Exam 12: Thermal Properties of Matter

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The amount of heat needed to raise the temperature of one gram of an ideal gas by 1.0 K at constant volume is the same for all monatomic gases.

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The amount of heat needed to raise the temperature of one mole of an ideal gas by 1.0 K at constant volume is the same for all monatomic gases.

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Dust particles are pulverized rock,which has density 2500kg/m3.They are approximately spheres with 10μm in diameter.Treating dust as an ideal gas,what is the rms speed of a dust particle at 400°C?

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52 g of methane (CH4)contain 3.25 moles of this gas.

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The figure shows a PV diagram for 8.3 g of nitrogen gas in a sealed container.The temperature of state 1 is 79°C.What are (a)pressure p1 and (b)temperature T2? The figure shows a PV diagram for 8.3 g of nitrogen gas in a sealed container.The temperature of state 1 is 79°C.What are (a)pressure p<sub>1</sub> and (b)temperature T<sub>2</sub>?

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A 24.0 kg sample of ice is at 0.00°C.How much heat is needed to melt it? (For water Lf = 334 kJ/kg and Lv = 2257 kJ/kg. )

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A cylinder fitted with a movable piston contains ideal gas at 27°C,pressure 0.50 x 105 Pa and volume 1.25 m3.What will be the final temperature if the gas is compressed to 0.80 m3 and the pressure rises to 0.82 × 105 Pa?

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The temperature is increased from 20°C to 180°C.By what factor does the rms speed of a molecule change?

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As you add heat to boiling water,its temperature gets higher and higher.

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The oxygen molecules and the nitrogen molecules at any one place in our atmosphere are at the same temperature.How do the root-mean-square speeds of the two molecules compare?

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A horizontal line on a PV diagram represents an isobaric process.

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A hot air balloon has a volume of 2000 m3 when fully inflated,and the air inside the balloon is always at atmospheric pressure because of the large opening used to fill the balloon and heat the air inside it.What's the mass of hot air inside the balloon if its temperature is 120°C? (Assume a molecular weight of 28.8 g/mole for air. )

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An ideal gas is in a closed container.If its pressure is 133 Pa initially,and its temperature is 20.0ºC,what is its pressure after its temperature is raised to 60.0ºC?

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A 2294 kg sample of water at 0°C is cooled to -36ºC,and freezes in the process.How much heat is liberated? (For water Lf = 334 kJ/kg and Lv = 2257 kJ/kg.The specific heat for ice is 2050 J/kg · K. )

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A constant-volume gas thermometer supports a 33 mm high column of mercury when its temperature is 216 K.What will the height of the column of mercury be when the temperature is 298 K? Answer to the nearest millimeter.

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If the root mean square speed of gas molecules is doubled,then both its pressure and its absolute temperature will also be doubled.

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A gas follows the pV trajectory shown in the figure.How much work is done per cycle by the gas if p0 = 5.4 atm? A gas follows the pV trajectory shown in the figure.How much work is done per cycle by the gas if p0 = 5.4 atm?

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A monatomic ideal gas (Cv = 3/2 R)undergoes an isothermal expansion at 300 K,as the volume increased from 0.05 m3 to 0.15 m3.The final pressure is 130 kPa.The heat transfer to the gas,in kJ,is closest to:

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If a piece of metal has a hole in it and the metal is heated,how does the area of the hole change?

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