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Brief walk-through of temperature, heat, and energy transfer

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1 Brief walk-through of temperature, heat, and energy transfer
Thermodynamics Brief walk-through of temperature, heat, and energy transfer

2 Temperature Temperature: A measure of how hot (or cold) something is
Specifically, a measure of the average kinetic energy of the particles in an object.

3 Thermometers Thermometer: an instrument that measures and indicates temperature a. b. c. Bimetallic strip

4 Temperature Scales Kelvin Fahrenheit Celsius
International System (SI) of measurement Fahrenheit Based on 30 being the freezing point of water and 100 as the normal body temperature (later revised to 32 and 98.6) Celsius Based on water freezing at 0°C, boiling at 100°

5 Kelvin and Absolute Zero
The Kelvin scale is based on absolute zero Absolute Zero: the temp at which molecular movement stops 0 K on the Kelvin scale = ºC Tc = TK

6

7 What is heat? Heat: ENERGY created by the motion of atoms and molecules. All matter has heat. Put energy into a system and it heats up. Take energy away and it cools down (applet) The more kinetic energy the particles of a substance have, the greater the temperature of the object

8 Temperature and Thermal Energy
Temperature Limits The wide range of temperatures present in the universe is shown in the figure. Temperatures do not appear to have an upper limit. The interior of the Sun is at least 1.5×107°C. Temperatures do, however, have a lower limit.

9 Energy Transfer The transfer of heat is normally from a high temperature object to a lower temperature object.

10 1) Conduction Thermal Conduction: the transfer of heat within a substance, molecule by molecule.

11 2) Convection Convection: the movement of matter due to the differences in density that are caused by temp. variations applet

12 3) Radiation Radiation: the energy that is transferred as electromagnetic waves, Doesn’t need matter Most radiation comes from the sun

13 Conductor vs. Insulator
Conductor: any material through which energy can be transferred as heat Insulator: poor conductors

14 Energy conversion Mechanical energy is converted into thermal energy whenever you bounce a ball. Each time the ball hits the ground, some of the energy of the ball's motion is converted into heating up the ball, causing it to slow down at each bounce

15 Heat Transfer The specific heat of a material is the amount of energy that must be added to the material to raise the temperature of a unit mass by one temperature unit. Heat Transfer = Q = mC(Tf – Ti) Where: m = mass of object C = specific heat of object; T = temperature in Kelvins

16 Specific Heat Liquid water has a high specific heat compared to the specific heat of other substances. A mass of 1 kg of water requires 4180 J of energy to increase its temperature by 1 K. The same mass of copper requires only 385 J to increase its temperature by 1 K.

17 Example A 5.10 kg cast iron skillet is heated on the stove from 295 K to 450 K. How much heat had to be transferred to the iron? The specific heat of iron is 450 J/kg*K M = 5.10 kg; ∆T = 450 – 295 = 155 K Q = 5.10(450)(155) = 3.6 E 5 Joules

18 Conservation of Energy
A system is composed on two model blocks at different temps that are initially separated. When they are brought together, heat flows from the hotter block to the colder block. Total energy remains constant.

19 Conservation of Energy
Qbefore = Qafter mACaTi + mBCbTi = mACaTf + mBCbTf

20 Example – Your Turn A calorimeter contains 0.50 kg of water at 15 degrees Celsius. A kg block of zinc at 115 degrees Celsius is placed in the water. What is the final temperature of the system?

21 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter A calorimeter contains 0.50 kg of water at 15°C. A kg block of zinc at 115°C is placed in the water. What is the final temperature of the system?

22 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Step 1: Analyze and Sketch the Problem

23 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Let zinc be sample A and water be sample B. Sketch the transfer of heat from the hotter zinc to the cooler water.

24 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Identify the known and unknown variables. Known: mA = kg CA = 388 J/kg·ºC TA = 115 ºC mB = kg CB = 4180 J/kg·ºC TB= 15.0 ºC Unknown: Tf = ?

25 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Step 2: Solve for the Unknown

26 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Determine the final temperature using the following equation.

27 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Substitute mA = kg, CA = 388 J/kg·ºC, TA = 115 ºC, mB = kg, CB = 4180 J/kg·ºC, TB= 15.0 ºC.

28 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Step 3: Evaluate the Answer

29 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter Are the units correct? Temperature is measured in Celsius. Is the magnitude realistic? The answer is between the initial temperatures of the two samples, as is expected when using a calorimeter.

30 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter The steps covered were: Step 1: Analyze and Sketch the Problem Let zinc be sample A and water be sample B. Sketch the transfer of heat from the hotter zinc to the cooler water.

31 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Transferring Heat in a Calorimeter The steps covered were: Step 2: Solve for the Unknown Determine the final temperature using the following equation. Step 3: Evaluate the Answer

32 Temperature and Thermal Energy
Section Temperature and Thermal Energy 12.1 Calorimetry: Measuring Specific Heat Animals can be divided into two groups based on their body temperatures. Most are cold-blooded animals whose body temperatures depend on the environment. The others are warm-blooded animals whose body temperatures are controlled internally. That is, a warm-blooded animal’s body temperature remains stable regardless of the temperature of the environment.

33 Changes of State At normal atmospheric pressure, water boils at 373 K. The thermal energy needed to vaporize 1 kg of a liquid is called the heat of vaporization.

34 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Changes of State The figure below diagrams the changes of state as thermal energy is added to 1.0 g of water starting at 243 K (ice) and continuing until it reaches 473 K (steam).

35 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Melting Point This can be observed between points B and C in the figure, where the added thermal energy melts the ice at a constant 273 K. Because the kinetic energy of the particles does not increase, the temperature does not increase between points B and C.

36 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Boiling Point Once a solid is completely melted, there are no more forces holding the particles in the solid state. Adding more thermal energy again increases the motion of the particles, and the temperature of the liquid rises. In the diagram, this process occurs between points C and D.

37 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat of fusion The amount of energy needed to melt 1 kg of a substance is called the heat of fusion of that substance. The added energy causes a change in state but not in temperature. The horizontal distance in the figure from point B to point C represents the heat of fusion.

38 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat of Vaporization At normal atmospheric pressure, water boils at 373 K. The thermal energy needed to vaporize 1 kg of a liquid is called the heat of vaporization. For water, the heat of vaporization is J/kg. The distance from point D to point E in the figure represents the heat of vaporization. Every material has a characteristic heat of vaporization.

39 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat of Vaporization Between points A and B, there is a definite slope to the line as the temperature is raised. This slope represents the specific heat of the ice. The slope between points C and D represents the specific heat of water, and the slope above point E represents the specific heat of steam. Note that the slope for water is less than those of both ice and steam. This is because water has a greater specific heat than those of ice and steam.

40 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat of Vaporization The values of some heats of fusion, Hf, and heats of vaporization, Hv, are shown in the table below.

41 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Suppose that you are camping in the mountains. You need to melt 1.50 kg of snow at 0.0°C and heat it to 70.0°C to make hot cocoa. How much heat will be needed?

42 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Step 1: Analyze and Sketch the Problem

43 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Sketch the relationship between heat and water in its solid and liquid states.

44 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Sketch the transfer of heat as the temperature of the water increases.

45 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Identify the known and unknown variables. Known: mA = 1.50 kg Ti = 0.0 ºC C = 4180 J/kg· ºC Hf = 3.34×105 J/kg mB = kg Tf= 70.0 ºC Unknown: Qmelt ice = ? Qheat liquid = ? Qtotal = ?

46 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Step 2: Solve for the Unknown

47 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Calculate the heat needed to melt ice. Qmelt ice = mHf

48 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Substitute mA = 1.50 kg, Hf = 3.34×105 J/kg. Qmelt ice = (1.50 kg) (3.34×105 J/kg) = 5.01×105 J = 5.01×102 kJ

49 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Calculate the temperature change. ΔT = Ti – Tf

50 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Substitute Tf = 70.0 ºC, Ti = 0.0 ºC ΔT = 70.0 ºC – 0.0 ºC = 70.0 ºC

51 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Calculate the heat needed to raise the water temperature. Qheat liquid = mCΔT

52 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Substitute mA = 1.50 kg, C = 4180 J/kg· ºC, ΔT = 70.0 ºC. Qheat liquid = (1.50 kg) (4180 J/kg· ºC) (70.0 ºC) = 4.39×105 J = 4.39×102 kJ

53 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Calculate the total amount of heat needed. Qtotal = Qmelt ice + Qheat liquid

54 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Substitute Qmelt ice = 5.01×102 kJ, Qheat liquid = 4.39×102 kJ. Qtotal = 5.01×102 kJ ×102 kJ = 9.40×102 kJ

55 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Step 3: Evaluate the Answer

56 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Engines Click image to view the movie.

57 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Engines When the automobile engine is functioning, the exhaust gases and the engine parts become hot. As the exhaust comes in contact with outside air and transfers heat to it, the temperature of the outside air is raised. In addition, heat from the engine is transferred to a radiator. Outside air passes through the radiator and the air temperature is raised.

58 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 Heat Engines All of this energy, QL, transferred out of the automobile engine is called waste heat, that is, heat that has not been converted into work. When the engine is working continuously, the internal energy of the engine does not change, or ΔU = 0 = Q – W. The net heat going into the engine is Q = QH – QL. Thus, the work done by the engine is W = QH – QL.

59 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 The Second Law of Thermodynamics If heat engines completely converted thermal energy into mechanical energy with no waste heat, then the first law of thermodynamics would be obeyed. However, waste heat is always generated, and randomly distributed particles of a gas are not observed to spontaneously arrange themselves in specific ordered patterns.

60 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 The Second Law of Thermodynamics In the nineteenth century, French engineer Sadi Carnot studied the ability of engines to convert thermal energy into mechanical energy. He developed a logical proof that even an ideal engine would generate some waste heat. Carnot’s result is best described in terms of a quantity called entropy, which is a measure of the disorder in a system.

61 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 The Second Law of Thermodynamics The change in entropy, ΔS, is expressed by the following equation, in which entropy has units of J/K and the temperature is measured in kelvins. Change in Entropy The change in entropy of an object is equal to the heat added to the object divided by the temperature of the object.

62 Changes of State and the Laws of Thermodynamics
Section Changes of State and the Laws of Thermodynamics 12.2 The Second Law of Thermodynamics The increase in entropy and the second law of thermodynamics can be thought of as statements of the probability of events happening. The figure illustrates an increase in entropy as food-coloring molecules, originally separate from the clear water, are thoroughly mixed with the water molecules over time.


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