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A cylindrical steel tube 15.5 cm long and welded shut at one end holds 2.000 L...

A cylindrical steel tube 15.5 cm long and welded shut at one end holds 2.000 L at 23.0°C. It is completely filled with oil at 23.0°C. The oil and the tube are then slowly warmed together to 77.0°C. (The average linear expansion coefficient for metal is 2.4 x 10-5 °C−1, and the average volume expansion coefficient for oil is 9.0 x 10-4 °C−1.)

(a) How much oil overflows?

(b) What is the volume of oil remaining in the cylinder at 77.0°C?

(c) If the combination with this amount of oil is then cooled back to 23.0°C, how far below the cylinder's rim does the oil’s surface recede?

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