
Concept explainers
(a)
The density of particles in the atmosphere of Titan.

Answer to Problem 115QAP
The density of particles in the atmosphere of Titan is
Explanation of Solution
Given info:
Temperature at Titan is,
Pressure at Titan is,
Mass of nitrogen molecule is,
Diameter of the sphere is,
Formula used:
Formula for the ideal gas equation is,
Calculation:
The density of particles can be calculated as,
Conclusion:
Thus, the density of particles in the atmosphere of Titan is
(b)
The body that have denser atmosphere, Titan or Earth.

Answer to Problem 115QAP
Titan has denser atmosphere.
Explanation of Solution
Given info:
Temperature at Titan is,
Pressure at Titan is,
Mass of nitrogen molecule is,
Diameter of the sphere is,
Temperature at Earth is,
Pressure at Earth is,
Formula used:
Formula for the ideal gas equation is,
Calculation:
The particle density on Titan can be calculated as,
The particle density on Earth can be calculated as,
Dividing equation (1) by equation (2), we get
So, the particle density on Titan is
Conclusion:
Thus, Titan has denser atmosphere.
(c)
The average distance that a nitrogen molecule travels between collisions on Titan and compare it with the distance for oxygen.

Answer to Problem 115QAP
The average distance that a nitrogen molecule travels between collisions on Titan is
Explanation of Solution
Given info:
Diameter of the sphere is,
Density of particle at Titan is,
Formula used:
The formula for the mean free path is given as,
Calculation:
The average distance that a nitrogen molecule travels between collisions can be calculated as,
The average distance for oxygen is
The average distance that a nitrogen molecule travels between collisions is not reasonable because it is more than the diameter of the sphere. It shows that there will be no collision between the particles in the atmosphere of Titan.
Conclusion:
Thus, the average distance that a nitrogen molecule travels between collisions on Titan is
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