Concept explainers
(a)
The rms speed for a particle of diameter
(a)
Answer to Problem 21.61AP
The rms speed for a particle of diameter
Explanation of Solution
Given info: Density of spherical particle is
Write the expression for the rms speed:
Here,
Write the formula for mass:
Here,
Write the formula for volume of spherical particle:
It is given that diameter of spherical particle is
Substitute
Substitute
Since, boltzmann’s constant is
Substitute
Conclusion:
Therefore, the rms speed for a particle of diameter
(b)
The time interval for particle to move a distance equal to its own diameter.
(b)
Answer to Problem 21.61AP
The time interval for particle to move a distance equal to its own diameter is
Explanation of Solution
Given info: Density of spherical particle is
Write the expression for the time interval related to rms:
Here,
Since particle is moving equal to its diameter. So, the distance travelled by the particles is
Substitute
Conclusion:
Therefore, the time interval for particle to move a distance equal to its own diameter is
(c)
The rms speed and the time interval for a particle of diameter
(c)
Answer to Problem 21.61AP
The rms speed for a particle of diameter
Explanation of Solution
Given info: Density of spherical particle is
The rms speed for a particle of diameter
Substitute
The time interval for a particle of diameter
Substitute
Conclusion:
Therefore, the rms speed for a particle of diameter
(d)
The rms speed and the time interval for a sphere of
(d)
Answer to Problem 21.61AP
The rms speed for a sphere of
Explanation of Solution
Given info: Density of spherical particle is
Write the expression for the rms speed:
Here,
Substitute
Thus, the rms speed of the partical is
Write the formaula for volume in relation to mass and density.
Here,
Substitute
Write the formula for the volume of sphere:
Here,
Rearrange above equation for
Substitute
Write the expression for the time interval related to rms:
Substitute
Substitute
Conclusion:
Therefore, the rms speed for a sphere of
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Chapter 21 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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