Question 1

If the surface temperature of the Earth is 290 K and that of the Sun is 6000 K,assuming the same emissivities,what is the ratio of the energy radiated per square meter of the Earth to that of the Sun?

Accepted Answer

A)  0.48 
B)  2.3 × 10-3 
C)  6.4 × 10-5 
D)  5.5 × 10-6

Question 2

An inventor develops a stationary cycling device by which an individual,while pedaling,can convert all of the energy expended into heat for warming water.How much mechanical energy is required to increase the temperature of 300 g of water (enough for 1 cup of coffee)from 30°C to 90°C? (1 cal = 4.186 J,the specific heat of water is 4186 J/kg · °C)

Accepted Answer

A)  94,000 J 
B)  75,000 J 
C)  5400 J 
D)  14 J

Question 3

A steel sphere sits on top of an aluminum ring.The steel sphere (α = 1.10 × 10−5/°C)has a diameter of 4.0000 cm at 0°C.The aluminum ring (α = 2.40 × 10−5/°C)has an inside diameter of 3.9900 cm at 0°C.Closest to which temperature given will the sphere just fall through the ring?

Accepted Answer

A)  462°C 
B)  193°C 
C)  116°C 
D)  57.7°C

Question 4

If it is given that 546 K equals 273°C,then it follows that 423 K equals:

Accepted Answer

A)  127°C. 
B)  150°C. 
C)  473°C. 
D)  1200°C.

Question 5

Find the final equilibrium temperature when 20.0 g of milk at 10.0°C is added to 160 g of coffee at 90.0°C.(Assume the specific heats of coffee and milk are the same as water and neglect the heat capacity of the container,and cwater = 1.00 cal/g·°C = 4186 J/kg·°C)

Accepted Answer

A)  85.3°C 
B)  81.1°C 
C)  71.4°C 
D)  66.7°C

Question 6

Which of the following has the highest specific heat?

Accepted Answer

A)  ice 
B)  water 
C)  steam 
D)  They are all water,so they all have the same specific heat.

Question 7

A pipe of length 10.0 m increases in length by 2.0 cm when its temperature is increased by 90°F.What is its coefficient of linear expansion?

Accepted Answer

A)  22 × 10-6/°C 
B)  17 × 10-6/°C 
C)  13 × 10-6/°C 
D)  40 × 10-6/°C

Question 8

A 2.00-kg copper rod is 40.00 cm long at 23°C.If 50,000 J are transferred to the rod by heat,what is its change in length? (ccopper = 387 J/kg·°C and αcopper = 17 × 10-6/°C)

Accepted Answer

A)  0.022 cm 
B)  0.044 cm 
C)  0.055 cm 
D)  More information is needed.

Question 9

A waterfall is 70 m high.What is the increase in water temperature at the bottom of the falls if all the initial potential energy goes into heating the water? (g = 9.8 m/s2,cw = 4186 J/kg·°C)

Accepted Answer

A)  0.16°C 
B)  0.34°C 
C)  0.69°C 
D)  1.04°C

Question 10

A metal bar is used to conduct heat.When the temperature at one end is 100°C and at the other is 20°C,heat is transferred at a rate of 16 J/s.If the temperature of the hotter end is reduced to 60°C,what will be the rate of heat transfer?

Accepted Answer

A)  4 J/s 
B)  8 J/s 
C)  9 J/s 
D)  12 J/s

Question 11

100 g of liquid nitrogen at its boiling point of 77 K is stirred into a beaker containing 600 g of 15°C water.If the nitrogen leaves the solution as soon as it turns to gas,how much water freezes? The heat of vaporization of nitrogen is 48 cal/g and that of water is 80 cal/g.

Accepted Answer

A)  none 
B)  29 g 
C)  68 g 
D)  109 g

Question 12

A 20-kg piece of aluminum (which has a specific heat of 900 J/kg · °C)is warmed so that its temperature increases by 5.0°C.How much heat was transferred into it?

Accepted Answer

A)  4.5 × 104 J 
B)  9.0 × 104 J 
C)  1.4 × 105 J 
D)  2.0 × 105 J

Question 13

A silver bar of length 30 cm and cross-sectional area 2.0 cm2 is used to transfer heat from a 100°C reservoir to a 0°C block of ice.How much ice is melted per second? (For silver,k = 427 W / m · °C.For ice,Lf = 334,000 J/kg. )

Accepted Answer

A)  4.2 g/s 
B)  0.085 g/s 
C)  0.80 g/s 
D)  0.043 g/s

Question 14

An 100-g piece of copper,initially at 295°C,is dropped into 250 g of water contained in a 300-g aluminum calorimeter;the water and calorimeter are initially at 10.0°C.What is the final temperature of the system? (Specific heats of copper and aluminum are 0.0920 and 0.215 cal/g·°C,respectively.cw = 1.00 cal/g·°C)

Accepted Answer

A)  12.8°C 
B)  16.5°C 
C)  18.1°C 
D)  32.1°C

Question 15

A temperature change from 15°C to 45°C corresponds to what incremental change in °F?

Accepted Answer

A)  54 
B)  40 
C)  36 
D)  313

Question 16

If a 2100-kg car was moving at 30 m/s,what would be its kinetic energy expressed in the unusual (for kinetic energy)units of calories? (1 cal = 4.186 J)

Accepted Answer

A)  3.0 × 104 
B)  2.3 × 105 
C)  3.8 × 106 
D)  1.1 × 105

Question 17

A solar heated house loses about 7.4 × 107 cal through its outer surfaces on a typical 24-hour winter day.What mass of storage rock is needed to provide this amount of heat if it is brought up to initial temperature of 62°C by the solar collectors,and the house is maintained at 20°C? (Specific heat of rock is 0.21 cal/g · °C. )

Accepted Answer

A)  160 kg 
B)  1200 kg 
C)  6100 kg 
D)  8400 kg

Question 18

A brass cube,10 cm on a side,is raised in temperature by 150°C.The coefficient of volume expansion of brass is 57 × 10−6/°C.By what percentage does volume increase?

Accepted Answer

A)  12% 
B)  2.8% 
C)  1.1% 
D)  0.86%

Question 19

At 20°C an aluminum ring has an inner diameter of 5.000 cm,and a brass rod has a diameter of 5.020 cm.Keeping the brass rod at 20°C,which of the following temperatures of the ring will allow the ring to just slip over the brass rod? (αAl = 2.4 × 10−5 /°C,αbrass = 1.9 × 10−5/°C )

Accepted Answer

A)  111°C 
B)  187°C 
C)  228°C 
D)  437°C

Question 20

Suppose the ends of a 20-m long steel beam are rigidly clamped at 0°C to prevent expansion.The rail has a cross-sectional area of 15 cm2.What force does the beam exert when it is heated to 40°C? (αsteel = 1.1 × 10−5/C°,Ysteel = 2.0 × 1011 N/m2)

Accepted Answer

A)  2.6 × 105 N 
B)  5.6 × 104 N 
C)  1.3 × 105 N 
D)  6.5 × 102 N

Exam 14: Sound: Part A

If the surface temperature of the Earth is 290 K and that of the Sun is 6000 K,assuming the same emissivities,what is the ratio of the energy radiated per square meter of the Earth to that of the Sun?

A steel sphere sits on top of an aluminum ring.The steel sphere (α = 1.10 × 10−⁵/°C) has a diameter of 4.0000 cm at 0°C.The aluminum ring (α = 2.40 × 10−⁵/°C) has an inside diameter of 3.9900 cm at 0°C.Closest to which temperature given will the sphere just fall through the ring?

If it is given that 546 K equals 273°C,then it follows that 423 K equals:

Find the final equilibrium temperature when 20.0 g of milk at 10.0°C is added to 160 g of coffee at 90.0°C.(Assume the specific heats of coffee and milk are the same as water and neglect the heat capacity of the container,and c_water = 1.00 cal/g·°C = 4186 J/kg·°C)

Which of the following has the highest specific heat?

A pipe of length 10.0 m increases in length by 2.0 cm when its temperature is increased by 90°F.What is its coefficient of linear expansion?

A 2.00-kg copper rod is 40.00 cm long at 23°C.If 50,000 J are transferred to the rod by heat,what is its change in length? (c_copper = 387 J/kg·°C and α_copper = 17 × 10^-6/°C)

A waterfall is 70 m high.What is the increase in water temperature at the bottom of the falls if all the initial potential energy goes into heating the water? (g = 9.8 m/s²,c_w = 4186 J/kg·°C)

A metal bar is used to conduct heat.When the temperature at one end is 100°C and at the other is 20°C,heat is transferred at a rate of 16 J/s.If the temperature of the hotter end is reduced to 60°C,what will be the rate of heat transfer?

100 g of liquid nitrogen at its boiling point of 77 K is stirred into a beaker containing 600 g of 15°C water.If the nitrogen leaves the solution as soon as it turns to gas,how much water freezes? The heat of vaporization of nitrogen is 48 cal/g and that of water is 80 cal/g.

A 20-kg piece of aluminum (which has a specific heat of 900 J/kg · °C) is warmed so that its temperature increases by 5.0°C.How much heat was transferred into it?

A silver bar of length 30 cm and cross-sectional area 2.0 cm² is used to transfer heat from a 100°C reservoir to a 0°C block of ice.How much ice is melted per second? (For silver,k = 427 W / m · °C.For ice,L_f = 334,000 J/kg. )

A temperature change from 15°C to 45°C corresponds to what incremental change in °F?

If a 2100-kg car was moving at 30 m/s,what would be its kinetic energy expressed in the unusual (for kinetic energy) units of calories? (1 cal = 4.186 J)

A brass cube,10 cm on a side,is raised in temperature by 150°C.The coefficient of volume expansion of brass is 57 × 10−⁶/°C.By what percentage does volume increase?

At 20°C an aluminum ring has an inner diameter of 5.000 cm,and a brass rod has a diameter of 5.020 cm.Keeping the brass rod at 20°C,which of the following temperatures of the ring will allow the ring to just slip over the brass rod? (α_Al = 2.4 × 10−⁵ /°C,α_brass = 1.9 × 10−⁵/°C )

Suppose the ends of a 20-m long steel beam are rigidly clamped at 0°C to prevent expansion.The rail has a cross-sectional area of 15 cm².What force does the beam exert when it is heated to 40°C? (α_steel = 1.1 × 10−⁵/C°,Y_steel = 2.0 × 10¹¹ N/m²)

Exam 14: Sound: Part A

If the surface temperature of the Earth is 290 K and that of the Sun is 6000 K,assuming the same emissivities,what is the ratio of the energy radiated per square meter of the Earth to that of the Sun?

A steel sphere sits on top of an aluminum ring.The steel sphere (α = 1.10 × 10−5/°C) has a diameter of 4.0000 cm at 0°C.The aluminum ring (α = 2.40 × 10−5/°C) has an inside diameter of 3.9900 cm at 0°C.Closest to which temperature given will the sphere just fall through the ring?

If it is given that 546 K equals 273°C,then it follows that 423 K equals:

Find the final equilibrium temperature when 20.0 g of milk at 10.0°C is added to 160 g of coffee at 90.0°C.(Assume the specific heats of coffee and milk are the same as water and neglect the heat capacity of the container,and cwater = 1.00 cal/g·°C = 4186 J/kg·°C)

Which of the following has the highest specific heat?

A pipe of length 10.0 m increases in length by 2.0 cm when its temperature is increased by 90°F.What is its coefficient of linear expansion?

A 2.00-kg copper rod is 40.00 cm long at 23°C.If 50,000 J are transferred to the rod by heat,what is its change in length? (ccopper = 387 J/kg·°C and αcopper = 17 × 10-6/°C)

A waterfall is 70 m high.What is the increase in water temperature at the bottom of the falls if all the initial potential energy goes into heating the water? (g = 9.8 m/s2,cw = 4186 J/kg·°C)

A metal bar is used to conduct heat.When the temperature at one end is 100°C and at the other is 20°C,heat is transferred at a rate of 16 J/s.If the temperature of the hotter end is reduced to 60°C,what will be the rate of heat transfer?

100 g of liquid nitrogen at its boiling point of 77 K is stirred into a beaker containing 600 g of 15°C water.If the nitrogen leaves the solution as soon as it turns to gas,how much water freezes? The heat of vaporization of nitrogen is 48 cal/g and that of water is 80 cal/g.

A 20-kg piece of aluminum (which has a specific heat of 900 J/kg · °C) is warmed so that its temperature increases by 5.0°C.How much heat was transferred into it?

A silver bar of length 30 cm and cross-sectional area 2.0 cm2 is used to transfer heat from a 100°C reservoir to a 0°C block of ice.How much ice is melted per second? (For silver,k = 427 W / m · °C.For ice,Lf = 334,000 J/kg. )

A temperature change from 15°C to 45°C corresponds to what incremental change in °F?

If a 2100-kg car was moving at 30 m/s,what would be its kinetic energy expressed in the unusual (for kinetic energy) units of calories? (1 cal = 4.186 J)

A brass cube,10 cm on a side,is raised in temperature by 150°C.The coefficient of volume expansion of brass is 57 × 10−6/°C.By what percentage does volume increase?

At 20°C an aluminum ring has an inner diameter of 5.000 cm,and a brass rod has a diameter of 5.020 cm.Keeping the brass rod at 20°C,which of the following temperatures of the ring will allow the ring to just slip over the brass rod? (αAl = 2.4 × 10−5 /°C,αbrass = 1.9 × 10−5/°C )

Suppose the ends of a 20-m long steel beam are rigidly clamped at 0°C to prevent expansion.The rail has a cross-sectional area of 15 cm2.What force does the beam exert when it is heated to 40°C? (αsteel = 1.1 × 10−5/C°,Ysteel = 2.0 × 1011 N/m2)

A steel sphere sits on top of an aluminum ring.The steel sphere (α = 1.10 × 10−⁵/°C) has a diameter of 4.0000 cm at 0°C.The aluminum ring (α = 2.40 × 10−⁵/°C) has an inside diameter of 3.9900 cm at 0°C.Closest to which temperature given will the sphere just fall through the ring?

Find the final equilibrium temperature when 20.0 g of milk at 10.0°C is added to 160 g of coffee at 90.0°C.(Assume the specific heats of coffee and milk are the same as water and neglect the heat capacity of the container,and c_water = 1.00 cal/g·°C = 4186 J/kg·°C)

A 2.00-kg copper rod is 40.00 cm long at 23°C.If 50,000 J are transferred to the rod by heat,what is its change in length? (c_copper = 387 J/kg·°C and α_copper = 17 × 10^-6/°C)

A waterfall is 70 m high.What is the increase in water temperature at the bottom of the falls if all the initial potential energy goes into heating the water? (g = 9.8 m/s²,c_w = 4186 J/kg·°C)

A silver bar of length 30 cm and cross-sectional area 2.0 cm² is used to transfer heat from a 100°C reservoir to a 0°C block of ice.How much ice is melted per second? (For silver,k = 427 W / m · °C.For ice,L_f = 334,000 J/kg. )

A brass cube,10 cm on a side,is raised in temperature by 150°C.The coefficient of volume expansion of brass is 57 × 10−⁶/°C.By what percentage does volume increase?

At 20°C an aluminum ring has an inner diameter of 5.000 cm,and a brass rod has a diameter of 5.020 cm.Keeping the brass rod at 20°C,which of the following temperatures of the ring will allow the ring to just slip over the brass rod? (α_Al = 2.4 × 10−⁵ /°C,α_brass = 1.9 × 10−⁵/°C )

Suppose the ends of a 20-m long steel beam are rigidly clamped at 0°C to prevent expansion.The rail has a cross-sectional area of 15 cm².What force does the beam exert when it is heated to 40°C? (α_steel = 1.1 × 10−⁵/C°,Y_steel = 2.0 × 10¹¹ N/m²)