A hollow aluminum cylinder 15.0 cm deep has an internal capacity of 2.000 L at 17.0°C. It is completely filled with turpentine at 17.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 71.0°C. (The average linear expansion coefficient for aluminum is 24 ✕ 10−6°C−1, and the average volume expansion coefficient for turpentine is 9.0 ✕ 10−4°C−1.)
(a) How much turpentine overflows?
(b) What is the volume of turpentine remaining in the cylinder at 71.0°C? (Give your answer to at least four significant figures.)
(c) If the combination with this amount of turpentine is then cooled back to 17.0°C, how far below the cylinder's rim does the turpentine's surface recede?
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