Concept explainers
(a)
Interpretation:
The percentage of
Concept introduction:
The Maxwell-Boltzmann distribution is given by,
Where,
•
•
•
•
This distribution depends on the mass of the particle and absolute temperature.
This probability distribution gives the distribution of velocities of any gas at a certain temperature.
Answer to Problem 19.27E
The value of percentage of
Explanation of Solution
It is given that the
The Maxwell-Boltzmann distribution function is,
Where,
•
•
•
•
Substitute the values of mass of the system, average velocity, Boltzmann constant and temperature in the given formula.
Thus, the value of percentage of
The value of percentage of
(b)
Interpretation:
The percentage of
Concept introduction:
The Maxwell-Boltzmann distribution is given by,
Where,
•
•
•
•
This distribution depends on the mass of the particle and absolute temperature.
This probability distribution gives the distribution of velocities of any gas at a certain temperature.
Answer to Problem 19.27E
The value of percentage of
Explanation of Solution
It is given that the
The Maxwell-Boltzmann distribution function is,
Where,
•
•
•
•
Substitute the values of mass of the system, average velocity, Boltzmann constant and temperature in the given formula.
Thus, the value of percentage of
The value of percentage of
(c)
Interpretation:
The percentage of
Concept introduction:
The Maxwell-Boltzmann distribution is given by,
Where,
•
•
•
•
This distribution depends on the mass of the particle and absolute temperature.
This probability distribution gives the distribution of velocities of any gas at a certain temperature.
Answer to Problem 19.27E
The value of percentage of
Explanation of Solution
It is given that the
The Maxwell-Boltzmann distribution function is,
Where,
•
•
•
•
Substitute the values of mass of the system, average velocity, Boltzmann constant and temperature in the given formula.
Thus, the value of percentage of
The value of percentage of
(d)
Interpretation:
The percentage of
Concept introduction:
The Maxwell-Boltzmann distribution is given by,
Where,
•
•
•
•
This distribution depends on the mass of the particle and absolute temperature.
This probability distribution gives the distribution of velocities of any gas at a certain temperature.
Answer to Problem 19.27E
The value of percentage of
Explanation of Solution
It is given that the
The Maxwell-Boltzmann distribution function is,
Where,
•
•
•
•
Substitute the values of mass of the system, average velocity, Boltzmann constant and temperature in the given formula.
The value of exponential is negligible and approximately equal to zero thus, the value of percentage of
The value of percentage of
(e)
Interpretation:
The percentage of
Concept introduction:
The Maxwell-Boltzmann distribution is given by,
Where,
•
•
•
•
This distribution depends on the mass of the particle and absolute temperature.
This probability distribution gives the distribution of velocities of any gas at a certain temperature.
Answer to Problem 19.27E
The value of percentage of
Explanation of Solution
It is given that the
The Maxwell-Boltzmann distribution function is,
Where,
•
•
•
•
Substitute the values of mass of the system, average velocity, Boltzmann constant and temperature in the given formula.
The value of exponential is negligible and approximately equal to zero thus, the value of percentage of
On comparison of the percentage of molecules moving with the given velocities it is observed that as the velocity increases, the percentage of molecules moving with that velocity increases till the interval of
The value of percentage of
As the velocity increases the percentage of molecules moving with that velocity increases till the interval of
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Chapter 19 Solutions
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