a.
Interpretation:The mass of Xe in the given room needs to be calculated.
Concept introduction: The expression relating the pressure, P, volume, V with number of moles, n and temperature, T of an ideal gas is:
Where R is Universal gas constant.
a.
Answer to Problem 121AE
Explanation of Solution
Given:
The volume of Xe in atmosphere =
The dimensions of room is 7.26 m by 8.80 m by 5.67 m.
The volume of the room is:
Converting volume from m3to L as:
The amount of Xe present in the atmosphere is:
So,
The amount of Xe present in the room is:
Now, the number of moles of Xe present in the room is determined using equation (1):
The values to be substituted are:
Now, the mass of Xe is determined using formula:
Rearranging as:
Molar mass of Xe is
Substituting the values:
Thus, the mass of Xe in the given room is
b.
Interpretation: The number of Xe atoms inhaled in each breath needs to be calculated when the volume of air taken by a person is about 2 L.
Concept introduction: The expression relating the pressure, P, volume, V with number of moles, n and temperature, T of an ideal gas is:
Where R is Universal gas constant.
b.
Answer to Problem 121AE
Explanation of Solution
The amount of Xe in
Now, the number of moles of Xe present in the breath is determined using equation (1):
The values to be substituted are:
Now, the number of atoms ofXe is determined using formula:
Where
Thus, the number of Xe atoms inhaled in each breath is
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Chapter 18 Solutions
Chemical Principles
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