Question 1

A 4.0-kg aluminum block is originally at 10°C.If 160 kJ of heat is added to the block,what is its final temperature? The specific heat capacity of aluminum is 910 J/kg ∙ K.

Accepted Answer

A) 24°C 
B) 34°C 
C) 44°C 
D) 54°C

Question 2

A glass tea kettle containing 500 g of water is on the stove.The portion of the tea kettle that is in contact with the heating element has an area of 0.090 m2 and is 1.5 mm thick.At a certain moment,the temperature of the water is 75°C,and it is rising at the rate of 3°C per minute.What is the temperature of the outside surface of the bottom of the tea kettle? Neglect the heat capacity of the kettle,and assume that the inner surface of the kettle is at the same temperature as the water inside.The thermal conductivity of glass is 0.840 W/m ∙ K and the specific heat of water is 4186 J/kg ∙ K.

Accepted Answer

A) 39°C 
B) 92°C 
C) 120°C 
D) 86°C 
E) 77°C

Question 3

A 200-L electric water heater uses 2.0 kW.Assuming no heat loss,how many hours would it take to heat the water in this tank from 23°C to 75°C? The specific heat of water is 4186 J/kg ∙ K and its density is 1000 kg/m3.

Accepted Answer

A) 5.0.hours 
B) 6.0 hours 
C) 7.0 hours 
D) 8.0 hours

Question 4

What is the net power that a person with surface area of 1.20 m2 radiates if his emissivity is 0.895,his skin temperature is 27°C,and he is in a room that is at a temperature of 17°C? (σ = 5.67 × 10-8 W/m2 ∙ K4)

Accepted Answer

A) 60.3 W 
B) 62.6 W 
C) 65.7 W 
D) 68.4 W 
E) 64.8 W

Question 5

A quantity of mercury occupies 400.0 cm3 at 0°C.What volume will it occupy when heated to 50°C? Mercury has a volume expansion coefficient of 180 × 10-6 K-1.

Accepted Answer

A) 450 cm3 
B) 409.7 cm3 
C) 403.6 cm3 
D) 401.8 cm3

Question 6

The temperature in your classroom is closest to

Accepted Answer

A) 68 K. 
B) 68°C. 
C) 50°C. 
D) 295 K.

Question 7

The radius of a star is 6.95 × 108 m,and its rate of radiation has been measured to be 5.32 × 1026 W.Assuming that it is a perfect emitter,what is the temperature of the surface of this star? (σ = 5.67 × 10-8 W/m2 ∙ K4)

Accepted Answer

A) 6.27 × 103 K 
B) 8.25 × 103 K 
C) 8.87 × 103 K 
D) 3.93 × 107 K 
E) 5.78 × 107 K

Question 8

Two metal rods,one silver and the other copper,are both immersed at one end in a steam chamber at a temperature of 100°C.The other end of each one is in an ice water bath at 0°C.The rods are 5.0 cm long and have a square cross-section that is 2.0 cm on a side.No heat is exchanged between the rods and the surroundings,except at the ends.How much total heat flows through the two rods each minute? The thermal conductivity of silver is 417 W/m ∙ K,and that of copper is 395 W/m ∙ K.

Accepted Answer

A) 20 kJ 
B) 39 kJ 
C) 47 kJ 
D) 49 kJ 
E) 11 kJ

Question 9

The cylindrical filament in a light bulb has a diameter of 0.050 mm,an emissivity of 1.0,and a temperature of 3000°C.How long should the filament be in order to radiate 60 W of power? (σ = 5.67 × 10-8 W/m2 ∙ K4)

Accepted Answer

A) 11 cm 
B) 9.4 cm 
C) 8.6 cm 
D) 7.2 cm 
E) 5.9 cm

Question 10

The water flowing over Niagara Falls drops a distance of 50 m.If all the gravitational potential energy is converted to thermal energy,by what temperature does the water rise? The specific heat of water is 4186 J/kg ∙ K.

Accepted Answer

A) 0.10°C 
B) 0.12°C 
C) 0.37°C 
D) 0.42°C

Question 11

The coefficient of linear expansion of copper is 17 × 10-6 K-1.A block of copper 30 cm wide,45 cm long,and 10 cm thick is heated from 0°C to 100°C What is the change in the volume of the block?

Accepted Answer

A) 2.3 × 10-5 m3 
B) 4.6 × 10-5 m3 
C) 5.2 × 10-5 m3 
D) 6.9 × 10-5 m3 
E) 14 × 10-5 m3

Question 12

Object 1 has three times the specific heat capacity and four times the mass of Object 2.The two objects are heated from the same initial temperature,T0,to the same final temperature Tf.During this process,if Object 1 absorbs heat Q,the amount of heat absorbed by Object 2 will be

Accepted Answer

A) 12Q. 
B) 6Q. 
C)   Q. 
D)   Q. 
E)   Q.

Question 13

The coefficient of volume expansion of a certain olive oil is 0.68 × 10-3 K-1.A 1.0-L glass beaker is filled to the brim with olive oil at room temperature.The beaker is placed on a range and the temperature of the oil and beaker increases by 25°C.As a result,0.0167 L of olive oil spills over the top of the beaker.Which of the following values is closest to the coefficient of linear expansion of the glass from which the beaker is made?

Accepted Answer

A) 1 × 10-6 K-1 
B) 4 × 10-6 K-1 
C) 1 × 10-5 K-1 
D) 2 × 10-5 K-1 
E) 3 × 10-5 K-1

Question 14

A 5.00-g lead BB moving at 44.0 m/s penetrates a wood block and comes to rest inside the block.If half of its kinetic energy is absorbed by the BB,what is the change in the temperature of the BB? The specific heat of lead is 128 J/kg ∙ K.

Accepted Answer

A) 0.940 K 
B) 1.10 K 
C) 1.26 K 
D) 2.78 K 
E) 3.78 K

Question 15

A lab student drops a 400.0-g piece of metal at 120.0°C into a cup containing 450.0 g of water at 15.0°C.After waiting for a few minutes,the student measures that the final temperature of the system is 40.0°C.What is the specific heat of the metal,assuming that no significant heat is exchanged with the surroundings or the cup? The specific heat of water is 4186 J/kg ∙ K.

Accepted Answer

A) 1470 J/kg ∙ K 
B) 2830 J/kg ∙ K 
C) 3420 J/kg ∙ K 
D) 3780 J/kg ∙ K 
E) 4280 J/kg ∙ K

Question 16

Two metal spheres are made of the same material and have the same diameter,but one is solid and the other is hollow.If their temperature is increased by the same amount,

Accepted Answer

A) the solid sphere becomes bigger than the hollow one. 
B) the hollow sphere becomes bigger than the solid one. 
C) the two spheres remain of equal size. 
D) the solid sphere becomes denser and the hollow one less dense. 
E) the solid sphere becomes less dense and the hollow one denser.

Question 17

It is necessary to determine the specific heat of an unknown object.The mass of the object is 
It is determined experimentally that it takes 
To raise the temperature 
What is the specific heat of the object?

Accepted Answer

A) 7.46 J/kg ∙ K 
B) 1,500 J/kg ∙ K 
C) 0.00130 J/kg ∙ K 
D) 3,020,000 J/kg ∙ K

Question 18

An aluminum electric tea kettle with a mass of 500 g is heated with a 500-W heating coil.How long will it take to heat up 1.0 kg of water from 18°C to 98°C in the tea kettle? The specific heat of aluminum is 900 J/kg ∙ K and that of water is 4186 J/kg ∙ K.

Accepted Answer

A) 5.0 minutes 
B) 7.0 minutes 
C) 12 minutes 
D) 15 minutes 
E) 18 minutes

Question 19

A window glass that is 0.5 cm thick has dimensions of 3 m by 1.5 m.The thermal conductivity of this glass is 0.8 W/m ∙ K.If the outside surface of the glass is at -10°C and the inside surface is at 20°C,how much heat flows through the window in every hour?

Accepted Answer

A) 50 MJ 
B) 60 MJ 
C) 70 MJ 
D) 80 MJ

Question 20

If you wanted to know how much the temperature of a particular piece of material would rise when a known amount of heat was added to it,which of the following quantities would be most helpful to know?

Accepted Answer

A) initial temperature 
B) specific heat 
C) density 
D) coefficient of linear expansion 
E) thermal conductivity

Exam 16: Temperature and Heat

A 4.0-kg aluminum block is originally at 10°C.If 160 kJ of heat is added to the block,what is its final temperature? The specific heat capacity of aluminum is 910 J/kg ∙ K.

A 200-L electric water heater uses 2.0 kW.Assuming no heat loss,how many hours would it take to heat the water in this tank from 23°C to 75°C? The specific heat of water is 4186 J/kg ∙ K and its density is 1000 kg/m³.

What is the net power that a person with surface area of 1.20 m² radiates if his emissivity is 0.895,his skin temperature is 27°C,and he is in a room that is at a temperature of 17°C? (σ = 5.67 × 10^-8 W/m² ∙ K⁴)

A quantity of mercury occupies 400.0 cm³ at 0°C.What volume will it occupy when heated to 50°C? Mercury has a volume expansion coefficient of 180 × 10^-6 K^-1.

The temperature in your classroom is closest to

The radius of a star is 6.95 × 10⁸ m,and its rate of radiation has been measured to be 5.32 × 10²⁶ W.Assuming that it is a perfect emitter,what is the temperature of the surface of this star? (σ = 5.67 × 10^-8 W/m² ∙ K⁴)

The cylindrical filament in a light bulb has a diameter of 0.050 mm,an emissivity of 1.0,and a temperature of 3000°C.How long should the filament be in order to radiate 60 W of power? (σ = 5.67 × 10^-8 W/m² ∙ K⁴)

The water flowing over Niagara Falls drops a distance of 50 m.If all the gravitational potential energy is converted to thermal energy,by what temperature does the water rise? The specific heat of water is 4186 J/kg ∙ K.

The coefficient of linear expansion of copper is 17 × 10^-6 K^-1.A block of copper 30 cm wide,45 cm long,and 10 cm thick is heated from 0°C to 100°C What is the change in the volume of the block?

Object 1 has three times the specific heat capacity and four times the mass of Object 2.The two objects are heated from the same initial temperature,T₀,to the same final temperature T_f.During this process,if Object 1 absorbs heat Q,the amount of heat absorbed by Object 2 will be

A 5.00-g lead BB moving at 44.0 m/s penetrates a wood block and comes to rest inside the block.If half of its kinetic energy is absorbed by the BB,what is the change in the temperature of the BB? The specific heat of lead is 128 J/kg ∙ K.

Two metal spheres are made of the same material and have the same diameter,but one is solid and the other is hollow.If their temperature is increased by the same amount,

It is necessary to determine the specific heat of an unknown object.The mass of the object is It is determined experimentally that it takes To raise the temperature What is the specific heat of the object?

An aluminum electric tea kettle with a mass of 500 g is heated with a 500-W heating coil.How long will it take to heat up 1.0 kg of water from 18°C to 98°C in the tea kettle? The specific heat of aluminum is 900 J/kg ∙ K and that of water is 4186 J/kg ∙ K.

A window glass that is 0.5 cm thick has dimensions of 3 m by 1.5 m.The thermal conductivity of this glass is 0.8 W/m ∙ K.If the outside surface of the glass is at -10°C and the inside surface is at 20°C,how much heat flows through the window in every hour?

If you wanted to know how much the temperature of a particular piece of material would rise when a known amount of heat was added to it,which of the following quantities would be most helpful to know?