Chapter 13 Full Test Bank Temperature And The Ideal Gas

Physics, 9e (Giambattista)

Chapter 13 Temperature and the Ideal Gas

1) If the temperature changes by 15°C, then what is the change in temperature in Fahrenheit?

A) 27°F

B) 30°F

C) 32°F

D) 40°F

E) 47°F

2) At what temperature are the Celsius temperature and the Fahrenheit temperature are same?

A) 30°C

B) 35°C

C) −40°C

D) 45°C

E) −30°C

3) If the temperature changes by 36°F, then what is the change in temperature in Celsius?

A) 40°C

B) 32°C

C) 26°C

D) 20°C

E) 15°C

4) If the temperature of a room is 60°F, then what is the temperature of the room in Celsius?

A) 26.2°C

B) 24.0°C

C) 21.4°C

D) 19.7°C

E) 15.6°C

5) If the temperature of a room is 62°F, then what is the temperature of the room in Kelvin?

A) 289.8 K

B) 291.7 K

C) 300.0 K

D) 307.8 K

E) 312.0 K

6) The temperature of a room is 300 K. What is the temperature in Fahrenheit?

A) 70.1°F

B) 74.2°F

C) 78.5°F

D) 80.3°F

E) 85.2°F

7) A brass rod is 25.0 cm long at a temperature of 20.0°C. The coefficient of linear expansion of brass is 19.0 × 10−6/°C. If the temperature changes to 25°C, then the increase in length of the brass rod is

A) 1.65 × 10−5 m.

B) 2.38 × 10−5 m.

C) 3.03 × 10−5 m.

D) 3.72 × 10−5 m.

E) 4.01 × 10−5 m.

8) An aluminum rod is 20.0 cm in length, has a diameter of 10.0 mm and is at a temperature of 20°C. The coefficient of linear expansion of aluminum is 23.0 × 10−6/°C. If the temperature changes to 50°C, then the increase in diameter of the aluminum rod is

A) 4.0 × 10−3 mm.

B) 4.9 × 10−3 mm.

C) 5.6 × 10−3 mm.

D) 6.0 × 10−3 mm.

E) 6.9 × 10−3 mm.

9) A 3.00 cm × 5.00 cm rectangular piece of copper is at a temperature of 10.0°C. The coefficient of linear expansion of copper is 17.0 × 10-6/°C. If the temperature of the copper rectangle increases by 2.00°C, then what is its change in area?

A) 2.44 × 10−3 cm2

B) 1.95 × 10−3 cm2

C) 1.02 × 10−3 cm2

D) 0.830 × 10−3 cm2

E) 0.550 × 10−3 cm2

10) A 40.0 liter gas tank is filled to the brim with gasoline when the temperature is 5.00°C. Gasoline has a coefficient of volume expansion of 950 × 10−6/°C. If the gas tank is moved into the sun of a hot summer day, the temperature of the gas tank is increased to 60.0°C. What is the volume of gasoline that overflows the tank (ignore the expansion of the gas tank)?

A) 3.95 liters

B) 3.11 liters

C) 2.67 liters

D) 2.09 liters

E) 1.55 liters

11) A 100 liter water tank is filled to the brim with water when the temperature is 5.00°C. Water has a coefficient of volume expansion of 207 × 10−6/°C. If the temperature of the water tank is increased to 60.0°C, what is the volume of water that overflows the tank (ignore the expansion of the tank)?

A) 1.14 liters

B) 1.40 liters

C) 1.75 liters

D) 2.01 liters

E) 2.44 liters

12) A 10.0 liter water bottle is filled to the brim with water when the temperature is 5.00°C. The bottle is sealed after it is completely filled with water. Water has a coefficient of volume expansion of 207 × 10−6/°C and a bulk modulus of 2.20 × 109 N/m2. If the temperature of the water tank is increased to 30.0°C, what is the increase in pressure of the water (ignore the expansion of the bottle)?

A) 1.01 × 107 N/m2

B) 1.14 × 107 N/m2

C) 1.75 × 107 N/m2

D) 2.01 × 107 N/m2

E) 2.73 × 107 N/m2

13) The temperature of a copper cube is increased by 35.0°C. The linear coefficient of thermal expansion is 17.0 × 10−6/°C. The fractional change in volume is

A) 3.00 × 10−3.

B) 2.67 × 10−3.

C) 2.33 × 10−3.

D) 2.00 × 10−3.

E) 1.79 × 10−3.

14) A copper plate has a hole with a diameter of 2.50 cm. A copper shaft with a diameter of 2.501 cm is to be inserted into the hole. If the linear coefficient of thermal expansion for copper is 17.0 × 10−6/°C, then what decrease in temperature of the copper shaft is required for the shaft to just fit inside the hole?

A) 23.5°C

B) 26.4°C

C) 30.1°C

D) 33.3°C

E) 39.5°C

15) A brass box is in the shape of a cube. The coefficient of linear thermal expansion is 19 × 10−6/°C. If the temperature of the box is increased by 20°C, then what is the fractional change in the volume of the box?

A) 0.08%

B) 0.11%

C) 0.15%

D) 0.25%

E) 0.30%

16) A brass plate measures 30.0 cm by 40.0 cm. The coefficient of linear thermal expansion is 19.0 × 10−6/°C. If the temperature of the plate is increased by 10.0 K, then what is the increase in the area of the plate?

A) 0.350 cm2

B) 0.404 cm2

C) 0.456 cm2

D) 0.502 cm2

E) 0.555%

17) One mole of carbon-12 has a mass of 12.00 grams. What is the mass of a 12C atom?

A) 1.244 × 10−26 kg

B) 1.993 × 10−26 kg

C) 2.032 × 10−26 kg

D) 2.440 × 10−26 kg

E) 3.000 × 10−26 kg

18) A sample of water has a mass of 10.0 grams. What is the number of molecules of water in the sample? (H = 1 u, O = 16 u, and 1 u = 1.66 × 10−27 kg.)

A) 1.99 × 1023

B) 2.00 × 1023

C) 2.56 × 1023

D) 3.35 × 1023

E) 4.25 × 1023

19) A sample of CO2 has a mass of 50.0 grams. What is number of molecules of carbon dioxide in the sample? (C = 12.0 u, O = 16.0 u, and 1 u = 1.66 × 10−27 kg.)

A) 4.02 × 1023

B) 4.95 × 1023

C) 5.66 × 1023

D) 6.02 × 1023

E) 6.85 × 1023

20) An ideal gas is at a pressure of 2.0 atmospheres and a temperature of 35°C. What is the molar density?

A) 84 mol/m3

B) 79 mol/m3

C) 70 mol/m3

D) 67 mol/m3

E) 60 mol/m3

21) An ideal gas composed of helium atoms is at a pressure of 2.00 atmospheres and a temperature of 35.0°C. What is the mass density? (He = 4.00 u)

A) 0.534 kg/m3

B) 0.488 kg/m3

C) 0.400 kg/m3

D) 0.316 kg/m3

E) 0.276 kg/m3

22) An ideal gas composed of a mixture of oxygen and nitrogen is at a pressure of 1.50 atmospheres and a temperature of 25.0°C. What is the molar density?

A) 79.3 mol/m3

B) 61.3 mol/m3

C) 55.5 mol/m3

D) 47.6 mol/m3

E) 40.0 mol/m3

23) If the average kinetic energy of a fixed volume of ideal gas increases, what must be true?

A) the density decreases

B) the pressure increases while the temperature stays the same

C) the temperature increases while the pressure stays the same

D) both the pressure and temperature increase

24) If the temperature and pressure of an ideal gas are tripled, what is the ratio of the new volume to the initial volume?

A) 1

B) 9

C) 3

D) 0.33

25) Under what conditions do real gasses approximate the behavior of an ideal gas?

A) high temperature and low pressure

B) low temperature and low pressure

C) low temperature and high pressure

D) high temperature and high pressure

26) One mole of an ideal gas has a volume of 0.0224 m3 and a pressure of 101.3 × 103 Pa. What is the absolute temperature of the gas?

A) 273 K

B) 325 K

C) 346 K

D) 352 K

E) 376 K

27) A sample of an ideal gas has a volume of 0.0100 m3, a pressure of 100 × 103 Pa, and a temperature of 300 K. What is the number of moles in the sample of gas?

A) 0.302

B) 0.330

C) 0.375

D) 0.401

E) 0.502

28) 0.500 moles of an ideal gas has a volume of 0.0100 m3 and a temperature of 300 K. What is the pressure of the sample of gas?

A) 125 kPa

B) 143 kPa

C) 157 kPa

D) 198 kPa

E) 217 kPa

29) A 0.250 mole sample of an ideal gas has a volume of 0.00200 m3, a pressure of 2.00 atmospheres. What is the temperature of the sample of gas?

A) 153 K

B) 166 K

C) 175 K

D) 185 K

E) 195 K

30) A sample of an ideal gas has a volume of 0.00100 m3, a pressure of 4.50 atmospheres and 2.00 × 1023 particles. What is the temperature of the gas?

A) 154 K

B) 165 K

C) 173 K

D) 186 K

E) 194 K

31) An ideal gas at a temperature of 39°C, a pressure of 2.00 atmospheres and a volume of 2.10 liters. What is the temperature if the pressure is halved and the volume is tripled?

A) 155°C

B) 175°C

C) 188°C

D) 195°C

E) 204°C

32) The absolute temperature of an ideal gas is directly proportional to the average of which of the following?

A) speed

B) momentum

C) kinetic energy

D) density

33) An ideal gas has a pressure of 2.5 atm, a volume of 1.0 L at a temperature of 30°C. How many molecules are there in the gas?

A) 6.1 × 1023

B) 6.1 × 1022

C) 2.4 × 1023

D) 2.3 × 1023

34) A sample of helium occupies 44.8 L at standard temperature and pressure (0°C and 1 atm). What is the mass of the sample? The atomic mass of helium is 4.00 u.

A) 2.00 g

B) 4.00 g

C) 8.00 g

D) 16.0 g

35) Oxygen molecules are 16 times more massive than hydrogen molecules. At a given temperature, the average molecular kinetic energy of oxygen, compared to hydrogen

A) is greater.

B) is less.

C) is the same.

D) more information is required to answer correctly

36) One mole of an ideal gas with a volume of 4.00 liters and a temperature of 0°C is mixed with one mole of an ideal gas with a volume of 2.00 liters and a temperature of 100°C. The volume of the mixture is 6 liters. What is the number density of the mixture?

A) 1.75 × 1026 m-3

B) 2.01 × 1026 m-3

C) 2.66 × 1026 m-3

D) 3.21 × 1026 m-3

E) 3.56 × 1026 m-3

37) Two moles of an ideal gas with a volume of 4.00 liters and a temperature of 0°C are mixed with one mole of an ideal gas with a volume of 3.00 liters and a temperature of 100°C. The volume of the mixture is 5.00 liters. What is the number density of the mixture?

A) 1.98 × 1026 m-3

B) 2.02 × 1026 m-3

C) 2.56 × 1026 m-3

D) 3.61 × 1026 m-3

E) 4.00 × 1026 m-3

38) A vessel contains 2.00 moles of an ideal gas at standard temperature and pressure (0°C and 1 atm). If the temperature of the gas is changed by 1°C, what is the change in the pressure?

A) 371 Pa

B) 323 Pa

C) 301 Pa

D) 298 Pa

E) 273 Pa

39) An ideal gas is at a temperature of 30°C and a pressure of 2.00 atmospheres. What is the number of particles per unit volume of the gas?

A) 6.23 × 1025 m-3

B) 6.02 × 1025 m-3

C) 5.98 × 1025 m-3

D) 5.15 × 1025 m-3

E) 4.85 × 1025 m-3

40) An ideal gas is at a temperature of 60°C and a pressure of 1.50 atmospheres. What is the volume per particle of the gas?

A) 2.75 × 10-26 m3

B) 3.02 × 10-26 m3

C) 3.98 × 10-26 m3

D) 4.25 × 10-26 m3

E) 5.00 × 10-26 m3

41) An ideal gas is at a temperature of 40°C and a pressure of 2.00 atmospheres. If the diameter of an N2 molecule is 0.300 nm, then what is the mean free path of the N2 molecule in the gas?

A) 6.02 × 10-8 m

B) 5.33 × 10-8 m

C) 5.00 × 10-8 m

D) 4.75 × 10-8 m

E) 4.01 × 10-8 m

42) A molecule in an ideal gas has an rms velocity 450 m/s. If the mean free path of the particle in the gas is 5.00 × 10-8 m, then what is the average time between collisions?

A) 1.11 × 10-10 sec

B) 1.98 × 10-10 sec

C) 2.03 × 10-10 sec

D) 2.56 × 10-10 sec

E) 3.03 × 10-10 sec

43) What is the average distance between air molecules at standard temperature and pressure (0°C and 1 atm)?

A) 3.34 nm

B) 2.07 nm

C) 0.00 nm

D) 2.03 nm

44) At what approximate temperature would the rms speed of H2 molecules equal the Earth's escape speed (11,200 m/s)?

A) 106 K

B) 102 K

C) 108 K

D) 104 K

45) A container holds oxygen and helium gases at the same temperature. Which one of the following statements is correct?

A) the oxygen molecules have the greater kinetic energy

B) the helium molecules have the greater kinetic energy

C) the oxygen molecules have the greater speed

D) the helium molecules have the greater speed

46) A vessel of volume 0.00100 m3 contains 2.00 moles of an ideal gas at a pressure of 1.50 atmospheres. What is the total kinetic energy of the gas in the vessel?

A) 175 J

B) 228 J

C) 267 J

D) 303 J

E) 367 J

47) What is the average kinetic energy per particle in 1.00 mole of an ideal gas at a pressure of 1.50 atmospheres and a volume of 2.00 liters?

A) 5.35 × 10-22 J

B) 6.02 × 10-22 J

C) 6.67 × 10-22 J

D) 7.57 × 10-22 J

E) 8.24 × 10-22 J

48) What is the average kinetic energy per particle in 1.00 mole of an ideal gas at a pressure of 1.50 atmospheres and a temperature of 20°C?

A) 4.75 × 10-21 J

B) 5.05 × 10-21 J

C) 6.07 × 10-21 J

D) 6.03 × 10-21 J

E) 6.67 × 10-21 J

49) What is the root mean squared velocity of the nitrogen molecules in one mole of an ideal gas at a pressure of 1.50 atmospheres and a temperature of 20°C? (N2 = 28 u)

A) 310 m/s

B) 367 m/s

C) 425 m/s

D) 511 m/s

E) 525 m/s

50) The total kinetic energy in one mole of an ideal gas is 4,000 J. What is the average kinetic energy of an individual particle in the ideal gas?

A) 6.64 × 10-21 J

B) 5.03 × 10-21 J

C) 4.86 × 10-21 J

D) 4.04 × 10-21 J

E) 3.78 × 10-21 J

51) A container of volume 2.00 liters contains 2.00 moles of an ideal gas at a pressure of 1.50 atmospheres. What is the average kinetic energy per particle in the gas?

A) 3.96 × 10-22 J

B) 3.78 × 10-22 J

C) 2.83 × 10-22 J

D) 2.52 × 10-22 J

E) 1.98 × 10-22 J

52) What is the root mean squared velocity of a helium atom in one mole of an ideal gas at a pressure of 2.00 atmospheres and a temperature of 30°C? (He = 4 u)

A) 782 m/s

B) 846 m/s

C) 902 m/s

D) 940 m/s

E) 1,374 m/s

53) The total kinetic energy in one mole of an ideal gas is 4,000 J. If the gas is nitrogen, what is the root mean square velocity of an individual particle in the ideal gas? (N2 = 28 u)

A) 678 m/s

B) 535 m/s

C) 486 m/s

D) 402 m/s

E) 376 m/s

54) If the root mean square velocity of the particles in a gas is 450 m/s, and a particle collides with another particle every 2.0 × 10-9 seconds on average, then the mean free path is

A) 6.0 × 10-7 m.

B) 7.5 × 10-7 m.

C) 9.0 × 10-7 m.

D) 85 × 10-7 m.

E) 6.9 × 10-7 m.

55) The mean free path of a molecule is 2.25 × 10-7 m in an ideal gas at standard temperature and pressure (0°C and 1 atm). What is the mean free path if the diameter of the molecule is doubled?

A) 0.23 × 10-7 m

B) 0.45 × 10-7 m

C) 0.56 × 10-7 m

D) 0.75 × 10-7 m

E) 1.13 × 10-7 m

56) The mean free path of a molecule is 2.25 × 10-7 m in an ideal gas at standard temperature and pressure (0°C and 1 atm). What is the mean free path if the diameter of the molecule and the temperature of the gas are both doubled?

A) 0.75 × 10-7 m

B) 1.13 × 10-7 m

C) 2.25 × 10-7 m

D) 3.00 × 10-7 m

E) 3.75 × 10-7 m

57) The mean free path of a molecule is 2.25 × 10-7 m in an ideal gas at standard temperature and pressure (0°C and 1 atm). What is the mean free path if the pressure of the gas is doubled but the temperature is constant?

A) 0.75 × 10-7 m

B) 1.13 × 10-7 m

C) 2.25 × 10-7 m

D) 3.38 × 10-7 m

E) 3.75 × 10-7 m

58) The mean free path of a molecule is 2.25 × 10-7 m in an ideal gas at standard temperature and pressure (0°C and 1 atm). What is the mean free path if the pressure of the gas is doubled and the temperature is tripled?

A) 0.75 × 10-7 m

B) 1.13 × 10-7 m

C) 2.25 × 10-7 m

D) 3.38 × 10-7 m

E) 3.75 × 10-7 m

59) What is the average kinetic energy of an oxygen molecule in a gas with a temperature of 300K?

A) 5.04 × 10−21 J

B) 5.75 × 10−21 J

C) 6.02 × 10−21 J

D) 6.21 × 10−21 J

E) 7.50 × 10−21 J

60) The rms velocity of an oxygen molecule in a gas is 390 m/s. If the absolute temperature is increased by 20%, then what is the rms velocity?

A) 427 m/s

B) 502 m/s

C) 567 m/s

D) 604 m/s

E) 635 m/s

61) The reaction rate of a chemical reaction doubles when the temperature increases from 10°C to 50°C. What is the activation energy?

A) 3.85 × 10−20 J

B) 3.33 × 10−20 J

C) 2.98 × 10−20 J

D) 2.19 × 10−20 J

E) 1.76 × 10−20 J

62) A certain chemical reaction has an activation energy of 0.500 × 10−19 J. What temperature is required for the reaction rate to be double what it is at 20°C?

A) 290 K

B) 310 K

C) 330 K

D) 350 K

E) 360 K

63) What is the activation energy of a chemical reaction if the reaction rate triples when the temperature goes from 10°C to 30°C?

A) 5.5 × 10−20 J

B) 6.0 × 10−20 J

C) 6.5 × 10−20 J

D) 7.0 × 10−20 J

E) 7.5 × 10−20 J

64) The rms velocity of a He molecule in helium gas with a temperature of 20°C is 1,352 m/s. What is the rms velocity of the molecule if the temperature of the gas is tripled?

A) 2,342 m/s

B) 3,640 m/s

C) 3,980 m/s

D) 4,056 m/s

E) 12,170 m/s

65) The diffusion constant for oxygen through water is 1.0 × 10−9 m2/s. What is the time for an oxygen molecule to diffuse 1 cm?

A) 2.0 × 104 sec

B) 3.0 × 104 sec

C) 4.0 × 104 sec

D) 5.0 × 104 sec

E) 6.0 × 104 sec

66) The diffusion constant for oxygen diffusing through tissue is 1.0 × 10−11 m2/s. In a certain sample oxygen diffuses through the tissue at a rate of 2.0 × 10−6 kg/s. If the thickness of the tissue is doubled, then what is the rate of oxygen flow through the tissue?

A) 1.5 × 10−6 kg/s

B) 1.2 × 10−6 kg/s

C) 1.0 × 10−6 kg/s

D) 0.6 × 10−6 kg/s

E) 0.4 × 10−6 kg/s

67) The diffusion constant for water in air is 2.4 × 10−5 m2/s. What is the distance a water molecule can travel by diffusion in 10 min?

A) 17 cm

B) 20 cm

C) 25 cm

D) 31 cm

E) 36 cm

68) The diffusion constant for water in air is 2.4 × 10−5 m2/s. How long would it take a water molecule to diffuse a distance of 10.0 meters?

A) 400 hours

B) 450 hours

C) 500 hours

D) 580 hours

E) 600 hours

69) A molecule takes 3.0 seconds to diffuse across a membrane. If the thickness of the membrane is doubled, then how long does it take the molecule to diffuse across the thicker membrane?

A) 30 s

B) 24 s

C) 20 s

D) 18 s

E) 12 s

70) What are the dimensions of the diffusion constant?

A) m/s3

B) m3/s2

C) m3/s

D) m2/s

E) m/s2

71) How does the density of copper at its melting point of 1,356 K compare to that of copper at room temperature, 293 K? Its linear expansion coefficient is 17.0 x 10−6 K−1.

A) 1.054 times as large

B) 1.018 times as large

C) 0.949 times as large

D) 0.982 times as large

E) 0.946 times as large

72) The density of copper at 293 K is 8,940 kg/m3 and its linear expansion coefficient is 17.0 x 10−6 K−1. Consider a hot cube of copper that is 1.0 cm on a side when its temperature is 1.356 K. What is the cube's mass? 

A) 8.80 g

B) 8.48 g

C) 8.78 g

D) 8.38 g

E) 8.94 g

73) 147.5 ml of ethyl alcohol (coefficient of volume expansion β = 1,120 x 10−6 K−1), at a temperature of 273.1 K, is poured into a 150.0 ml glass beaker (whose coefficient of volume expansion is negligible by comparison). To what temperature does the beaker have to be warmed for it to be completely full (i.e., for the volume of the alcohol to reach 150.0 ml)?

A) 288.0 K

B) 278.1 K

C) 283.1 K

D) 288.2 K

74) A 50.00 ml sample of mercury at room temperature (293.0 K) is cooled. What is the volume of the sample when the mercury reaches 273.0 K? The coefficient of volume expansion of mercury is 182.0 × 10−6 K−1.

A) 49.39 ml

B) 49.94 ml

C) 49.82 ml

D) 48.18 ml

E) 49.96 ml

75) A glass thermometer using a thin column of ethyl alcohol at room temperature (293.0 K) is cooled. When the temperature reaches 273.0 K the column of alcohol is 15.50 cm high. How tall was it when the temperature was 293.0 K? The coefficient of volume expansion of ethyl alcohol is 1,120 × 10−6 K−1.

A) 15.85 cm

B) 15.68 cm

C) Cannot answer without knowing the diameter of the column

D) 15.62 cm

76) What is the mass of exactly 1 million helium atoms? The atomic mass of helium is 4.00 u.

A) 6.6 × 10−18 kg

B) 6.0 × 10−17 kg

C) 6.6 × 10−21 kg

D) 6.0 × 10−20 kg

77) The mass of 6 million molecules of a diatomic gas is 5.1  × 10-19 kg. What is the atomic mass of the element in this gas?

A) 25.6 u

B) 51.2 u

C) 2.55 u

D) 5.10 u

78) The mass density of pure water is 1,000 kg/m3. If the molecular mass of water is 18.0 u, how many water molecules are in spherical water balloon of radius 1.0 cm?

A) 1.0 × 1023

B) 2.5 × 1024

C) 1.4 × 1023

D) 4.2 × 1023

79) The mass density of normal air at a certain temperature is 1.29 kg/m3. If the average molecular mass of air is 29.0 u, how many air molecules are in spherical balloon of radius 15.0 cm?

A) 1.1 × 1024

B) 2.5 × 1025

C) 9.8 × 1024

D) 3.8 × 1023

E) 3.3 × 1025

F) 8.5 × 1023

80) The mass density of normal air at room temperature (293 K) is 1.29 kg/m3, and the average molecular mass of air is 29.0 u. If the mean free path of an air molecule at room temperature is measured to be 111 nm, what is the average diameter of an air molecule? 

A) 0.31 nm

B) 0.26 nm

C) 0.28 nm

D) 0.49 nm

E) 0.56 nm

F) 0.23 nm

81) A nitrogen molecule has a diameter of about 0.29 nm. The mean free path of a nitrogen molecule in a tank of dry nitrogen at room temperature (293 K) and standard pressure (1 atm) is about 0.10 µm. A tank containing nitrogen at standard temperature (273 K) and pressure has volume V. If the tank is compressed by means of a piston to 20% of its original volume, what is the mean free path for a nitrogen molecule under the new conditions?

A) 0.020 µm

B) 0.125 µm

C) 0.080 µm

D) 0.112 µm

82) The diameter of a nitrogen molecule is about 0.29 nm. In a tank of nitrogen at a pressure of 2.5 atm and temperature 273 K, what is the mean free path of a nitrogen molecule?

A) 40 nm

B) 56 nm

C) 177 nm

D) 125 nm

83) The mean free path for a nitrogen molecule in a tank of dry nitrogen at 273 K is 0.15 µm.  If the diameter of a nitrogen molecule is 0.29 nm, what is the pressure in the tank?

A) 95.1 kPa

B) 48.0 kPa

C) 211 kPa

D) 299 kPa

E) 67.2 kPa

84) A particular chemical reaction occurs at room temperature (293 K) at half the rate that it does at 300 K. What is the activation energy for this reaction?

A) 1.20 × 10−19 J

B) 1.69 × 10−19 J

C) 1.17 × 10−19 J

D) 1.73 × 10−19 J

85) A particular chemical reaction that produces hydrogen gas as a byproduct has an activation energy of 19.2 × 10−20 J. If the reaction produces 0.15 × 10−3 mol H2/hr at room temperature (20°C), what is the rate of production of H2 at 52°C?

A) 0.16 × 10−2 mol/hr

B) 0.24 × 10−3 mol/hr

C) 0.14 × 10−3 mol/hr

D) 0.14 × 10−5 mol/hr

86) A sample of an ideal gas is in a fixed volume container at pressure P—by heating the gas, the average speed of molecules in the gas triples. What is the new pressure of the gas?

A) 3P

B) P/9

C) depends on the number density of the gas

D) P/3

E) 9P

87) Compare two 1.0 L gas samples—one of hydrogen (molecular mass 2.0 u) and one of oxygen (molecular mass 32.0 u). Each sample contains the same number of molecules and is at the same pressure. What is the ratio of temperatures of the oxygen sample to the hydrogen sample?

A) 1/16

B) 1/4

C) 16

D) 4

E) 1