Exam 12: Thermal Properties of Matter

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The absolute temperature of a gas is T. In order to double the rms speed of its molecules, what should be the new absolute temperature?

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A 400-g stainless steel tea kettle containing 500 g of water is on the stove. The portion of the tea kettle that is in contact with the heating element has an area of 0.090 m2 and is 2.0 mm thick. At a certain moment, the temperature of the water is 75°C, and it is rising at the rate of 3.0 C° per minute. What is the difference in temperature between the inside and the outside of the bottom of the tea kettle? Assume that the inner surface of the kettle is at the same temperature as the water inside. The thermal conductivity of stainless steel is 16.3 W/m ∙ K, the specific heat of the steel is 448 J/kg ∙ K, and the specific heat of water is 4186 J/kg . K.

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An ideal gas is compressed isothermally to one-third of its initial volume. The resulting pressure will be

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The coefficient of linear expansion of aluminum is 24 × 10-6 K-1 and the coefficient of volume expansion of olive oil is 0.68 × 10-3 K-1. A novice cook, in preparation of some pesto, fills a 1.00-L aluminum pot to the brim and heats the oil and the pot from an initial temperature of 15°C to 190°C. To his consternation some olive oil spills over the top. How much?

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What is the net power that a person with surface area of 1.20 m2 radiates if his emissivity is 0.895, his skin temperature is 27°C, and he is in a room that is at a temperature of 17°C? (σ = 5.67 × 10-8 W/m2 ∙ K4)

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A quantity of mercury occupies 400.0 cm3 at 0°C. What volume will it occupy when heated to 50°C? Mercury has a volume expansion coefficient of 180 × 10-6 K-1.

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Some properties of a certain glass are listed here: Density 2300 kg/m3 Specific heat capacity 840 J/kg ∙ C° Coefficient of thermal expansion 8.5 × 10-6 (C°)-1 Thermal conductivity 0.80 W/m ∙ C° A glass window pane is 2.7 m high, 2.4 m wide, and 9.0 mm thick. The temperature at the inner surface of the glass is 19C19 ^ { \circ } \mathrm { C } and at the outer surface 4°C. How much heat is lost each hour through the window?

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In an experiment to measure the thermal conductivity of a certain material, a slab of material 10.0 mm thick separates a steam chamber from a block of ice with a square cross-section with dimensions 8.00 cm × 8.00 cm. After 5.00 min of running the experiment, 64.0 g of ice have melted. What is the thermal conductivity of this material? The latent heat of fusion of water is 33.5 × 104 J/kg, the latent heat of vaporization of water is 2.256 × 106 J/kg, and both the ice and water are under 1.00 atm of pressure.

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A metal has a latent heat of fusion of 2.32 × 104 J/kg, a specific heat of 128 J/kg ∙ K, and a melting point of 228°C. A 30-g pellet of this metal at 16°C hits a solid wall and comes to a complete stop. What would the speed of the pellet have to be in order for it to melt completely when it hits the wall, assuming that all of its kinetic energy is transformed into heat within the pellet?

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A sealed container holds 0.020 moles of ideal nitrogen (N2) gas, at a pressure of 1.5 atm and a temperature of 290 K. The atomic mass of nitrogen is 14.0 g/mol. How many molecules of nitrogen are in the container? (R = 8.31 J/mol ∙ K, 1 atm = 101 kPa)

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The process in which heat flows by the mass movement of molecules from one place to another is known as

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A 4.0-kg aluminum block is originally at 10°C. If 160 kJ of heat is added to the block, what is its final temperature? The specific heat capacity of aluminum is 910 J/kg ∙ K.

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The temperature of an ideal gas in a sealed rigid 0.20- m3m ^ { 3 } container is reduced from 360 K to 270 K270 \mathrm {~K} \text {, } and the final pressure of the gas is 40kPA.40 \mathrm { kPA } . How much work is done by the gas during this process? (R = 8.31 J/mol ∙ K)

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Object 1 has three times the specific heat capacity and four times the mass of Object 2. The two objects are heated from the same initial temperature, T0, to the same final temperature Tf. During this process, if Object 1 absorbs heat Q, the amount of heat absorbed by Object 2 will be

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The process shown on the TV graph in the figure is an The process shown on the TV graph in the figure is an

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A 20.0-L pressure vessel holds 2.00 mol of oxygen at 30°C. What is the pressure inside the vessel? (R = 8.31 J/mol ∙ K)

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By what length will a slab of concrete that is originally 18 m long contract when the temperature drops from 24°C to -16°C? The coefficient of linear thermal expansion for this concrete is 1.0 × 10-5 K-1.

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In grinding a steel knife, the metal can get as hot as 400°C. If the blade has a mass of 80 g, what is the minimum amount of water needed at 20°C if the water is to remain liquid and not rise above 100°C when the hot blade is quenched in it? The specific heat of the steel is 0.11 cal/g ∙ C° and the specific heat of water is 1.0 cal/g ∙ C°.

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A thermally isolated system is made up of a hot piece of aluminum and a cold piece of copper, with the aluminum and the copper in thermal contact. The specific heat capacity of aluminum is more than double that of copper. Which object experiences the greater temperature change during the time the system takes to reach thermal equilibrium?

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A rod, with sides insulated to prevent heat loss, has one end immersed in boiling water at 100°C and the other end in a water-ice mixture at 0°C. The rod has uniform cross-sectional area 7.05 cm27.05 \mathrm {~cm} ^ { 2 } and length 87 cm.87 \mathrm {~cm} . The heat conducted by the rod melts the ice at a rate of 1.0 g every 11 seconds. What is the thermal conductivity of the rod? Recall that the heat of fusion of water is 3.34 × 105 J/kg.

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