Deck 13: Temperature and the Ideal Gas

Question 1

A brass box is in the shape of a cube.The coefficient of linear thermal expansion is 19 $\times$ 10^-6/ $^{\circ}$ C.If the temperature of the box is increased by 20 $^{\circ}$ 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%

Answer 1

0.11%

Question 2

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 $\times$ 10^-6/ $^{\circ}$ C,then what is the decrease in temperature the copper shaft has to be subjected to in order to allow the shaft to just fit inside the hole?

A) 23.5 $^{\circ}$ C
B) 26.4 $^{\circ}$ C
C) 30.1 $^{\circ}$ C
D) 33.3 $^{\circ}$ C
E) 39.5 $^{\circ}$ C

Answer 2

23.5 $^{\circ}$ C

Question 3

If the temperature of a room is 60 $^{\circ}$ F,then what is the temperature of the room in Celsius?

A) 26.2 $^{\circ}$ C
B) 24.0 $^{\circ}$ C
C) 21.4 $^{\circ}$ C
D) 19.7 $^{\circ}$ C
E) 15.6 $^{\circ}$ C

Answer 3

15.6 $^{\circ}$ C

Question 4

An aluminum rod is 20.0 cm in length,has a diameter of 10.0 mm and is at a temperature of 20 $^{\circ}$ C.The coefficient of linear expansion of aluminum is 23.0 $\times$ 10^-6/ $^{\circ}$ C.If the temperature changes to 50 $^{\circ}$ C,then the increase in diameter of the aluminum rod is

A) 4.0 $\times$ 10^-3 mm.
B) 4.9 $\times$ 10^-3 mm.
C) 5.6 $\times$ 10^-3 mm.
D) 6.0 $\times$ 10^-3 mm.
E) 6.9 $\times$ 10^-3 mm.

Question 5

The temperature of a copper cube is increased by 35.0 $^{\circ}$ C.The linear coefficient of thermal expansion is 17.0 $\times$ 10^-6/ $^{\circ}$ C.The fractional change in volume is

A) 3.00 $\times$ 10^-3.
B) 2.67 $\times$ 10^-3.
C) 2.33 $\times$ 10^-3.
D) 2.00 $\times$ 10^-3.
E) 1.79 $\times$ 10^-3.

Question 6

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

A) 70.1 $^{\circ}$ F
B) 74.2 $^{\circ}$ F
C) 78.5 $^{\circ}$ F
D) 80.3 $^{\circ}$ F
E) 85.2 $^{\circ}$ F

Question 7

A 3.00 cm $\times$ 5.00 cm rectangular piece of copper is at a temperature of 10.0 $^{\circ}$ C.The coefficient of linear expansion of copper is 17.0 $\times$ 10^-6/ $^{\circ}$ C.If the temperature of the copper rectangle increases its temperature by 2.00 $^{\circ}$ C,then what is the change in the area of the rectangular piece of copper?

A) 2.44 $\times$ 10^-3 cm²
B) 1.95 $\times$ 10^-3 cm²
C) 1.02 $\times$ 10^-3 cm²
D) 0.830 $\times$ 10^-3 cm²
E) 0.550 $\times$ 10^-3 cm²

Question 8

A brass plate measures 30.0 cm by 40.0 cm.The coefficient of linear thermal expansion is 19.0 $\times$ 10^-6/ $^{\circ}$ 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%

Question 9

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

A) 1.01 $\times$ 10⁷ N/m²
B) 1.14 $\times$ 10⁷ N/m²
C) 1.75 $\times$ 10⁷ N/m²
D) 2.01 $\times$ 10⁷ N/m²
E) 2.73 $\times$ 10⁷ N/m²

Question 10

If the temperature changes by 36 $^{\circ}$ F,then what is the change in temperature in Celsius?

A) 40 $^{\circ}$ C
B) 32 $^{\circ}$ C
C) 26 $^{\circ}$ C
D) 20 $^{\circ}$ C
E) 15 $^{\circ}$ C

Question 11

A sample of water has a mass of 10.0 grams.What is the number of molecules of water in the 10.0 gram sample (H = 1u,O = 16u)?

A) 1.99 $\times$ 10²³
B) 2.00 $\times$ 10²³
C) 2.56 $\times$ 10²³
D) 3.34 $\times$ 10²³
E) 4.25 $\times$ 10²³

Question 12

A 100 liter water tank is filled to the brim with water when the temperature is 5.00 $^{\circ}$ C.Water has a coefficient of volume expansion of 207 $\times$ 10^-6/ $^{\circ}$ C.If the temperature of the water tank is increased to 60.0 $^{\circ}$ 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

Question 13

If the temperature of a room is 62 $^{\circ}$ 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

Question 14

An ideal gas is at a pressure of 2.00 atmospheres and a temperature of 35.0 $^{\circ}$ C.What is the molar density?

A) 84.3 moles/m³
B) 78.9 moles/m³
C) 70.2 moles/m³
D) 66.7 moles/m³
E) 60.4 moles/m³

Question 15

A brass rod is 25.0 cm long at a temperature of 20.0 $^{\circ}$ C.The coefficient of linear expansion of brass is 19.0 $\times$ 10^-6/ $^{\circ}$ C.If the temperature changes to 25 $^{\circ}$ C,then the increase in length of the brass rod is

A) 1.65 $\times$ 10^-5 m.
B) 2.37 $\times$ 10^-5 m.
C) 3.03 $\times$ 10^-5 m.
D) 3.72 $\times$ 10^-5 m.
E) 4.01 $\times$ 10^-5 m.

Question 16

A sample of CO₂ has a mass of 50.0 grams.What is number of molecules of carbon dioxide in the 50.0 gram sample? (C = 12.0u,O = 16.0u)

A) 4.02 $\times$ 10²³
B) 4.95 $\times$ 10²³
C) 5.66 $\times$ 10²³
D) 6.02 $\times$ 10²³
E) 6.85 $\times$ 10²³

Question 17

If the temperature changes by 15 $^{\circ}$ C,then what is the change in temperature in Fahrenheit?

A) 27 $^{\circ}$ F
B) 30 $^{\circ}$ F
C) 32 $^{\circ}$ F
D) 40 $^{\circ}$ F
E) 47 $^{\circ}$ F

Question 18

A 40.0 liter gas tank is filled to the brim with gasoline when the temperature is 5.00 $^{\circ}$ C.Gasoline has a coefficient of volume expansion of 950 $\times$ 10^-6/ $^{\circ}$ 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 $^{\circ}$ 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

Question 19

At what temperature is the Celsius temperature and the Fahrenheit temperature are same?

A) 30 $^{\circ}$ C
B) 35 $^{\circ}$ C
C) -40 $^{\circ}$ C
D) 45 $^{\circ}$ C
E) -30 $^{\circ}$ C

Question 20

One mole of Carbon 12 has a mass of 12.00 grams.What is the mass of a C₁₂ atom?

A) 1.244 $\times$ 10^-26 kg
B) 1.993 $\times$ 10^-26 kg
C) 2.032 $\times$ 10^-26 kg
D) 2.440 $\times$ 10^-26 kg
E) 3.000 $\times$ 10^-26 kg

Question 21

An ideal gas is at a temperature of 30 $^{\circ}$ C and a pressure of 2.00 atmospheres.What is the number of particles per unit volume of the gas?

A) 6.23 $\times$ 10²⁵ m^-3
B) 6.02 $\times$ 10²⁵ m^-3
C) 5.98 $\times$ 10²⁵ m^-3
D) 5.15 $\times$ 10²⁵ m^-3
E) 4.85 $\times$ 10²⁵ m^-3

Question 22

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

A) 154 K
B) 165 K
C) 173 K
D) 186 K
E) 194 K

Question 23

A sample of an ideal gas has a volume of 0.0100 m³,a pressure of 100 $\times$ 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

Question 24

One mole of an ideal gas with a volume of 4.00 liters and a temperature of 0 $^{\circ}$ C is mixed with one mole of an ideal gas with a volume of 2.00 liters and a temperature of 100 $^{\circ}$ C.The volume of the mixture is 6 liters.What is the N/V of the mixture?

A) 1.75 $\times$ 10²⁶ m^-3
B) 2.01 $\times$ 10²⁶ m^-3
C) 2.66 $\times$ 10²⁶ m^-3
D) 3.21 $\times$ 10²⁶ m^-3
E) 3.56 $\times$ 10²⁶ m^-3

Question 25

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 $^{\circ}$ C.What is the molar density?

A) 79.3 moles/m³
B) 61.3 moles/m³
C) 55.5 moles/m³
D) 47.6 moles/m³
E) 40.0 moles/m³

Question 26

An ideal gas composed of helium atoms is at a pressure of 2.00 atmospheres and a temperature of 35.0 $^{\circ}$ C.What is the mass density? (He = 4.00u)

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

Question 27

2.00 moles of an ideal gas with a volume of 4.00 liters and a temperature of 0 $^{\circ}$ C is mixed with 1.00 mole of an ideal gas with a volume of 3.00 liters and a temperature of 100 $^{\circ}$ C.The volume of the mixture is 5.00 liters.What is the N/V of the mixture?

A) 1.98 $\times$ 10²⁶ m^-3
B) 2.02 $\times$ 10²⁶ m^-3
C) 2.56 $\times$ 10²⁶ m^-3
D) 3.61 $\times$ 10²⁶ m^-3
E) 4.00 $\times$ 10²⁶ m^-3

Question 28

2.00 moles of an ideal gas at standard temperature and volume changes its temperature by 1 $^{\circ}$ C.What is the change in the pressure?

A) 371 Pa
B) 323 Pa
C) 301 Pa
D) 298 Pa
E) 273 Pa

Question 29

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

Question 30

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

Question 31

An ideal gas has a pressure of 2.5 atm,a volume of 1.0 L at a temperature of 30 $^{\circ}$ C.How many molecules are there in the gas?

A) 6.1 $\times$ 10²³
B) 6.0 $\times$ 10²³
C) 2.4 $\times$ 10²³
D) 2.3 $\times$ 10²³

Question 32

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

A) 1
B) 9
C) 3
D) 0.33

Question 33

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

Question 34

One mole of an ideal gas has a volume of 0.0224 m³ and a pressure of 101.3 $\times$ 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

Question 35

Oxygen molecules are 16 times more massive then 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 data is required to answer correctly

Question 36

If the average kinetic energy of a 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

Question 37

A sample of helium occupies 44.8 L at STP.What is the mass of the sample?

A) 2.00 g
B) 4.00 g
C) 8.00 g
D) 16.0 g

Question 38

An ideal gas at a temperature of 39 $^{\circ}$ C has 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 $^{\circ}$ C
B) 175 $^{\circ}$ C
C) 188 $^{\circ}$ C
D) 195 $^{\circ}$ C
E) 204 $^{\circ}$ C

Question 39

An ideal gas is at a temperature of 60 $^{\circ}$ C and a pressure of 1.50 atmospheres.What is the volume per particle of the gas?

A) 2.75 $\times$ 10^-26 m³
B) 3.02 $\times$ 10^-26 m³
C) 3.98 $\times$ 10^-26 m³
D) 4.25 $\times$ 10^-26 m³
E) 5.00 $\times$ 10^-26 m³

Question 40

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

A) speed
B) momentum
C) kinetic energy
D) mass

Question 41

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

A) 782 m/s
B) 846 m/s
C) 902 m/s
D) 940 m/s
E) 1374 m/s

Question 42

If the root mean square velocity of a particle in a gas is 450 m/s,and the particle collides with other particles every 2.0 $\times$ 10^-9 seconds on the average,then the mean free path is

A) 6.0 $\times$ 10^-7 m.
B) 7.5 $\times$ 10^-7 m.
C) 9.0 $\times$ 10^-7 m.
D) 85 $\times$ 10^-7 m.
E) 6.9 $\times$ 10^-7 m.

Question 43

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 $\times$ 10^-21 J
B) 5.03 $\times$ 10^-21 J
C) 4.86 $\times$ 10^-21 J
D) 4.04 $\times$ 10^-21 J
E) 3.78 $\times$ 10^-21 J

Question 44

The mean free path of a molecule is 2.25 $\times$ 10^-7 m in an ideal gas at standard temperature and pressure.What is the mean free path when the diameter of the molecule is doubled and the temperature of the gas is doubled?

A) 0.75 $\times$ 10^-7m
B) 1.13 $\times$ 10^-7m
C) 2.25 $\times$ 10^-7m
D) 3.00 $\times$ 10^-7m
E) 3.75 $\times$ 10^-7m

Question 45

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 $^{\circ}$ C?

A) 4.75 $\times$ 10^-21 J
B) 5.05 $\times$ 10^-21 J
C) 6.07 $\times$ 10^-21 J
D) 6.03 $\times$ 10^-21 J
E) 6.67 $\times$ 10^-21 J

Question 46

At what 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

Question 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 $\times$ 10^-22 J
B) 6.02 $\times$ 10^-22 J
C) 6.67 $\times$ 10^-22 J
D) 7.57 $\times$ 10^-22 J
E) 8.24 $\times$ 10^-22 J

Question 48

An ideal gas is at a temperature of 40 $^{\circ}$ 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 $\times$ 10^-8 m
B) 5.33 $\times$ 10^-8 m
C) 5.00 $\times$ 10^-8 m
D) 4.75 $\times$ 10^-8 m
E) 4.01 $\times$ 10^-8 m

Question 49

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 $\times$ 10^-8 m,then what is the average time between collisions?

A) 1.11 $\times$ 10^-10 sec
B) 1.98 $\times$ 10^-10 sec
C) 2.03 $\times$ 10^-10 sec
D) 2.56 $\times$ 10^-10 sec
E) 3.03 $\times$ 10^-10 sec

Question 50

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 = 28u)

A) 678 m/s
B) 545 m/s
C) 486 m/s
D) 402 m/s
E) 376 m/s

Question 51

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 $^{\circ}$ C? (N₂ = 28u)

A) 310 m/s
B) 367 m/s
C) 425 m/s
D) 511 m/s
E) 525 m/s

Question 52

What is the average distance between air molecules at STP?

A) 3.34 $\times$ 10^-17
B) 5.67 $\times$ 10^-17
C) 3.85 $\times$ 10^-17
D) 4.33 $\times$ 10^-17

Question 53

2.00 moles of an ideal gas is at a pressure of 1.50 atmospheres and a volume of 0.00100 m³.What is the total kinetic energy of the gas?

A) 175 J
B) 228 J
C) 267 J
D) 303 J
E) 367 J

Question 54

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

Question 55

The mean free path of a molecule is 2.25 $\times$ 10^-7 m in an ideal gas at standard temperature and pressure.What is the mean free path when the pressure of the gas is doubled and the temperature is constant?

A) 0.75 $\times$ 10^-7m
B) 1.13 $\times$ 10^-7m
C) 2.25 $\times$ 10^-7m
D) 3.38 $\times$ 10^-7m
E) 3.75 $\times$ 10^-7m

Question 56

2.00 moles of an ideal gas is at a pressure of 1.50 atmospheres and fills a volume of 2.00 liters.What is the average kinetic energy per particle in the gas?

A) 3.96 $\times$ 10^-22 J
B) 3.03 $\times$ 10^-22 J
C) 2.83 $\times$ 10^-22 J
D) 2.52 $\times$ 10^-22 J
E) 1.98 $\times$ 10^-22 J

Question 57

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

A) 5.04 $\times$ 10²¹ J
B) 5.75 $\times$ 10²¹ J
C) 6.02 $\times$ 10²¹ J
D) 6.21 $\times$ 10²¹ J
E) 7.50 $\times$ 10²¹ J

Question 58

The mean free path of a molecule is 2.25 $\times$ 10^-7 m in an ideal gas at standard temperature and pressure.What is the mean free path when the diameter of the molecule is doubled?

A) 0.23 $\times$ 10^-7m
B) 0.45 $\times$ 10^-7m
C) 0.56 $\times$ 10^-7m
D) 0 75 $\times$ 10^-7m
E) 1.13 $\times$ 10^-7m

Question 59

The mean free path of a molecule is 2.25 $\times$ 10^-7 m in an ideal gas at standard temperature and pressure.What is the mean free path when the pressure of the gas is doubled and the temperature is tripled?

A) 0.75 $\times$ 10^-7m
B) 1.13 $\times$ 10^-7m
C) 2.25 $\times$ 10^-7m
D) 3.38 $\times$ 10^-7m
E) 3.75 $\times$ 10^-7m

Question 60

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

Question 61

The reaction rate of a chemical reaction doubles when the temperature increases from 10 $^{\circ}$ C to 50 $^{\circ}$ C.What is the activation energy?

A) 3.85 $\times$ 10^-20 J
B) 3.33 $\times$ 10^-20 J
C) 2.98 $\times$ 10^-20 J
D) 2.19 $\times$ 10^-20 J
E) 1.76 $\times$ 10^-20 J

Question 62

The mass density of pure water is 1000 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 $\times$ 10²³
B) 2.5 $\times$ 10²⁴
C) 1.4 $\times$ 10²³
D) 4.2 $\times$ 10²³

Question 63

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 mercury is 1120 $\times$ 10^-6 K^-1.

A) 15.85 cm
B) 15.86 cm
C) Cannot answer without knowing the diameter of the column
D) 15.62 cm

Question 64

The diffusion constant for water in air is 2.4 $\times$ 10^-5 m²/s.What is the distance a water molecule can travel by diffusion in 10min?

A) 17 cm
B) 20 cm
C) 25 cm
D) 31 cm
E) 36 cm

Question 65

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

A) 6.6 $\times$ 10^-18 kg
B) 6.0 $\times$ 10^-17 kg
C) 6.6 $\times$ 10^-21 kg
D) 6.0 $\times$ 10^-20 kg

Question 66

What are the dimensions of the diffusion constant?

A) m/s³
B) m³/s²
C) m³/s
D) m²/s
E) m/s²

Question 67

The density of copper at 293 K is 8940 kg/m³ and its linear expansion coefficient is 17.0 $\times$ 10^-6 K^-1.Consider a hot cube of copper that is 1.0 cm on a side when its temperature is 1356 K.What is the cube's mass?

A) 8.80 g
B) 8.46 g
C) 8.78 g
D) 8.38 g
E) 8.94 g

Question 68

What is the activation energy of a chemical reaction if the reaction rate triples when the temperature goes from 10 $^{\circ}$ C to 30 $^{\circ}$ C?

A) 5.5 $\times$ 10^-20 J
B) 6.0 $\times$ 10^-20 J
C) 6.5 $\times$ 10^-20 J
D) 7.0 $\times$ 10^-20 J
E) 7.5 $\times$ 10^-20 J

Question 69

A certain membrane has a diffusion constant D = 1.00 $\times$ 10^-11 m²/s and a thickness of 1.00 $\times$ 10^-6 m.The area of the membrane is 5.00 m².If the difference in the concentration across the membrane is 2.44 atoms/m³,then the rate of particles diffusing through the membrane is

A) 1.05 $\times$ 10²¹ s^-1.
B) 1.22 $\times$ 10²¹ s^-1.
C) 2.03 $\times$ 10²¹ s^-1.
D) 2.83 $\times$ 10²¹ s^-1.
E) 3.27 $\times$ 10²¹ s^-1.

Question 70

How does the density of copper at its melting point of 1356 K compare to that of copper at room temperature,293 K? Its linear expansion coefficient is 17.0 $\times$ 10^-6 K^-1.

A) 1.054 times as large
B) 1.018 times as large
C) 0.946 times as large
D) 0.982 times as large
E) 0.947 times as large

Question 71

The mass of 6 million atoms of a diatomic gas is 5.1 $\times$ 10^-19 kg.What is the atomic mass of this gas?

A) 25.5 u
B) 51.0 u
C) 2.55 u
D) 5.10 u

Question 72

The diffusion constant for oxygen diffusing through tissue is 1.0 $\times$ 10^-11 m²/s.In a certain sample oxygen flows through the tissue at 2.0 $\times$ 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 $\times$ 10^-6 kg/s
B) 1.2 $\times$ 10^-6 kg/s
C) 1.0 $\times$ 10^-6 kg/s
D) 0.6 $\times$ 10^-6 kg/s
E) 0.4 $\times$ 10^-6 kg/s

Question 73

The diffusion constant for water in air is 2.4 $\times$ 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

Question 74

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 hours
B) 24 hours
C) 20 hours
D) 18 hours
E) 12 hours

Question 75

A certain chemical reaction has an activation energy of 0.500 $\times$ 10^-19 J.What temperature must the reaction be at for the reaction rate to be double the rate at 20 $^{\circ}$ C?

A) 290 K
B) 310 K
C) 330 K
D) 350 K
E) 360 K

Question 76

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 and standard pressure is about 0.10 $\mu$ m.A tank containing nitrogen at standard temperature 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) 0.089 $\mu$ m
B) 0.125 $\mu$ m
C) 0.080 $\mu$ m
D) 0.112 $\mu$ m

Question 77

The diffusion constant for oxygen through water is 1.0 $\times$ 10^-9 m²/s.What is the time for an oxygen molecule to diffuse 1 cm?

A) 2.0 $\times$ 10⁴ sec
B) 3.0 $\times$ 10⁴ sec
C) 4.0 $\times$ 10⁴ sec
D) 5.0 $\times$ 10⁴ sec
E) 6.0 $\times$ 10⁴ sec

Question 78

147.5 ml of ethyl alcohol (coefficient of volume expansion $\beta$ = 1120 $\times$ 10^-6 K^-1) at a temperature of 273.1 K is measured 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

Question 79

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 $\times$ 10^-6 K^-1.

A) 49.39 ml
B) 49.94 ml
C) 49.82 ml
D) 48.18 ml
E) 49.96 ml

Question 80

The rms velocity of a He molecule in helium gas with a temperature of 20 $^{\circ}$ C is 1,352 m/s.What is the rms velocity of the molecule if the temperature of the gas is tripled?

A) 2,340 m/s
B) 3,640 m/s
C) 3,980 m/s
D) 4,120 m/s
E) 4,500 m/s