# A hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0°C. It is completely filled with turpentine at 20.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0°C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0°C? (c) If the combination with this amount of turpentine is then cooled back to 20.0°C, how far below the cylinder’s rim does the turpentine’s surface recede?

### College Physics

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781285737027

Chapter
Section

### College Physics

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781285737027
Chapter 10, Problem 21P
Textbook Problem
40 views

## A hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0°C. It is completely filled with turpentine at 20.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0°C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0°C? (c) If the combination with this amount of turpentine is then cooled back to 20.0°C, how far below the cylinder’s rim does the turpentine’s surface recede?

(a)

To determine
The volume of turpentine that has overflowed.

### Explanation of Solution

Given Info: The length of the hollow cylinder (l) is 20.0 cm. The capacity of the cylinder ( V0 ) is 2.000 L at T1=20.0οC . The temperature is changed to T2=80.0οC . The co-efficient of volume expansion of turpentine is βT=9.0×104/οC . The co-efficient of volume expansion of aluminum is βAl=72×106/οC .

Formula to calculate the volume of turpentine that has overflowed is,

Vof=ΔVTΔVAl       (I)

• ΔVT is the change in volume of turpentine.
• ΔVAl is the change in volume of Aluminum.

Formula to calculate the change in volume of turpentine is,

ΔVT=V0βT(T2T1)       (II)

Formula to calculate the change in volume of aluminum is,

ΔVAl=V0βAl(T2T1)       (III)

Substitute Equations (II) and (III) in (I).

Vof=V0(T2T1)(βTβAl)

Substitute 2

(b)

To determine
The volume of turpentine remaining.

(c)

To determine
The distance between the rim and the surface of turpentine (h).

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Trans-fatty acids arise when unsaturated fats are used for deep frying. hydrogenated. baked, used as preservati...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Understanding Nutrition (MindTap Course List)

What is physically exchanged during crossing over?

Human Heredity: Principles and Issues (MindTap Course List)

A rocket is fired straight up through the atmosphere from the South Pole, burning out at an altitude of 250 km ...

Physics for Scientists and Engineers, Technology Update (No access codes included)

A__________ is dissolved in a solvent. a. molecule b. solute c. salt

Biology: The Unity and Diversity of Life (MindTap Course List)

How are the oceans trenches formed? How are earthquakes related to their formation?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin