Concept explainers
(a)
The volume of turpentine overflows.
(a)
Answer to Problem 19.21P
The volume of turpentine overflows is
Explanation of Solution
Given info: The initial volume of aluminum cylinder and turpentine is
Formula to calculate the change in volume of aluminum cylinder is,
Here,
Formula to calculate the change in volume of turpentine is,
Here,
The relation between coefficient of volume expansion of aluminum and coefficient of linear expansion of aluminum is,
Here,
The coefficient of linear expansion of aluminum is
Substitute
Thus, the coefficient of volume expansion of aluminum is
Write the expression for the temperature difference,
Substitute
Thus, the temperature difference is
Write the expression for overflow volume of the turpentine,
Substitute
The coefficient of volume expansion of turpentine is
Substitute
Conclusion:
Therefore, the volume of turpentine overflows is
(b)
The volume of turpentine remaining in the cylinder at
(b)
Answer to Problem 19.21P
The volume of turpentine remaining in the cylinder at
Explanation of Solution
Given info: The initial volume of aluminum cylinder and turpentine is
Write the expression for the new volume of turpentine in the cylinder,
The coefficient of volume expansion of turpentine is
Substitute
Conclusion:
Therefore, the volume of turpentine remaining in the cylinder at
(c)
The distance for the cylinder’s rim does the turpentine surface recede.
(c)
Answer to Problem 19.21P
The distance for the cylinder’s rim does the turpentine surface recede is
Explanation of Solution
Given info: The initial volume of aluminum cylinder and turpentine is
Write the expression for the volume of the turpentine in the cylinder after it cools back to
Write the expression for temperature difference,
Here,
Substitute
Thus, the temperature difference is
Substitute
Write the expression for the percentage of cylinder that is empty at
Substitute
The distance for the cylinder’s rim does the turpentine surface recede is,
Conclusion:
Therefore, the distance for the cylinder’s rim does the turpentine surface recede is
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Chapter 19 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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