Chapter 17 and Chapter 19 Heat and the First Law of Thermodynamics

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Chapter 17 and Chapter 19 Heat and the First Law of Thermodynamics HW 1: Chapter 17 Pb 3, Pb 13, Pb 18 and Chapter 19: Pb 2, Pb 11, and Pb 24, Due on Wednesday , January 18 Labs start on Tuesday 12/17/2016 Chapter opener. When it is cold, warm clothes act as insulators to reduce heat loss from the body to the environment by conduction and convection. Heat radiation from a campfire can warm you and your clothes. The fire can also transfer energy directly by heat convection and conduction to what you are cooking. Heat, like work, represents a transfer of energy. Heat is defined as a transfer of energy due to a difference of temperature. Work is a transfer of energy by mechanical means, not due to a temperature difference. The first law of thermodynamics links the two in a general statement of energy conservation: the heat Q added to a system minus the net work W done by the system equals the change in internal energy ΔEint of the system: ΔEint = Q – W. Internal energy Eint is the sum total of all the energy of the molecules of the system.

Syllabus Class Meetings: Section 001:MWF 9:30-10:45, SIMS 209 and Section 002 MWF 11:00-12:15, SIMS 209 Office Hours: Tuesday 11:00am-12:00pm, and Wednesday 1:00pm-3:00pm or by appointment. Cell phones, tablets, and computers are not allowed in class. Presence in the labs is required, a missed lab is a 0, unless you are able to make it up or have a solid excuse such as being in the hospital.

Homework problems are due on the dates indicated on the class calendar Homework problems are due on the dates indicated on the class calendar. Your work is due on time, with the exception of reasonable documented excuses. Late work will be docked 50% of face value and 100% after solutions have been posted. Grading Homework 10% Participation 5% Three in Class exams 10% each Final Exam 30 % Lab 25% The letter grade will be assigned as follows: 100% - 93% = A; 92.9% - 89% = A- ; 88.9% - 86% = B+; 85.9% - 80% = B; 79.9% - 76% = B- 75.9%-73% = C+ ; 72.9% - 67% = C ; 66.9% - 64% = C-; 63.9%- 60% = D; 59.9%- 0% = F

17-1 Temperature: Atomic Theory of Matter Atomic and molecular masses are measured in unified atomic mass units (u). This unit is defined so that the carbon-12 atom has a mass of exactly 12.0000 u. Expressed in kilograms: 1 u = 1.6605 x 10-27 kg. Brownian motion is the jittery motion of tiny pollen grains in water; these are the result of collisions with individual water molecules. Figure 17-1. Path of a tiny particle (pollen grain, for example) suspended in water. The straight lines connect observed positions of the particle at equal time intervals.

17-1 Atomic Theory of Matter On a microscopic scale, the arrangements of molecules in solids (a), liquids (b), and gases (c) are quite different. (a) (b) Figure 17-2. Atomic arrangements in (a) a crystalline solid, (b) a liquid, and (c) a gas. (c)

17-2 Temperature and Thermometers Temperature is a measure of how hot or cold something is. Most materials expand when heated: An Iron beam is longer when hot than when cold Concrete roads expand and contract slightly with temperature Figure 17-3. Expansion joint on a bridge. Expansion joint on a bridge

17-2 Temperature and Thermometers Thermometers are instruments designed to measure temperature. In order to do this, they take advantage of some property of matter that changes with temperature. Early thermometers: Built by Accademia del Cimento (1657-1667) in Florence, Italy Figure 17-4. Thermometers built by the Accademia del Cimento (1657–1667) in Florence, Italy, are among the earliest known. These sensitive and exquisite instruments contained alcohol, sometimes colored, like many thermometers today.

17-2 Temperature and Thermometers   Figure 17-7. Celsius and Fahrenheit scales compared.

17-2 Temperature and Thermometers Example 17-2: Taking your temperature. Normal body temperature is 98.6°F. What is this on the Celsius scale? Solution: Conversion gives 37.0 °C.

Problem 3 3. (I) (a) “Room temperature” is often taken to be 68°F. What is this on the Celsius scale? (b) The temperature of the filament in a lightbulb is about 1900°C. What is this on the Fahrenheit scale?

17-3 Thermal Equilibrium and The Zeroth Law of Thermodynamics Two objects placed in thermal contact will eventually come to the same temperature. When they do, we say they are in thermal equilibrium. The zeroth law of thermodynamics says that if two objects are each in equilibrium with a third object, they are also in thermal equilibrium with each other.

17-4 Thermal Expansion Linear expansion occurs when an object is heated. Figure 17-9. A thin rod of length l0 at temperature T0 is heated to a new uniform temperature T and acquires length l, where l = l0 + Δl. Here, α is the coefficient of linear expansion. T is the change in Temperature

17-4 Thermal Expansion

17-4 Thermal Expansion Example 17-3: Bridge expansion. The steel bed of a suspension bridge is 200 m long at 20°C. If the extremes of temperature to which it might be exposed are -30°C to +40°C, how much will it contract and expand? Solution: Substitution gives 4.8 cm expansion and 12 cm contraction.

Problem 10 10. (II) To what temperature would you have to heat a brass rod for it to be 1.0% longer than it is at 25°C?

17-4 Thermal Expansion Example 17-5: Ring on a rod. An iron ring is to fit snugly on a cylindrical iron rod. At 20°C, the diameter of the rod is 6.445 cm and the inside diameter of the ring is 6.420 cm. To slip over the rod, the ring must be slightly larger than the rod diameter by about 0.008 cm. To what temperature must the ring be brought if its hole is to be large enough so it will slip over the rod? Solution: The temperature needs to be raised by 430°C, to 450°C.

17-4 Thermal Expansion Conceptual Example 17-6: Opening a tight jar lid. When the lid of a glass jar is tight, holding the lid under hot water for a short time will often make it easier to open. Why? Solution: The lid will heat before the glass, and expand sooner. Also, metals generally expand more than glass for the same temperature difference.

17-4 Thermal Expansion Volume expansion is similar, except that it is relevant for liquids and gases as well as solids: Here, β is the coefficient of volume expansion. For uniform solids, β ≈ 3α.

17-4 Thermal Expansion Example 17-7: Gas tank in the Sun. The 70-liter (L) steel gas tank of a car is filled to the top with gasoline at 20°C. The car sits in the Sun and the tank reaches a temperature of 40°C (104°F). How much gasoline do you expect to overflow from the tank? Solution: Both the tank and the gasoline expand; the amount that spills is the difference. However, the gasoline expands by about 1.3 L, whereas the tank expands by about 0.05 L – the expansion of the tank makes little difference.

17-4 Thermal Expansion Water behaves differently from most other solids—its minimum volume occurs when its temperature is 4°C. As it cools further, it expands, as anyone who leaves a bottle in the freezer to cool and then forgets about it can testify. Figure 17-12: Behavior of water as a function of temperature near 4°C. (a) Volume of 1.00000 g of water, as a function of temperature. (b) Density vs. temperature. [Note the break in each axis.]