Deck 13: Temperature and the Ideal Gas

Question 1

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

Answer 1

1.14 liters

Question 2

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

Answer 2

2.09 liters

Question 3

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

Answer 3

80.3°F

Question 4

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

Question 5

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

Question 6

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

Question 7

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

Question 8

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.

Question 9

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

Question 10

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

Question 11

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.

Question 12

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

Question 13

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

Question 14

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

Question 15

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.

Question 16

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

Question 17

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

Question 18

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%

Question 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

Question 20

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%

Question 21

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

Question 22

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

Question 23

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

Question 24

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 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

Question 26

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

Question 27

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

Question 28

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

Question 29

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

Question 30

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

Question 31

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 32

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

Question 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

Question 34

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

Question 35

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

Question 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

Question 37

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

Question 38

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

Question 39

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

Question 40

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

Question 41

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

Question 42

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

Question 43

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

Question 44

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

Question 45

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 46

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

Question 47

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

Question 48

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

Question 49

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

Question 50

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.

Question 51

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

Question 52

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

Question 53

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

Question 54

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

Question 55

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

Question 56

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

Question 57

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 58

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

Question 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

Question 60

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

Question 61

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

Question 62

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

Question 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

Question 64

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

Question 65

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

Question 66

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

Question 67

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

Question 68

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

Question 69

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

Question 70

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

Question 71

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

Question 72

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

Question 73

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

Question 74

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

Question 75

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

Question 76

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

Question 77

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

Question 78

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

Question 79

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

Question 80

What are the dimensions of the diffusion constant?

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