Concept explainers
(a)
The volume of turpentine overflows.
(a)
Answer to Problem 19.21P
The volume of turpentine overflows is
Explanation of Solution
Given info: The initial volume of aluminum cylinder and turpentine is
Formula to calculate the change in volume of aluminum cylinder is,
Here,
Formula to calculate the change in volume of turpentine is,
Here,
The relation between coefficient of volume expansion of aluminum and coefficient of linear expansion of aluminum is,
Here,
The coefficient of linear expansion of aluminum is
Substitute
Thus, the coefficient of volume expansion of aluminum is
Write the expression for the temperature difference,
Substitute
Thus, the temperature difference is
Write the expression for overflow volume of the turpentine,
Substitute
The coefficient of volume expansion of turpentine is
Substitute
Conclusion:
Therefore, the volume of turpentine overflows is
(b)
The volume of turpentine remaining in the cylinder at
(b)
Answer to Problem 19.21P
The volume of turpentine remaining in the cylinder at
Explanation of Solution
Given info: The initial volume of aluminum cylinder and turpentine is
Write the expression for the new volume of turpentine in the cylinder,
The coefficient of volume expansion of turpentine is
Substitute
Conclusion:
Therefore, the volume of turpentine remaining in the cylinder at
(c)
The distance for the cylinder’s rim does the turpentine surface recede.
(c)
Answer to Problem 19.21P
The distance for the cylinder’s rim does the turpentine surface recede is
Explanation of Solution
Given info: The initial volume of aluminum cylinder and turpentine is
Write the expression for the volume of the turpentine in the cylinder after it cools back to
Write the expression for temperature difference,
Here,
Substitute
Thus, the temperature difference is
Substitute
Write the expression for the percentage of cylinder that is empty at
Substitute
The distance for the cylinder’s rim does the turpentine surface recede is,
Conclusion:
Therefore, the distance for the cylinder’s rim does the turpentine surface recede is
Want to see more full solutions like this?
Chapter 19 Solutions
EBK PHYSICS:F/SCI.+ENGRS.,TECH.UPDATED
- A hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0C. It is completely filled with turpentine at 20.0C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0C? (c) If the combination with this amount of turpentine is then cooled back to 20.0C, how far below the cylinders rim does the turpentines surface recede?arrow_forwardAn aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)arrow_forwardAn ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?arrow_forward
- A hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0C. It is completely filled with turpentine at 20.0C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0C? (c) If the combination with this amount of turpentine is then cooled back to 20.0C, how far below the cylinders rim does the turpentines surface recede?arrow_forwardOn a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? b. Avogadros number of air molecules has a mass of 2.85 102 kg. What is the mass of 1.00 m3 of air? c. Does the value calculated in part (b) agree with the stated density of air at this temperature?arrow_forwardFor a temperature increase of 10 at constant volume, what is the heat absorbed by (a) 3.0 mol of a dilute monatomic gas; (b) 0.50 mol of a dilute diatomic gas; and (c) 15 mol of a dilute polyatomic gas?arrow_forward
- The average coefficient of linear expansion of copper is 17 106 (C)1. The Statue of Liberty is 93 in tall on a summer morning when the temperature is 25C. Assume the copper plates covering the statue are mounted edge to edge without expansion joints and do not buckle or bind on the framework supporting them as the day grows hot. What is the order of magnitude of the statues increase in height? (a) 0.1 mm (b) 1 mm (c) 1 cm (d) 10 cm (e) 1 marrow_forwardA 1.00-mol sample of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate (a) the energy transferred to the gas by heat, (b) the increase in its internal energy, and (c) the work done on the gas.arrow_forwardA certain ideal gas has a molar specific heat of Cv = 72R. A 2.00-mol sample of the gas always starts at pressure 1.00 105 Pa and temperature 300 K. For each of the following processes, determine (a) the final pressure, (b) the final volume, (c) the final temperature, (d) the change in internal energy of the gas, (e) the energy added to the gas by heat, and (f) the work done on the gas. (i) The gas is heated at constant pressure to 400 K. (ii) The gas is heated at constant volume to 400 K. (iii) The gas is compressed at constant temperature to 1.20 105 Pa. (iv) The gas is compressed adiabatically to 1.20 105 Pa.arrow_forward
- A well-insulated styrofoam bucket contains 146 g of ice at 0 °C. If 20 g of steam at 100 °C is injected into the bucket,what is the final equilibrium temperature of the system?(c water=4186 J/kg.°C, Lf= 3.35*10 ^5 J/kg, Lv=2.26*10^6 J/kg)arrow_forwardA 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?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning