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Suppose the ends of a 30-m long steel beam are rigidly clamped at 0°C to prevent expansion.The beam has a cross-sectional area of 30 cm2.What force against the clamps does the beam exert when it is heated to 40°C? (αSteel = 1.1 × 10−5/°C,Ysteel = 20 × 1010 N/m2).

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2.6 × 105 N

A bowling ball size probe from a spaceship and a pebble size object land on a large asteroid that is far from any star.After a long period of time has passed,it is highly probable that the pebble and the probe


A) have each had the same change in temperature.
B) have each had the same change in volume.
C) are in thermal equilibrium with one another.
D) are not in thermal equilibrium with one another.
E) are in thermal equilibrium with one another,but are not at the same temperature.

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A container with a one-liter capacity at 27° C is filled with helium to a pressure of 2.0 atm.(1 atm = 1.0 × 105 N/m2. ) How many moles of helium does it hold?


A) 0.041
B) 0.081
C) 0.45
D) 0.90
E) 1.0

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A scuba diver has his lungs filled to half capacity (3 liters) when 10 m below the surface.If the diver holds his breath while quietly rising to the surface,what will the volume of the lungs be (in liters) at the surface? Assume the temperature is the same at all depths.(The density of water is 1.0 × 103 kg/m3. )


A) 5.9
B) 4.5
C) 6.4
D) 3.9
E) 3.1

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One mole of an ideal gas is held at a constant pressure of 1 atm.Find the change in volume (in liters) if the temperature changes by 50°C.


A) 1
B) 2
C) 3
D) 4
E) 5

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At what Fahrenheit temperature are the Kelvin and Fahrenheit temperatures numerically equal?

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An auditorium has a volume of 6 × 103 m3.How many molecules of air are needed to fill the auditorium at one atmosphere and 0°C?


A) 1.6 × 1029
B) 1.6 × 1027
C) 1.6 × 1025
D) 1.6 × 1023
E) 1.6 × 1020

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The pressure of a substance is directly proportional to its volume when the temperature is held constant and inversely proportional to its temperature when the volume is held constant.Is this substance an ideal gas? Explain why your answer is correct.

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No.Since P = kV and P = k'/T f...

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48 grams of oxygen at room temperature consists of how many moles?


A) 3.0
B) 1.5
C) 0.75
D) more than 3.0
E) less than 0.75

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An auditorium has dimensions 10 m × 10 m × 60 m.How many moles of air fill this volume at one atmosphere and 0°C?


A) 2.7 × 102
B) 2.7 × 104
C) 2.7 × 103
D) 2.7 × 105
E) 2.7 × 106

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A pressure of 10.0 mm Hg is measured at the triple-point of water using a constant-volume gas thermometer.What will the pressure be (in mm Hg) at 50.0°C?


A) 68.3
B) 1.80
C) 31.8
D) 11.8
E) 8.50

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Helium condenses into the liquid phase at approximately 4 K.What temperature,in degrees Fahrenheit,does this correspond to?


A) −182
B) −269
C) −118
D) −452
E) −484

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Which of the following is not a possible thermometric property of a body?


A) The change in length of a solid.
B) The change in volume of a gas at constant pressure.
C) The change in pressure of a gas at constant volume.
D) The change in weight at constant pressure and volume.
E) The change in electrical resistance of a conductor.

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D

Death Valley in California receives many German tourists.When you convert a summer temperature reading of 130° F to the Celsius scale they use at home,you find that the Celsius temperature is about


A) 26° C.
B) 54° C.
C) 72° C.
D) 176° C
E) 327° C.

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Determine the change in length of a 20-m railroad track made of steel if the temperature is changed from −15°C to +35°C.(αSTEEL = 1.1 × 10−5/°C)

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In order to understand the concept of temperature it is necessary to understand


A) the zeroth law of thermodynamics.
B) the first law of thermodynamics.
C) the second law of thermodynamics.
D) all of the above.
E) only (b) and (c) above.

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In order for two objects to have the same temperature,they must


A) be in thermal equilibrium.
B) be in thermal contact with each other.
C) have the same relative "hotness" or "coldness" when touched.
D) have all of the properties listed above.
E) have only properties (b) and (c) above.

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Equal volumes of hydrogen and helium gas are at the same pressure.The atomic mass of helium is four times that of hydrogen.If the total mass of both gases is the same,the ratio of the temperature of helium (He) to that of hydrogen (H2) is


A) Equal volumes of hydrogen and helium gas are at the same pressure.The atomic mass of helium is four times that of hydrogen.If the total mass of both gases is the same,the ratio of the temperature of helium (He) to that of hydrogen (H<sub>2</sub>) is A)    . B)    . C) 1. D) 2. E) 4. .
B) Equal volumes of hydrogen and helium gas are at the same pressure.The atomic mass of helium is four times that of hydrogen.If the total mass of both gases is the same,the ratio of the temperature of helium (He) to that of hydrogen (H<sub>2</sub>) is A)    . B)    . C) 1. D) 2. E) 4. .
C) 1.
D) 2.
E) 4.

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B

Two moles of an ideal gas are placed in a container of adjustable volume.When measurements are made


A) the pressure is inversely proportional to the volume at constant temperature.
B) the temperature is directly proportional to the volume at constant pressure.
C) the temperature is directly proportional to the pressure at constant volume.
D) all the statements above are found to be correct.
E) only statements (a) and (b) are found to be correct.

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A helium-filled balloon has a volume of 1 m3.As it rises in the earth's atmosphere,its volume expands.What will its new volume be (in m3) if its original temperature and pressure are 20°C and 1 atm,and its final temperature and pressure are −40°C and 0.1 atm?


A) 4
B) 6
C) 8
D) 10
E) 1.5

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