A hollow aluminum cylinder 15.5 cm deep has an internal capacityof 2.000 L at 22.0°C. It is completely filled with turpentine at22.0°C. The turpentine and the aluminum cylinder are then slowlywarmed together to 80.0°C. (The average linear expansioncoefficient for aluminum is 24 ✕ 10−6°C−1, and the average volumeexpansion 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 at80.0°C? (Give your answer to at least four significantfigures.)
c) If the combination with this amount of turpentine is thencooled back to 22.0°C, how far below the cylinder's rim does theturpentine's surface recede?