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Thermodynamics Heat and Temperature, Thermal Properties of Matter, The First Law of Thermodynamics, The Second Law of Thermodynamics, Heat Engines, Internal-Combustion Engines, Refrigerators, Carnot Cycle, Entropy
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Homework#1 What is a heat engine?
What is an internal-combustion engine? How does an internal-combustion engine work? Enumerate. How is heat transferred in a refrigerator? Enumerate.
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Example A surveyor uses a steel measuring tape that is exactly m long at a temperature of 20°C. What is its length on a hot summer day when the temperature is 35°C? α= 1.2 x10-3/C°
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Example Feed a cold, starve a fever: During a bout with the flu, an 80-kg man ran a fever of 2.0°C above normal, that is a body temperature of 39.0°C. Assuming that the body is mostly water, how much heat is required to raise his temperature by that amount? cwater= 4190J/Kg
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Thermal Equilibrium, Temperature Scales, Thermal Expansion, Quantity of Heat, Calorimetry and Phase Changes, Mechanisms of Heat transfer Temperature and heat
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Temperature and Thermal Equilibrium
Temperature is a measure of hotness or coldness. When an interaction causes no further change in the system, then it is in the state of thermal equilibrium. Two systems are in thermal equilibrium if and only if they have the same temperature.
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Zeroth Law of thermodynamics
If one system is initially in thermal equilibrium with two other systems, then, these two other systems are also in thermal equilibrium with each other.
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Thermometric Scales
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Thermal Expansion Linear expansion Volume expansion Thermal Stress
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Quantity of Heat (Q) Energy transfer that takes place solely because of temperature difference is called heat flow or heat transfer, and energy transferred in this way is called heat. Calorie (cal) is defined as the amount of heat required to raise the temperature of one gram of water from 14.5°C- 15.5°C
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Conversion factors for the Quantity of Heat
1 cal = 4.186J 1 kcal =1000 cal = 4186 J 1 Btu= 778 ft.lb = 252 cal = 1055 J
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Specific Heat Capacity (C)
The amount of heat needed to raise one kilogram of a substance to 1C°
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Phase Changes The term phase is used to describe the specific state of matter. A transition from one phase to another is called a phase change or phase transition.
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Phase Change Heat of fusion (Lf)- the heat required per unit mass in changing solid to liquid Heat of vaporization (Lv)- the heat required per unit mass in changing liquid to gas Heat of combustion (Lc) - the heat required per unit mass in complete combustion of one gram of gasoline
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Mechanisms of Heat transfer
Conduction occurs between a body or between two bodies in contact. Convection depends on motion of mass from one region of space to another. Radiation is heat transfer by EM radiation
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Example A surveyor uses a steel measuring tape that is exactly m long at a temperature of 20°C. What is its length on a hot summer day when the temperature is 35°C? α= 1.2 x10-3/C° 50.009m
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Example Feed a cold, starve a fever: During a bout with the flu, an 80-kg man ran a fever of 2.0°C above normal, that is a body temperature of 39.0°C. Assuming that the body is mostly water, how much heat is required to raise his temperature by that amount? cwater= 4190J/Kg.K 6.7x105J= 133kcal
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Thermal properties of matter
Molecular Properties of Matter, KMT, Heat Capacities, Phases of Matter Thermal properties of matter
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KMT Gases are considered to be composed of minute discrete particles.
The molecule in a container are believed to be in ceaseless motion during which they collide with each other and the walls of the container
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KMT The molecular collision is perfectly elastic.
The molecules average KE is proportional to any given absolute temperature. All forces of attraction are negligible due to rapid molecular separation.
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Gas Laws Boyle’s Law:P1 x V1 = P2 x V2 Charles’ Law: V1/T1 = V2/T2
Gay-Lussac’s Law: P1/T1 = P2/T2
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Ideal Gas law Emphasizes on the amount of substance and its effect on the volume of a gas, represented by Avogadro’s law nα V if PVα RT, then PVα nRT
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Graham’s law of diffusion
The rate of flow of a gas molecule is inversely proportional to the square root of its density or its molecular weight, at constant temperature and pressure. r1/r2 = √ d2/d1 r1/r2 = √ MW2/MW1
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Example How much faster does H2 travel than O2 molecule at the same temperature and pressure if molecular weights of H2 and O2 are 2g/mole and 32g/mole respectively? H2 molecules travel 4times faster than O2 molecules
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Root-mean-square speed of a gas molecule
Where k is the ratio of R to NA (Boltzman constant)= 1.381x10-23 J/molecule.K
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First law of thermodynamics
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First Law of Thermodynamics
Internal energy is the sum of heat exchange between the system and the surroundings and W done on or by the system Internal energy is the change in initial and final energies of the system
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Sign Convention W done on the system: + W done by the system: - Heat added to the system: + Heat released by the system: -
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First Law of Thermodynamics
Internal energy is the sum of heat exchange between the system and the surroundings and W done on or by the system Internal energy is the change in initial and final energies of the system
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Sign Convention W done on the system: - W done by the system: + Heat added to the system: + Heat released by the system: -
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Second law of thermodynamics
Heat engines, Internal-Combustion Engines, Refrigerators, Carnot Cycle, Entropy Second law of thermodynamics
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Second Law of Thermodynamics
It is a general principle which places constraints upon the direction of heat transfer and the attainable efficiencies of heat engines. In so doing, it goes beyond the limitations imposed by the first law of thermodynamics.
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Second Law of Thermodynamics: heat engines
This is sometimes called the "first form" of the second law, and is referred to as the Kelvin-Planck statement of the second law. It is impossible to extract an amount of heat QH from a hot reservoir and use it all to do work W . Some amount of heat QC must be exhausted to a cold reservoir.
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Second Law of Thermodynamics: heat engines
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Second Law of Thermodynamics: heat engines
The most efficient heat engine cycle is the Carnot cycle, consisting of two isothermal processes and two adiabatic processes. the Carnot efficiency: the processes involved in the heat engine cycle must be reversible and involve no change in entropy.
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The 4-stroke engine cycle
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The 4-stroke engine cycle
Intake stroke: the inlet valve is open and a fresh fuel-air mixture is pulled into the cylinder by the downward motion of the piston.
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The 4-stroke engine cycle
Compression stroke: the piston moves upward, compressing the mixture. The temperature and pressure increase. Prior to the piston reaching the top of its travel, the spark plug ignites the mixture and a flame begins to propagate across the combustion chamber.
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The 4-stroke engine cycle
Expansion/Power stroke: the flame continues its travel across the combustion chamber. The high pressure in the cylinder pushes the piston downward. Energy is extracted from the burned gases in the process.
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The 4-stroke engine cycle
Exhaust stroke: the hot products flow rapidly out of the cylinder because of the relatively high pressure within the cylinder compared to that in the exhaust port.
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Second Law of Thermodynamics: Refrigerators
It is not possible for heat to flow from a colder body to a warmer body without any work having been done to accomplish this flow. Energy will not flow spontaneously from a low temperature object to a higher temperature object. “second form” or Clausius Statement
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Second Law of Thermodynamics: Refrigerators
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2 vs 7
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Second Law of Thermodynamics: Entropy
In any cyclic process the entropy will either increase or remain the same. Entropy is a measure of the amount of energy which is unavailable to do work. Entropy is a measure of the multiplicity of a system. Entropy is a measure of the disorder of a system.
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Thermodynamics Processes
Adiabatic: no heat transfer into or out of the system- Q=0 ΔU= Q + W= W Isochoric: constant volume; it does no work- W=0 ΔU= Q + W= Q
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Thermodynamics Processes
Isobaric: constant pressure W= p(V2-V1) Isothermal: constant temperature- ΔU=0 Q=W
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