Deck 14: Heat

Question 1

A 100 g glass container is at 10.0 $^{\circ}$ C.200 g of water at 90.0 $^{\circ}$ C is added to the glass container.What is the final temperature of the water and the glass,in $^{\circ}$ C? (specific heat of water = 1.00 cal/g $^{\circ}$ C,specific heat of glass = .200 cal/gm $^{\circ}$ C)

A) 82.7
B) 75.0
C) 68.2
D) 50.2
E) 46.9

Answer 1

82.7

Question 2

A 50.0 g glass container contains 200 g of water at 20.0 $^{\circ}$ C.A 20.0 g piece of an alloy at 100 $^{\circ}$ C is added to the water in the container.The final temperature of the mixture is 24 $^{\circ}$ C.What is the specific heat of the alloy in cal/gm $^{\circ}$ C? (specific heat of water = 1.00 cal/gm $^{\circ}$ C,specific heat of glass = 0.200 cal/gm $^{\circ}$ C)

A) 2.75
B) 1.87
C) 1.54
D) 0.852
E) 0.553

Answer 2

0.553

Question 3

What is the total internal energy of 2.00 moles of an ideal gas at -50 $^{\circ}$ C?

A) 4,040 J
B) 4,750 J
C) 5,020 J
D) 5,560 J
E) 6,030 J

Answer 3

5,560 J

Question 4

A 100 gram glass container contains 200 grams of water at 10 $^{\circ}$ C.A 200 gram piece of lead at 150 $^{\circ}$ C is added to the water in the container.What is the final temperature of the system? (specific heat of water = 4,186 J/kg $^{\circ}$ C,specific heat of glass = 837.2 J/km $^{\circ}$ C,specific heat of lead = 127.7 J/km $^{\circ}$ C)

A) 12 $^{\circ}$ C
B) 14 $^{\circ}$ C
C) 23 $^{\circ}$ C
D) 31 $^{\circ}$ C
E) 37 $^{\circ}$ C

Question 5

A 100 gram glass container contains 250 grams of water at 15.0 $^{\circ}$ C.A 200 gram piece of lead at 100 $^{\circ}$ C is added to the water in the container.What is the final temperature of the system? (specific heat of water = 4,186 J/kg $^{\circ}$ C,specific heat of glass = 837.2 J/km $^{\circ}$ C,specific heat of lead = 127.7 J/km $^{\circ}$ C)

A) 37 $^{\circ}$ C
B) 31 $^{\circ}$ C
C) 23 $^{\circ}$ C
D) 17 $^{\circ}$ C
E) 12 $^{\circ}$ C

Question 6

A 100 gram aluminum container is at 15.0 $^{\circ}$ C.150 grams of water at 80.0 $^{\circ}$ C is added to the aluminum container.What is the final temperature of the water and the aluminum? (specific heat of water = 1.00 cal/g $^{\circ}$ C,specific heat of aluminum = 0.215 cal/gm $^{\circ}$ C)

A) 58.3 $^{\circ}$ C
B) 63.6 $^{\circ}$ C
C) 68.5 $^{\circ}$ C
D) 73.1 $^{\circ}$ C
E) 83.3 $^{\circ}$ C

Question 7

If the temperature of 2.000 moles of an ideal gas is increased by 50 $^{\circ}$ C,then what is the increase in the total internal energy?

A) 1,247 J
B) 1,980 J
C) 2,250 J
D) 2,750 J
E) 3,030 J

Question 8

Water falls a distance of 50.0 meters.The specific heat of water is 1.00 cal/gm $^{\circ}$ C.What is the increase in temperature of the water after the fall,in $^{\circ}$ C?

A) 0.12
B) 1.03
C) 2.65
D) 5.33
E) 7.50

Question 9

200 Joules of heat flows into a 35 g sample.If the temperature increases by 10 $^{\circ}$ C,then what is the heat capacity of the sample,in J/ $^{\circ}$ C?

A) 8.0
B) 12
C) 16
D) 20
E) 32

Question 10

A 100 g glass container contains 250 g of water at 15.0 $^{\circ}$ C.A 100 g piece of unknown material at 100 $^{\circ}$ C is added to the water in the container.The final temperature of the mixture is 19.0 $^{\circ}$ C.What is the specific heat of the unknown material in J/kg $^{\circ}$ C? (specific heat of water = 4186 J/kg $^{\circ}$ C, specific heat of glass = 837.2 J/kg $^{\circ}$ C)

A) 245
B) 387
C) 412
D) 558
E) 674

Question 11

Which of the following is NOT included in the internal energy of a system?

A) the kinetic energy of the center of mass
B) the kinetic energy of the individual particles
C) the spring potential energy of the individual particles
D) the chemical energy of the individual particles
E) the nuclear energy of the individual particles

Question 12

What is the heat needed to heat 150 g of water from 10.0 $^{\circ}$ C to 100 $^{\circ}$ C? (specific heat of water = 4186 J/kg $^{\circ}$ C)

A) 37.2 kJ
B) 44.6 kJ
C) 56.5 kJ
D) 68.2 kJ
E) 75.1 kJ

Question 13

What is the total internal energy of 2.00 moles of an ideal gas at 100 K?

A) 3,670 J
B) 3,250 J
C) 2,750 J
D) 2,490 J
E) 1,950 J

Question 14

A 100 g glass container contains 250 g of water at 15.0 $^{\circ}$ C. A 20.0 g piece of lead at 100 $^{\circ}$ C is added to the water in the container. What is the final temperature of the system in $^{\circ}$ C? (specific heat of water = 1.00 cal/g $^{\circ}$ C,specific heat of glass = 0.200 cal/g $^{\circ}$ C,specific heat of lead = 0.0310 cal/gm $^{\circ}$ C)

A) 10.1
B) 15.2
C) 25.0
D) 31.4
E) 46.3

Question 15

200 Joules of heat flows into a 35.0 g sample.If the temperature increases by 10.0 $^{\circ}$ C,then what is the specific heat capacity of the sample,in J/kg $^{\circ}$ C?

A) 175
B) 254
C) 375
D) 422
E) 571

Question 16

To use 100 Calories of energy,how high would an 80.0 kg person have to climb?

A) 104 m
B) 298 m
C) 323 m
D) 486 m
E) 534 m

Question 17

What is the total internal energy of 1.00 mole of an ideal gas at 100 $^{\circ}$ C?

A) 5,230 J
B) 4,650 J
C) 4,040 J
D) 3,950 J
E) 3,750 J

Question 18

An exerciser lifts 10.00 N weights a vertical distance of 50.00 cm.How many times would the exerciser have to lift the weight to use 10.00 Calories of energy?

A) 7,503
B) 4,125
C) 5,170
D) 8,370
E) 9,670

Question 19

Water has a specific heat capacity of 4186 J/kg $^{\circ}$ C.A tank contains 500 kg of water at 10.0 $^{\circ}$ C.The water is heated up to a temperature of 90.0 $^{\circ}$ C.If electricity costs $0.100 per kilowatt-hour,then what is the cost of heating the water?

A) $8.75
B) $6.22
C) $4.65
D) $3.79
E) $3.10

Question 20

An exerciser of mass 90.0 kg walks up a flight of stairs that are 12.0 meter high.What is the energy of the exercise in Calories?

A) 8.55
B) 7.32
C) 4.66
D) 2.53
E) 1.85

Question 21

The specific of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,and the heat of vaporization of water at 100 $^{\circ}$ C is 2256 kJ/kg.What is the final equilibrium temperature when 10.0 grams of ice at -15.0 $^{\circ}$ C is mixed with 3.00 grams of steam at 100 $^{\circ}$ C?

A) 60.2 $^{\circ}$ C
B) 65.0 $^{\circ}$ C
C) 70.2 $^{\circ}$ C
D) 76.4 $^{\circ}$ C
E) 80.3 $^{\circ}$ C

Question 22

The heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg.What is the energy needed to melt 100 grams of ice at 0.00 $^{\circ}$ C?

A) 39.4 kJ
B) 12.7 kJ
C) 17.5 kJ
D) 25.5 kJ
E) 33.4 kJ

Question 23

A 2000 kg car is traveling at 20.0 m/s and then puts on the brakes and comes to a complete stop.The heat generated at the brakes due to stopping heats up the brakes.The mass of the brake system is 20.0 kg and it has a specific heat of 0.200 kcal/kg $^{\circ}$ C.What is the increase in the temperature of the brakes?

A) 75.3 $^{\circ}$ C
B) 53.1 $^{\circ}$ C
C) 23.9 $^{\circ}$ C
D) 18.9 $^{\circ}$ C
E) 12.4 $^{\circ}$ C

Question 24

A 2000 kg car is traveling at 40.0 m/s and then puts on the brakes and comes to a complete stop.The heat generated at the brakes due to stopping heats up the brakes.The mass of the brake system is 20.0 kg and it has a specific heat of 0.200 kcal/kg $^{\circ}$ C.What is the increase in the temperature of the brakes?

A) 66.6 $^{\circ}$ C
B) 75.4 $^{\circ}$ C
C) 87.5 $^{\circ}$ C
D) 95.6 $^{\circ}$ C
E) 117 $^{\circ}$ C

Question 25

The specific heat of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,and the heat of vaporization of water at 100 $^{\circ}$ C is 2,256 kJ/ kg.What is the final equilibrium temperature when 30.0 grams of ice at -15.0 $^{\circ}$ C is mixed with 8.00 grams of steam at 100 $^{\circ}$ C?

A) 65.6 $^{\circ}$ C
B) 60.2 $^{\circ}$ C
C) 56.2 $^{\circ}$ C
D) 50.1 $^{\circ}$ C
E) 45.2 $^{\circ}$ C

Question 26

A sample of helium has a volume of 2.00 liters,a temperature of 20.0 $^{\circ}$ C,and a pressure of 2.50 atmospheres.What is the energy needed to heat the sample of helium gas from 20.0 $^{\circ}$ C to 95.0 $^{\circ}$ C at constant volume?

A) 88.0 J
B) 137 J
C) 175 J
D) 207 J
E) 476 J

Question 27

The specific of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,and the heat of vaporization of water at 100 $^{\circ}$ C is 2,256 kJ/kg.What is the final equilibrium temperature when 10.0 grams of ice at -15 $^{\circ}$ C is mixed with 40.0 grams of water at 75 $^{\circ}$ C?

A) 59.5 $^{\circ}$ C
B) 57.2 $^{\circ}$ C
C) 53.6 $^{\circ}$ C
D) 48.9 $^{\circ}$ C
E) 42.6 $^{\circ}$ C

Question 28

The heat of fusion for lead at 327 $^{\circ}$ C is 22.9 kJ/kg and the specific heat of solid lead is 0.130 kJ/kg $^{\circ}$ C,the specific of liquid lead is 0.0900 kJ/kg $^{\circ}$ C,and the heat of vaporization of lead at 1,620 $^{\circ}$ C is 871 kJ/kg.What is the energy needed to vaporize 100 grams of lead starting at 0 $^{\circ}$ C?

A) 105 kJ
B) 189 kJ
C) 176 kJ
D) 156 kJ
E) 147 kJ

Question 29

The specific of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C, and the heat of vaporization of water at 100 $^{\circ}$ C is 2,256 kJ/kg.What is the final equilibrium temperature when 5.00 grams of ice at -15.0 $^{\circ}$ C is mixed with 40.0 grams of water at 75.0 $^{\circ}$ C?

A) 30.1 $^{\circ}$ C
B) 28.3 $^{\circ}$ C
C) 20.9 $^{\circ}$ C
D) 18.6 $^{\circ}$ C
E) 16.1 $^{\circ}$ C

Question 30

The specific heat of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,the heat of vaporization of water at 100 $^{\circ}$ C is 2,256 kJ/kg,and the specific heat of steam is 2.020 kJ/kg $^{\circ}$ C.What is the final equilibrium temperature when 40.0 grams of ice at 0 $^{\circ}$ C is mixed with 5.00 grams of steam at 120 $^{\circ}$ C?

A) 3.01 $^{\circ}$ C
B) 2.65 $^{\circ}$ C
C) 1.21 $^{\circ}$ C
D) 1.07 $^{\circ}$ C
E) 0.90 $^{\circ}$ C

Question 31

The molar specific heat of a diatomic ideal gas at constant volume is Cv = 5/2 R.What is the heat needed to heat 28.00 g of air from 20.00 $^{\circ}$ C to 85.00 $^{\circ}$ C?

A) 1,350 J
B) 2,890 J
C) 1,753 J
D) 1,540 J
E) 1,443 J

Question 32

A 2000 kg car is traveling at 20.0 m/s down a long mountain grade of 1.00%.The mountain road is 3.00 km long.The heat generated at the brakes due to friction heats up the brakes.The mass of the brake system is 20.0 kg and it has a specific heat of 0.200 kcal/kg $^{\circ}$ C.What is the increase in the temperature of the brakes?

A) 22.3 $^{\circ}$ C
B) 35.1 $^{\circ}$ C
C) 40.2 $^{\circ}$ C
D) 45.2 $^{\circ}$ C
E) 53.6 $^{\circ}$ C

Question 33

The heat of vaporization of water at 100.0 $^{\circ}$ C is 2,256 kJ/kg.What is the heat of vaporization of water in cal/gm?

A) 365.3
B) 418.6
C) 497.2
D) 538.9
E) 684.1

Question 34

What is the heat needed to heat 16.0 grams of helium gas at constant volume from 20.0 $^{\circ}$ C to 85.0 $^{\circ}$ C?

A) 4.23 kJ
B) 3.24 kJ
C) 2.02 kJ
D) 1.95 kJ
E) 0.650 kJ

Question 35

The heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,and the heat of vaporization of water at 100 $^{\circ}$ C is 2,256 kJ/kg.What is the energy needed to vaporize 100 grams of ice at starting at 0 $^{\circ}$ C?

A) 600 kJ
B) 500 kJ
C) 400 kJ
D) 300 kJ
E) 200 kJ

Question 36

The heat of fusion for gold at 1,063 $^{\circ}$ C is 66.6 kJ/kg and the specific heat of gold is 0.128 kJ/kg $^{\circ}$ C.What is the energy needed to melt 100 grams of gold starting at 0 $^{\circ}$ C?

A) 20.3 kJ
B) 17.8 kJ
C) 12.3 kJ
D) 9.50 kJ
E) 7.50 kJ

Question 37

The specific heat of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,and the heat of vaporization of water at 100 $^{\circ}$ C is 2256 kJ/kg.What is the final equilibrium temperature when 20.0 grams of ice at 15.0 $^{\circ}$ C is mixed with 5.00 grams of steam at 100 $^{\circ}$ C?

A) 44.1 $^{\circ}$ C
B) 48.9 $^{\circ}$ C
C) 52.7 $^{\circ}$ C
D) 58.0 $^{\circ}$ C
E) 65.2 $^{\circ}$ C

Question 38

The heat of fusion for lead at 327.0 $^{\circ}$ C is 22.9 kJ/kg and the specific heat of lead is 0.130 kJ/kg $^{\circ}$ C.What is the energy needed to melt 100 grams of lead starting at 0 $^{\circ}$ C?

A) 3.56 kJ
B) 4.23 kJ
C) 6.54 kJ
D) 7.02 kJ
E) 7.76 kJ

Question 39

The heat of fusion for silver at 960.8 $^{\circ}$ C is 88.3 kJ/kg and the specific heat of silver is 0.235 kJ/kg $^{\circ}$ C.What is the energy needed to melt 100 grams of silver starting at 0 $^{\circ}$ C?

A) 40.5 kJ
B) 31.4 kJ
C) 25.4 kJ
D) 19.5 kJ
E) 13.7 kJ

Question 40

A 2000 kg car is traveling at 15.0 m/s down a long mountain grade of 2.0%.The mountain road is 5.0 km long.The heat generated at the brakes due to friction heats up the brakes.The mass of the brake system is 20.0 kg and it has a specific heat of 0.200 kcal/kg $^{\circ}$ C.What is the increase in the temperature of the brakes?

A) 43 $^{\circ}$ C
B) 54 $^{\circ}$ C
C) 83 $^{\circ}$ C
D) 95 $^{\circ}$ C
E) 117 $^{\circ}$ C

Question 41

A brass plate with a thickness of 1.00 cm is placed over a copper plate with a thickness of 2.00 cm.The coefficient of thermal conductivity of brass is 100 W/m $^{\circ}$ C and of copper is 400 W/m $^{\circ}$ C.What is the effective coefficient of thermal conductivity for the brass-copper layer?

A) 150 W/m $^{\circ}$ C
B) 200 W/m $^{\circ}$ C
C) 250 W/m $^{\circ}$ C
D) 300 W/m $^{\circ}$ C
E) 350 W/m $^{\circ}$ C

Question 42

A 100 gram glass container contains 200 grams of water and 100 grams of ice all at 0 $^{\circ}$ C.A 200 gram piece of lead at 100 $^{\circ}$ C is added to the water and ice in the container.What is the final temperature of the system? (specific heat of ice = 2,000 J/kg $^{\circ}$ C ,specific heat of water = 4,186 J/kg $^{\circ}$ C,heat of fusion of water = 333.7 kJ/kg,specific heat of glass = 837.2 J/km $^{\circ}$ C,specific heat of lead = 127.7 J/km $^{\circ}$ C)

A) 1.85 $^{\circ}$ C
B) 2.04 $^{\circ}$ C
C) 2.86 $^{\circ}$ C
D) 3.43 $^{\circ}$ C
E) 4.01 $^{\circ}$ C

Question 43

A Styrofoam cooler has a surface area of 2,700 cm² and a wall thickness of 3.00 cm.Styrofoam has a coefficient of thermal conductivity of 0.010 W/m $^{\circ}$ C.A 2.00 kg block of ice is placed inside the cooler that has a temperature inside of 2 $^{\circ}$ C.When the temperature outside is 30.0 $^{\circ}$ C,the ice lasts for 8.00 hours.If the temperature outside becomes 20.0 $^{\circ}$ C,then how long will the ice last?

A) 20.3 hr
B) 18.5 hr
C) 12.4 hr
D) 10.1 hr
E) 8.5 hr

Question 44

A brass rod with a length of 10.0 cm is placed end to end with an aluminum rod with a length of 30.0 cm and this system is placed between a hot temperature of 100 $^{\circ}$ C and a cold temperature of 10.0 $^{\circ}$ C.The coefficient of thermal conductivities of the brass and the aluminum are 100 W/m C and 230 W/m $^{\circ}$ C respectively.The rods have the same cross sectional area of 20.0 cm².What is the heat flow from the hot temperature to the cold temperature?

A) 55.3 W
B) 65.3 W
C) 70.3 W
D) 78.1 W
E) 85.3 W

Question 45

A brass rod with a length of 30.0 cm is placed side by side with an aluminum rod with a length of 30.0 cm and this system is placed between a hot temperature of 100 $^{\circ}$ C and a cold temperature of 10.0 $^{\circ}$ C.The coefficient of thermal conductivities of the brass and the aluminum are 100 W/m $^{\circ}$ C and 230 W/m $^{\circ}$ C respectively.The brass rod has a cross sectional area of 20.0 cm² and the aluminum rod has a cross sectional area of 30.0 cm².What is the heat flow from the hot temperature to the cold temperature?

A) 542 W
B) 26.7 W
C) 54.2W
D) 267 W

Question 46

A metal rod is placed between two temperature sources so that heat can flow between them.One temperature is 90.0 $^{\circ}$ C and the other temperature is 25.0 $^{\circ}$ C.The length of the rod is 30.0 cm and the cross sectional area is 10.0 cm².If 15.0 watts of heat flows between the hot temperature and the cold temperature,then what is the coefficient of thermal conductivity for the metal?

A) 69.2 W/m $\bullet$$^{\circ}$ C
B) 58.2 W/m $\bullet$$^{\circ}$ C
C) 50.4 W/m $\bullet$$^{\circ}$ C
D) 46.3 W/m $\bullet$$^{\circ}$ C
E) 44.2 W/m $\bullet$$^{\circ}$ C

Question 47

A brass rod is placed between two temperature sources so that heat can flow between them.One temperature is 80 $^{\circ}$ C and the other temperature is 20 $^{\circ}$ C.The length of the rod is 50.0 cm and the cross sectional area is 15.0 cm².If the coefficient of thermal conduction for brass is 100 W/m $^{\circ}$ C,then what is the heat flow between the hot temperature and the cold temperature?

A) 7.5 W
B) 8.2 W
C) 9.4 W
D) 12 W
E) 18 W

Question 48

The specific heat of ice is 2.100 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,the heat of vaporization of water at 100.0 $^{\circ}$ C is 2,256 kJ/kg,and the specific heat of steam is 2.020 kJ/kg $^{\circ}$ C.What is the final equilibrium temperature when 20.00 grams of ice at -15.0 $^{\circ}$ C is mixed with 5.000 grams of steam at 120.0 $^{\circ}$ C?

A) 59.92 $^{\circ}$ C
B) 56.03 $^{\circ}$ C
C) 52.76 $^{\circ}$ C
D) 49.34 $^{\circ}$ C
E) 45.67 $^{\circ}$ C

Question 49

The specific heat of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,the heat of vaporization of water at 100 $^{\circ}$ C is 2,256 kJ/kg,and the specific heat of steam is 2.020 kJ/kg $^{\circ}$ C.What is the final equilibrium temperature when 40.0 grams of ice at 0 $^{\circ}$ C is mixed with 8.00 grams of steam at 120 $^{\circ}$ C?

A) 50.22 $^{\circ}$ C
B) 41.67 $^{\circ}$ C
C) 38.76 $^{\circ}$ C
D) 32.55 $^{\circ}$ C
E) 25.67 $^{\circ}$ C

Question 50

The specific heat of ice is 2.100 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,and the heat of vaporization of water at 100.0 $^{\circ}$ C is 2,256 kJ/kg.What is the final equilibrium temperature when 10.00 grams of ice at -15 $^{\circ}$ C is mixed with 3.000 grams of steam at 100 $^{\circ}$ C?

A) 87.21 $^{\circ}$ C
B) 85.32 $^{\circ}$ C
C) 82.56 $^{\circ}$ C
D) 80.12 $^{\circ}$ C
E) 78.45 $^{\circ}$ C

Question 51

A 100 gram glass container contains 200 grams of water and 50.0 grams of ice all at 0 $^{\circ}$ C.A 200 gram piece of lead at 100 $^{\circ}$ C is added to the water and ice in the container.What is the final temperature of the system? (specific heat of ice = 2,000 J/kg $^{\circ}$ C ,specific heat of water = 4,186 J/kg $^{\circ}$ C,heat of fusion of water = 333.7 kJ/kg,specific heat of glass = 837.2 J/km $^{\circ}$ C,specific heat of lead = 127.7 J/km $^{\circ}$ C)

A) 5.33 $^{\circ}$ C
B) 4.87 $^{\circ}$ C
C) 3.65 $^{\circ}$ C
D) 2.19 $^{\circ}$ C
E) 1.75 $^{\circ}$ C

Question 52

The specific heat of steam is 2,020 J/kg K in the mks system of units.What is the value of the specific heat of steam in cal/gm $^{\circ}$ C?

A) 1.000
B) 0.8765
C) 0.6812
D) 0.4826
E) 0.2563

Question 53

A student is sleeping under a small goose-down comforter that has coefficient of thermal conductivity of 0.025 W/m $^{\circ}$ C.The thickness of the down comforter is 5.0 cm and the area of the comforter is 2.0 m².If the temperature difference between inside of the comforter and the outside of the comforter 40 $^{\circ}$ C,then what is the rate of heat flow through the comforter?

A) 10 W
B) 20 W
C) 30 W
D) 40 W
E) 50 W

Question 54

A brass rod with a length of 20.0 cm is placed end to end with an aluminum rod with a length of 20.0 cm and this system is placed between a hot temperature of 100 $^{\circ}$ C and a cold temperature of 10.0 $^{\circ}$ C.The coefficient of thermal conductivities of the brass and the aluminum are 100 W/m C and 230 W/m $^{\circ}$ C respectively.The rods have the same cross sectional area of 25.0 cm².What is the heat flow from the hot temperature to the cold temperature?

A) 78.4 W
B) 70.2 W
C) 65.3 W
D) 61.5 W
E) 55.5 W

Question 55

The specific heat of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,the heat of vaporization of water at 100 $^{\circ}$ C is 2256kJ/kg,and the specific heat of steam is 2.020 kJ/kg $^{\circ}$ C.What is the final equilibrium temperature when 30.0 grams of ice at 0 $^{\circ}$ C is mixed with 4.00 grams of steam at 120 $^{\circ}$ C?

A) 3.02 $^{\circ}$ C
B) 5.97 $^{\circ}$ C
C) 8.77 $^{\circ}$ C
D) 10.2 $^{\circ}$ C
E) 18.4 $^{\circ}$ C

Question 56

The specific heat of ice is 2.100 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,and the heat of vaporization of water at 100 $^{\circ}$ C is 2,256 kJ/k.What is the final equilibrium temperature when 10.00 grams of ice at -15.00 $^{\circ}$ C is mixed with 2.00 grams of steam at 100.0 $^{\circ}$ C?

A) 27.54 $^{\circ}$ C
B) 33.79 $^{\circ}$ C
C) 40.12 $^{\circ}$ C
D) 45.71 $^{\circ}$ C
E) 53.53 $^{\circ}$ C

Question 57

A concrete wall is 15.0 cm thick and has an area of 10.0 m².A layer of wood that is 2.50 cm thick is placed over the wall to reduce the loss of heat by thermal conduction.The coefficient thermal conductivity of concrete is 1.70 W/m $^{\circ}$ C and the coefficient of thermal conductivity of wood is 0.0400 W/m $^{\circ}$ C.What is the effective coefficient of thermal conductivity of the wood on concrete system?

A) 0.245 W/m $^{\circ}$ C
B) 1.22 W/m $^{\circ}$ C
C) 1.65 W/m $^{\circ}$ C
D) 2.02 W/m $^{\circ}$ C
E) 2.34 W/m $^{\circ}$ C

Question 58

The inside temperature of a house is 65 $^{\circ}$ F.When the temperature outside the house is 35 $^{\circ}$ F,the furnace supplies 100 Joules per hour to keep the inside of the house warm.If the temperature outside the house goes to 50 $^{\circ}$ F,then what is the fuel consumption of the furnace?

A) 38 Joules per hour
B) 42 Joules per hour
C) 50 Joules per hour
D) 56 Joules per hour
E) 61 Joules per hour

Question 59

The specific heat of water is 1.000 cal/gm $^{\circ}$ C.What is the specific heat of water in the mks system of units?

A) 2,124 J/kg $^{\circ}$ C
B) 2,765 J/kg $^{\circ}$ C
C) 3,417 J/kg $^{\circ}$ C
D) 3,764 J/kg $^{\circ}$ C
E) 4,186 J/kg $^{\circ}$ C

Question 60

The specific heat of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,the heat of vaporization of water at 100 $^{\circ}$ C is 2,256 kJ/kg,and the specific heat of steam is 2.020 kJ/kg $^{\circ}$ C.What is the final equilibrium temperature when 10.0 grams of ice at -15.0 $^{\circ}$ C is mixed with 2.00 grams of steam at 120 $^{\circ}$ C?

A) 40.1 $^{\circ}$ C
B) 39.5 $^{\circ}$ C
C) 37.2 $^{\circ}$ C
D) 35.4 $^{\circ}$ C
E) 33.2 $^{\circ}$ C

Question 61

The solar energy coming to the earth by radiation is 1340 W/m² when the temperature of the Sun is 5800 K.If the temperature of the Sun increased by 10.00%,then what would be the amount of solar radiation coming to the earth?

A) 1492 W/m²
B) 1632 W/m²
C) 1828 W/m²
D) 1962 W/m²
E) 2004 W/m²

Question 62

What form of convection causes the offshore sea breeze in the evening?

A) natural convection of air falling over the cooling land
B) forced convection air or force convection of water
C) forced convection of water
D) natural convection of air rising over the warming land

Question 63

A tungsten light bulb is glowing with blackbody radiation whose maximum occurs at a wavelength of 700.0 nm.What is the temperature of the tungsten element?

A) 3750 K
B) 4140 K
C) 4250 K
D) 4790 K
E) 5030 K

Question 64

The solar energy coming to the earth by radiation is 1,340 W/m².If the sun has a radius of 7.000 $\times$ 10⁸m,is a perfect radiator and is located 1.500 $\times$ 10¹¹m from the earth,then what is the temperature of the sun?

A) 6430 K
B) 5760 K
C) 4230 K
D) 3670 K
E) 3210 K

Question 65

A wood burning stove in a cabin in the woods has a surface area of 0.100 m².If the stove radiates heat like a perfect blackbody radiator with a temperature of 150 $^{\circ}$ C,then what is the energy per second that the stoves radiates?

A) 432 W
B) 658 W
C) 287 W
D) 182 W
E) 212 W

Question 66

An outer surface of a wood burning stove in a cabin is at a temperature of 150 $^{\circ}$ C.What is the wavelength where the blackbody is a maximum?

A) 3.64 micrometer
B) 4.02 micrometer
C) 4.57 micrometer
D) 5.25 micrometer
E) 6.85 micrometer

Question 67

The heating element of an electric stove is glowing.The color of the hot stove element is red with a blackbody radiation with a maximum at a wavelength of 1.000 micron.What is the temperature of the stove element?

A) 2276 K
B) 2537 K
C) 2898 K
D) 3137 K
E) 3375 K

Question 68

Radiant energy from the Sun reaches the Earth at a rate of 1.70 $\times$ 10¹⁷ W.When 30.0% of the radiant energy is reflected and 70.0% absorbed,the average temperature of the Earth's atmosphere is 253 K or -20.0 $^{\circ}$ C.If the atmosphere reflected 20.0% and absorbed 80.0% of the solar radiant energy,then what is the average temperature of the Earth's atmosphere?

A) -10.1 $^{\circ}$ C
B) -11.4 $^{\circ}$ C
C) -12.3 $^{\circ}$ C
D) -14.5 $^{\circ}$ C
E) -17.4 $^{\circ}$ C

Question 69

A food calorie is a kilocalorie in SI units.What would be the speed of a 1000 kg car traveling such that its kinetic energy is equal to the energy contained in one 250-calorie jelly doughnut?

A) 46 m/s
B) 65 m/s
C) 32 m/s
D) 22 m/s

Question 70

A brass rod with a length of 20.0 cm is placed side by side with an aluminum rod with a length of 20.0 cm and this system is placed between a hot temperature of 150 $^{\circ}$ C and a cold temperature of -10.0 $^{\circ}$ C.The coefficient of thermal conductivities of the brass and the aluminum are 100 W/m $^{\circ}$ C and 230 W/m C respectively.The rods have the same cross sectional area of 20.0 cm².What is the heat flow from the hot temperature to the cold temperature?

A) 683 W
B) 528 W
C) 52.8 W
D) 68.3 W

Question 71

The solar energy coming to the earth by radiation is 1,340 W/m² when the temperature of the Sun is 5800 K.If the temperature of the Sun decreased by 10.0%,then what would be the amount of solar radiation coming to the earth?

A) 879 W/m²
B) 752 W/m²
C) 667 W/m²
D) 610 W/m²
E) 578 W/m²

Question 72

What type of heat transfer is used to carry heat from the house furnace to the living room of most houses?

A) natural convection of air falling over the cooling land
B) forced convection air or force convection of water
C) forced convection of water
D) natural convection of air rising over the warming land

Question 73

What form of convection causes the onshore sea breeze in the day?

A) natural convection of air falling over the cooling land
B) forced convection air or force convection of water
C) forced convection of water
D) natural convection of air rising over the warming land

Question 74

Radiant energy from the Sun reaches the Earth at a rate of 1.70 $\times$ 10¹⁷ W.When 30.0% of the radiant energy is reflected and 70.0% absorbed,the average temperature of the Earth's atmosphere is 253 K or -20.0 $^{\circ}$ C.If the atmosphere reflected 40.0% and absorbed 60.0% of the solar radiant energy,then what is the average temperature of the Earth's atmosphere?

A) -25.2 $^{\circ}$ C
B) -27.0 $^{\circ}$ C
C) -27.5 $^{\circ}$ C
D) -28.5 $^{\circ}$ C
E) -29.6 $^{\circ}$ C

Question 75

Radiant energy from the Sun reaches the Earth at a rate of 1.70 $\times$ 10¹⁷ W.When 30% of the radiant energy is reflected and 70% absorbed,the average temperature of the Earth's atmosphere is 253 K or -20 $^{\circ}$ C.If the atmosphere absorbed 100% of the solar radiant energy,then what is the average temperature of the Earth's atmosphere?

A) 2.5 $^{\circ}$ C
B) 2.8 $^{\circ}$ C
C) 3.0 $^{\circ}$ C
D) 3.6 $^{\circ}$ C
E) 4.6 $^{\circ}$ C

Question 76

If the temperature of the sun is 5800 K,then what is wavelength where the blackbody radiation is a maximum?

A) 402.0 nm
B) 465.0 nm
C) 500.0 nm
D) 575.0 nm
E) 625.0 nm

Question 77

A rigid cylinder (15 cm radius,15 cm height)contains nitrogen gas (N₂)at standard temperature and pressure.What is the total translational kinetic energy of the gas molecules in the cylinder?

A) 1.6 kJ
B) 0.51 kJ
C) 0.86 kJ
D) 2.7 kJ

Question 78

A runner is running a kilometer in 8.30 seconds in still,dry air at a temperature of 25.0 $^{\circ}$ C.Her skin has a temperature of 35.0 $^{\circ}$ C and an exposed area is 1.00 m².If the convective coefficient is 22.0 W/m² $^{\circ}$ C,then what is the rate of heat flow from her skin to the air?

A) 95.7 W
B) 102 W
C) 186 W
D) 220 W
E) 285 W

Question 79

A heating element inside a rigid plastic box in the form of a cube,0.15 m on a side,is used to heat its contents,a volume of nitrogen gas (N₂),which begins at standard temperature (0 $^{\circ}$ C)and pressure (1 atm).If the heat input to the box is 185 J,what is the final temperature of the gas?

A) 69 $^{\circ}$ C
B) 88 $^{\circ}$ C
C) 150 $^{\circ}$ C
D) 50 $^{\circ}$ C
E) 59 $^{\circ}$ C

Question 80

Which type of heat transfer is used in most automobile engines to carry excess heat away from the hot engine?

A) natural convection of air falling over the cooling land
B) forced convection air or force convection of water
C) forced convection of water
D) natural convection of air rising over the warming land