A hollow aluminum cylinder 22.0 cm deep has an internal capacity of 2.000 L at 21.0°C. It is completely filled with turpentine at 21.0°C. The turpentine and the aluminium cylinder are then slowly warmed together to 87.0°C. (The average linear expansion coefficient for aluminium is 2.4 10-5°C−1, and the average volume expansion coefficient for turpentine is 9.0 10-4°C−1.)

Question

A hollow aluminum cylinder 22.0 cm deep has an internal capacity of 2.000 L at 21.0°C. It is completely filled with turpentine at 21.0°C. The turpentine and the aluminium cylinder are then slowly warmed together to 87.0°C. (The average linear expansion coefficient for aluminium is 2.4  10-5°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 87.0°C? (Give your answer to four significant figures.)
(c) If the combination with this amount of turpentine is then cooled back to 21.0°C, how far below the cylinder's rim does the turpentine's surface recede?