Concept explainers
(a)
The amount of turpentine overflows.
(a)
Answer to Problem 21P
The amount of turpentine overflows is
Explanation of Solution
Write the equation of volume that overflows.
Here,
Conclusion:
Substitute,
Thus, the amount of turpentine overflows is
(b)
The remaining volume of the turpentine in the cylinder.
(b)
Answer to Problem 21P
The remaining volume of the turpentine in the cylinder is
Explanation of Solution
Write the equation of remaining volume of the liquid in the cylinder.
Here,
Conclusion:
Substitute,
Thus, the remaining volume of the turpentine in the cylinder is
(c)
The distance at which the cylinder’s rim does the turpentine’s surface recede.
(c)
Answer to Problem 21P
The distance at which the cylinder’s rim does the turpentine’s surface recede is
Explanation of Solution
Write the equation for the distance.
Here,
Write the expression for the percentage.
Here,
Write the expression for the volume of the liquid in the cylinder after it cools back to
Rewrite the expression for the distance from equation (III) by using (IV) and (V).
Conclusion:
Substitute,
Therefore, the distance at which the cylinder’s rim does the turpentine’s surface recede is
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Chapter 19 Solutions
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