A hollow aluminum cylinder 15.0 cm deep has an internal capacity of 2.000 L at 19.0°C. It is completely filled with turpentine at 19.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 69.0°C. (The average linear expansion coefficient for aluminum 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 69.0°C?
(c) If the combination with this amount of turpentine is then cooled back to 19.0°C, how far below the cylinder's rim does the turpentine's surface recede?