

D=34.09g/mol22.4 L/mol=1.52 g/L

Substitute the value of V and molar mass of SO3 in the equation (1).

D=80.07g/mol22.4 L/mol=3.57 g/L

Substitute the value of V and molar mass of CF2Cl2 in the equation (1).

D=120.91g/mol22.4 L/mol=5.40 g/L

Therefore, CF2Cl2 has 5.40 g/L density at STP.

Conclusion

The dichlorodifluoromethane (CF2Cl2) has 5.40 g/L density at STP.

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Chapter 10 Solutions

INTRODUCTORY CHEMISTRY

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