9/26/2016 P h ys i cs Acad em y www.physicsacademy.org Dr. Hazem Falah Sakeek Al-Azhar University - Gaza Unit 2: Heat and the first law of thermodynamics Lecture 4: Heat and Internal Energy Unit 2: Heat and the first law of thermodynamics Heat and Internal Energy Specific Heat and Calorimetry Latent Heat Work and Heat in Thermodynamic Processes The First Law of Thermodynamics Some Applications of the First Law of Thermodynamics Energy Transfer Mechanisms in Thermal Processes Dr. Hazem Falah Sakeek || www.physicsacademy.org || www.hazemsakeek.net 2 1 9/26/2016 3 Dr. Hazem Falah Sakeek || www.physicsacademy.org || www.hazemsakeek.net Thermodynamics – Historical Background Thermodynamics and mechanics were considered to be distinct branches of physics. Until about 1850 Experiments by James Joule and others showed a connection between them. A connection was found between the transfer of energy by heat in thermal processes and the transfer of energy by work in mechanical processes. The concept of energy was generalized to include internal energy. The principle of conservation of energy emerged as a universal law of nature. DR. HAZEM FALAH SAKEEK || WWW.PHYSICSACADEMY.ORG|| WWW.HAZEMSAKEEK.NET James Prescott Joule 1818 – 1889 British physicist 4 2 9/26/2016 Heat and Internal Energy Internal Energy Heat Internal Energy is all the energy of a system that is associated with its microscopic components —atoms and molecules— when viewed from a reference frame at rest with respect to the center of mass of the system. Heat is defined as the transfer of energy across the boundary of a system due to a temperature difference between the system and its surroundings. We also use the term heat to represent the amount of energy transferred (Q). DR. HAZEM FALAH SAKEEK || WWW.PHYSICSACADEMY.ORG || WWW.HAZEMSAKEEK.NET 5 Heat and Internal Energy Heat is not in the following common quotes. (1) Heat is not energy in a hot substance. (2) Heat is not radiation. (3) Heat is not warmth of an environment. Note: Heat, internal energy, and temperature are all different quantities. Be sure to use the correct definition of heat. You cannot talk about the “heat of a system,” you can refer to heat only when energy has been transferred as a result of a temperature difference. Dr. Hazem Falah Sakeek || www.physicsacademy.org || www.hazemsakeek.net 6 3 9/26/2016 Units of Heat Historically, the calorie was the unit used for heat. One calorie is the amount of energy transfer necessary to raise the temperature g of water from 14.5oC to of 1 15.5oC. The “Calorie” used for food is actually 1 kilocalorie. In the US Customary system, the unit is a BTU (British Thermal Unit). One BTU is the amount of energy transfer necessary to raise the temperature of 1 lb of water from 63oF to 64oF. (1 BTU = 1 055 joules). The standard unit for heat, work, and internal energy are measured in joules. Dr. Hazem Falah Sakeek || www.physicsacademy.org || www.hazemsakeek.net 7 Dr. Hazem Falah Sakeek || www.physicsacademy.org || www.hazemsakeek.net 8 4 9/26/2016 Mechanical Equivalent of Heat Joule established the equivalence between mechanical energy and internal energy. His experimental setup is shown at right. The decrease in potential energy associated of the system as the blocks fall equals the work done by the paddle wheel on the water. DR. HAZEM FALAH SAKEEK || WWW.PHYSICSACADEMY.ORG || WWW.HAZEMSAKEEK.NET 9 Mechanical Equivalent of Heat o o Joule found that it took approximately 4.18 J of mechanical energy to raise the water 1oC. Later, more precise, measurements determined the amount of mechanical energy needed to raise the temperature of water from 14.5oC to 15.5oC. 1 cal = 4.186 J o This is known as the mechanical equivalent of heat. o A more proper name would be the equivalence between mechanical energy and internal energy, but the historical name is well entrenched. Dr. Hazem Falah Sakeek || www.physicsacademy.org || www.hazemsakeek.net 10 5 9/26/2016 Example A student eats a dinner rated at 2000 (food) Calories. He whishes to do an equivalent amount of work in the gymnasium by lifting 50Kg mass. How many times must he raise the weight to expend this much energy? Assume that he raises the weight a distance of 2m each time and no work is done when the weight is dropped to the floor. Solution 1 (food) Calories = 1000 cal then the work required is 2000x1000 cal = 2x106 cal. Converting this to joule, then the work required is W = 2x106cal x 4.186J/cal = 8.37x106J Dr. Hazem Falah Sakeek || www.physicsacademy.org || www.hazemsakeek.net 11 والشغل الكلي لرفع األثقال عدة مراتmgh يساويh الشغل المبذول لرفع االثقال لمسافة : وعليه فإن عدد مرات رفع االثقال هوnmgh يعطي بالعالقة W = nmgh = 8.37x106J Since m = 50 Kg, and h = 2m n = 8.54x103 times مرة لحرق السعرات الحرارية المطلوبة ولو كان8500 اي انه يلزم الطالب رفع الثقل ما يقارب !! ساعة إلنجاز المهمة12 ثواني فهذا يعني انه يلزمه5 يؤدي كل رفعة في زمن مقداره Dr. Hazem Falah Sakeek || www.physicsacademy.org || www.hazemsakeek.net 12 6 9/26/2016 Problem to solve by yourself 1. A 55.0-kg woman cheats on her diet and eats a 540 Calorie (540 kcal) jelly doughnut for breakfast. (a) How many joules of energy are the equivalent of one jelly doughnut? (b) How many steps must the woman climb on a very tall stairway to change the gravitational potential energy of the woman–Earth system by a value equivalent to the food energy in one jelly doughnut? Assume the height of a single stair is 15.0 cm. (c) If the human body is only 25.0% efficient in converting chemical potential energy to mechanical energy, how many steps must the woman climb to work off her breakfast? Dr. Hazem Falah Sakeek || www.physicsacademy.org || www.hazemsakeek.net 13 (٥) إلى اللقاء مع المحاضرة Specific Heat and Calorimetry Dr. Hazem Falah Sakeek || www.physicsacademy.org || www.hazemsakeek.net 14 7
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