A cylindrical steel tube 15.5 cm long and welded shut at one endholds 2.000 L at 23.0°C. It is completely filled with oil at23.0°C. The oil and the tube are then slowly warmed together to77.0°C. (The average linear expansion coefficient for metal is 2.4x 10-5 °C−1, and the average volume expansion coefficient for oilis 9.0 x 10-4 °C−1.)
(a) How much oil overflows?
(b) What is the volume of oil remaining in the cylinder at77.0°C?
(c) If the combination with this amount of oil is then cooledback to 23.0°C, how far below the cylinder's rim does the oil’ssurface recede?