Concept explainers
(a)
The mass of the gas.
(a)
Answer to Problem 30P
The mass of the gas is
Explanation of Solution
Given information:Temperature of the air is
Calculate the volume of the air.
Here,
Formula to calculate number of moles of gas.
Here,
Substitute
The value of ideal gas constant is
Substitute
Thus, the number of moles of the gas is
Formula to calculate mass of the gas.
Here,
Substitute
Conclusion:
Therefore, the mass of the gas is
(b)
The gravitational force exerted on the container.
(b)
Answer to Problem 30P
The gravitational force exerted on the container is
Explanation of Solution
Given information:Temperature of the air is
Formula to calculate gravitational force exerted on the container.
Here,
The value of acceleration due to gravity is
Substitute
Conclusion:
Therefore, the gravitational force exerted on the container is
(c)
The force exerted on each face of the cube.
(c)
Answer to Problem 30P
The force exerted on each face of the cube
Explanation of Solution
Given information:Temperature of the air is
Formula to calculate force exerted on each face of the cube.
Here,
The number of faces of the cube are
Substitute
Conclusion:
Therefore, the force exerted on each face of the cube
(d)
To Explain:The reason why such a small sample exert such a great force.
(d)
Answer to Problem 30P
The small sample exert such a great force because this force is exerted due to the collision of the gas molecules.
Explanation of Solution
A small sample exerts such a great force because this force is exerted due to the collision of the gas molecules with the wall of the container that’s why it experiences such a great force.
Conclusion:
Therefore, a small sample exert such a great force this force is exerted due to the collision of the gas molecules.
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Chapter 16 Solutions
Principles of Physics: A Calculus-Based Text
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