Question

A hollow aluminum cylinder 15.0 cm deep has an internal capacity of 2.000 L at 17.0°C. It is completely filled with turpentine at 17.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 71.0°C. (The average linear expansion coefficient for aluminum is 24 ✕ 10−6°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 71.0°C? (Give your answer to at least four significant figures.)

(c) If the combination with this amount of turpentine is then cooled back to 17.0°C, how far below the cylinder's rim does the turpentine's surface recede?

Answer #1

A hollow aluminum cylinder 16.0 cm deep has an internal capacity
of 2.000 L at 15.0°C. It is completely filled with turpentine at
15.0°C. The turpentine and the aluminum cylinder are then slowly
warmed together to 85.0°C. (The average linear expansion
coefficient for aluminum is 24 ✕ 10−6°C−1,
and the average volume expansion coefficient for turpentine is 9.0
✕ 10−4°C−1.)
(a) How much turpentine overflows?
cm3
(b) What is the volume of turpentine remaining in the cylinder at
85.0°C? (Give...

A hollow aluminum cylinder 23.0 cm deep has an internal capacity
of 2.000 L at 16.0°C. It is completely filled with turpentine at
16.0°C. The turpentine and the aluminum cylinder are then slowly
warmed together to 78.0°C. (The average linear expansion
coefficient for aluminum is 24 ✕ 10−6°C−1,
and the average volume expansion coefficient for turpentine is 9.0
✕ 10−4°C−1.)
(a) How much turpentine overflows?
cm3
(b) What is the volume of turpentine remaining in the cylinder at
78.0°C? (Give...

A hollow aluminum cylinder 20.5 cm deep has an internal capacity
of 2.000 L at 18.0°C. It is completely filled with turpentine at
18.0°C. The turpentine and the aluminum cylinder are then slowly
warmed together to 80.0°C. (The average linear expansion
coefficient for aluminum is 24 ✕ 10−6°C−1, and the average volume
expansion coefficient for turpentine is 9.0 ✕ 10−4°C−1.) (a) How
much turpentine overflows? cm3 (b) What is the volume of turpentine
remaining in the cylinder at 80.0°C? (Give...

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