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Concept explainers
(a)
Interpretation:
The number of atoms of each gas, Ne, Ar and Xe needs to be calculated at STP.
Concept Introduction:
STP is a short form of standard temperature and pressure. The value for standard pressure and temperature is 1 atm and 273.15 K respectively.
At STP 1 mol of any gas occupies 22.4 L.
(a)
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Answer to Problem 3E
Number of atoms in 22.4 L of each gas is
Explanation of Solution
At STP, the number of moles of gas having 22.4 L of gas is 1 mol. Since, 1 mol gas must contain
Thus, all the gas must contain
b)
Interpretation:
The number of density of atoms of each gas, Ne, Ar and Xe needs to be calculated at STP.
Concept Introduction:
Number density of a gas sample is the number of gas molecules present in certain volume of gas sample. It can be also expressed in mol/L.
b)
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Answer to Problem 3E
Number density for Ne, Ar and Xe will be same which is 0.045 mol/L.
Explanation of Solution
At STP, the number of moles of gas having 22.4 L of gas is 1 mol.
The number of density of atoms is calculated using formula:
Where n is number of moles and V is volume.
Since, the number of moles of each gas is 1 and volume is 22.4 L so,
density (n/V)
c)
Interpretation:
The sample that contains largest mass needs to be determined amongst the following:
Ne, Ar and Xe
Concept Introduction:
The formula used to determine the mass of a sample is:
c)
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Answer to Problem 3E
22.4 L Xe will have the largest mass.
Explanation of Solution
At STP, the number of moles of gas having 22.4 L of gas is 1 mol.
Molecular weight of Ne, Ar and Xe are 20 g/mol, 40 g/mol and 131 g/mol respectively.
Thus, mass of 1 mol Ne
Mass of 1 mol Ar
Mass of 1 mol Xe
d)
Interpretation:
The sample that contains largest density needs to be determined amongst the following:
Ne, Ar and Xe
Concept Introduction:
The ratio of mass and volume of a substance is said to be its density. Mathematically,
d)
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Answer to Problem 3E
Xe has maximum mass density.
Explanation of Solution
At STP, the number of moles of gas having 22.4 L of gas is 1 mol.
Molecular weight of Ne, Ar and Xe are 20 g/mol, 40 g/mol and 131 g/mol respectively.
Thus, mass of 1 mol Ne
Mass density
Mass of 1 mol Ar
Mass density
Mass of 1 mol Xe
Mass density
Chapter U3 Solutions
Living By Chemistry: First Edition Textbook
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