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A 100 g100 \mathrm{~g} glass container contains 250 g250 \mathrm{~g} of water at 15.0C15.0^{\circ} \mathrm{C} . A 20.0 g20.0 \mathrm{~g} piece of lead at 100C100{ }^{\circ} \mathrm{C} is added to the water in the container. What is the final temperature of the system in C{ }^{\circ} \mathrm{C} ? (specific heat of water =1.00cal/g=1.00 \mathrm{cal} / \mathrm{g} C{ }^{\circ} \mathrm{C} , specific heat of glass =0.200cal/gC=0.200 \mathrm{cal} / \mathrm{g}{ }^{\circ} \mathrm{C} , specific heat of lead =0.0310cal/gC=0.0310 \mathrm{cal} / \mathrm{g}{ }^{\circ} \mathrm{C} )


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

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A concrete wall is 15.0 cm15.0 \mathrm{~cm} thick and has an area of 10.0 m210.0 \mathrm{~m}^{2} . A layer of wood that is 2.50 cm2.50 \mathrm{~cm} thick is placed over the wall to reduce the loss of heat by thermal conduction. The thermal conductivity of concrete is 1.70 W/mC\mathrm{W} / \mathrm{m}^{\circ} \mathrm{C} and the thermal conductivity of wood is 0.0400 W/mC0.0400 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C} . What is the effective thermal conductivity of the wood-on-concrete system?


A) 1.65 W/mC1.65 \mathrm{~W} / \mathrm{m}{ }^{\circ} \mathrm{C}
B) 2.34 W/mC2.34 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C}
C) 1.22 W/mC1.22 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C}
D) 2.02 W/mC2.02 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C}
E) 0.245 W/mC0.245 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C}

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The molar specific heat of a diatomic ideal gas at constant volume is Cv=5/2R\mathrm{Cv}=5 / 2 \mathrm{R} . What is the heat needed to heat 28.00 g28.00 \mathrm{~g} of nitrogen gas from 20.00C20.00^{\circ} \mathrm{C} to 85.00C85.00^{\circ} \mathrm{C} ?


A) 1,753 J1,753 \mathrm{~J}
B) 2,890 J2,890 \mathrm{~J}
C) 1,350 J1,350 \mathrm{~J}
D) 1,443 J1,443 \mathrm{~J}
E) 1,540 J1,540 \mathrm{~J}

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The specific heat of ice is 2.10 kJ/kgC2.10 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} , the heat of fusion for ice at 0C0{ }^{\circ} \mathrm{C} is 333.7 kJ/kg333.7 \mathrm{~kJ} / \mathrm{kg} , the specific heat of water 4.186 kJ/kgC4.186 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} , and the heat of vaporization of water at 100C100^{\circ} \mathrm{C} is 2,256 kJ/kg2,256 \mathrm{~kJ} / \mathrm{kg} . What is the final equilibrium temperature when 5.00 grams of ice at 15.0C-15.0^{\circ} \mathrm{C} is mixed with 40.0 grams of water at 75.0C75.0^{\circ} \mathrm{C} ?


A) 57.0C57.0^{\circ} \mathrm{C}
B) 16.1C16.1^{\circ} \mathrm{C}
C) 20.9C20.9^{\circ} \mathrm{C}
D) 28.3C28.3^{\circ} \mathrm{C}
E) 18.6C18.6^{\circ} \mathrm{C}

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The specific heat of ice is 2.10 kJ/kgC2.10 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} , the heat of fusion for ice at 0C0{ }^{\circ} \mathrm{C} is 333.7 kJ/kg333.7 \mathrm{~kJ} / \mathrm{kg} , the specific heat of water 4.186 kJ/kgC4.186 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} , the heat of vaporization of water at 100C100^{\circ} \mathrm{C} is 2,256 kJ/kg2,256 \mathrm{~kJ} / \mathrm{kg} , and the specific heat of steam is 2.020 kJ/kgC2.020 \mathrm{~kJ} / \mathrm{kg}^{\circ} \mathrm{C} . What is the final equilibrium temperature when 30.0 grams of ice at 0C0{ }^{\circ} \mathrm{C} is mixed with 4.00 grams of steam at 120C120^{\circ} \mathrm{C} ?


A) 3.02C3.02^{\circ} \mathrm{C}
B) 8.77C8.77^{\circ} \mathrm{C}
C) 18.4C18.4^{\circ} \mathrm{C}
D) 5.97C5.97^{\circ} \mathrm{C}
E) 10.2C10.2^{\circ} \mathrm{C}

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A 100 g100 \mathrm{~g} glass container contains 250 g250 \mathrm{~g} of water at 15.0C15.0^{\circ} \mathrm{C} . A 100 g100 \mathrm{~g} piece of unknown material at 100C100{ }^{\circ} \mathrm{C} is added to the water in the container. The final temperature of the mixture is 19.0C19.0^{\circ} \mathrm{C} . What is the specific heat of the unknown material in J/kgC\mathrm{J} / \mathrm{kg}{ }^{\circ} \mathrm{C} ? (specific heat of water =4,186 J/kgC=4,186 \mathrm{~J} / \mathrm{kg}{ }^{\circ} \mathrm{C} , specific heat of glass =837.2=837.2 J/kgC\mathrm{J} / \mathrm{kg}{ }^{\circ} \mathrm{C} )


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

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The specific heat of water is 1.000cal/(gC) 1.000 \mathrm{cal} /\left(\mathrm{g} \cdot{ }^{\circ} \mathrm{C}\right) . What is the specific heat of water in SI units?


A) 2,765 J/(kgK) 2,765 \mathrm{~J} /(\mathrm{kg} \cdot \mathrm{K})
B) 2,124 J/(kgK) 2,124 \mathrm{~J} /(\mathrm{kg} \cdot \mathrm{K})
C) 3,417 J/(kgK) 3,417 \mathrm{~J} /(\mathrm{kg} \cdot \mathrm{K})
D) 4,186 J/(kgK) 4,186 \mathrm{~J} /(\mathrm{kg} \cdot \mathrm{K})
E) 3,764 J/(kgK) 3,764 \mathrm{~J} /(\mathrm{kg} \cdot \mathrm{K})

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The intensity of solar radiation reaching the Earth is 1,340 W/m21,340 \mathrm{~W} / \mathrm{m}^{2} when the temperature of the Sun is 5,800 K5,800 \mathrm{~K} . If the temperature of the Sun decreased by 10.0%10.0 \% , then what would be the intensity of solar radiation reaching the Earth?


A) 578 W/m2578 \mathrm{~W} / \mathrm{m}^{2}
B) 752 W/m2752 \mathrm{~W} / \mathrm{m}^{2}
C) 667 W/m2667 \mathrm{~W} / \mathrm{m}^{2}
D) 610 W/m2610 \mathrm{~W} / \mathrm{m}^{2}
E) 879 W/m2879 \mathrm{~W} / \mathrm{m}^{2}

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The specific heat of ice is 2.10 kJ/kgC2.10 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} , the heat of fusion for ice at 0C0{ }^{\circ} \mathrm{C} is 333.7 kJ/kg333.7 \mathrm{~kJ} / \mathrm{kg} , the specific heat of water 4.186 kJ/kgC4.186 \mathrm{~kJ} / \mathrm{kg}^{\circ} \mathrm{C} , the heat of vaporization of water at 100C100{ }^{\circ} \mathrm{C} is 2,256 kJ/kg2,256 \mathrm{~kJ} / \mathrm{kg} , and the specific heat of steam is 2.020 kJ/kgC2.020 \mathrm{~kJ} / \mathrm{kg}^{\circ} \mathrm{C} . What is the final equilibrium temperature when 10.0 grams of ice at 15.0C-15.0^{\circ} \mathrm{C} is mixed with 2.00 grams of steam at 120C120^{\circ} \mathrm{C} ?


A) 39.5C39.5^{\circ} \mathrm{C}
B) 40.1C40.1^{\circ} \mathrm{C}
C) 35.4C35.4^{\circ} \mathrm{C}
D) 37.2C37.2^{\circ} \mathrm{C}
E) 33.2C33.2^{\circ} \mathrm{C}

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A 100 gram glass container contains 200 grams of water and 5 grams of ice all at 0C0{ }^{\circ} \mathrm{C} . A 200 gram piece of lead at 100C100^{\circ} \mathrm{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/kgC=2,000 \mathrm{~J} / \mathrm{kg}{ }^{\circ} \mathrm{C} , specific heat of water =4,186 J/kgC=4,186 \mathrm{~J} / \mathrm{kg}{ }^{\circ} \mathrm{C} , heat of fusion of water =333.7=333.7 kJ/kg\mathrm{kJ} / \mathrm{kg} , specific heat of glass =837.2 J/kgC=837.2 \mathrm{~J} / \mathrm{kg}{ }^{\circ} \mathrm{C} , specific heat of lead =127.7 J/kgC=127.7 \mathrm{~J} / \mathrm{kg}{ }^{\circ} \mathrm{C} )


A) 4.87C4.87^{\circ} \mathrm{C}
B) 2.19C2.19^{\circ} \mathrm{C}
C) 3.65C3.65^{\circ} \mathrm{C}
D) 0.915C0.915^{\circ} \mathrm{C}
E) 5.33C5.33{ }^{\circ} \mathrm{C}

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The specific heat of ice is 2.10 kJ/kgC2.10 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} , the heat of fusion for ice at 0C0{ }^{\circ} \mathrm{C} is 333.7 kJ/kg333.7 \mathrm{~kJ} / \mathrm{kg} , the specific heat of water 4.186 kJ/kgC4.186 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} , and the heat of vaporization of water at 100C100^{\circ} \mathrm{C} is 2,256 kJ/kg2,256 \mathrm{~kJ} / \mathrm{kg} . What is the final equilibrium temperature when 10.0 grams of ice at 15C-15^{\circ} \mathrm{C} is mixed with 40.0 grams of water at 75C75^{\circ} \mathrm{C} ?


A) 53.6C53.6^{\circ} \mathrm{C}
B) 48.9C48.9^{\circ} \mathrm{C}
C) 59.5C59.5^{\circ} \mathrm{C}
D) 42.6C42.6^{\circ} \mathrm{C}
E) 57.2C57.2^{\circ} \mathrm{C}

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Water has a specific heat capacity of 4,186 J/kgC4,186 \mathrm{~J} / \mathrm{kg}{ }^{\circ} \mathrm{C} . A tank contains 500 kg500 \mathrm{~kg} of water at 10.0C10.0{ }^{\circ} \mathrm{C} . The water is heated to a temperature of 90.0C90.0^{\circ} \mathrm{C} . If electricity costs $0.100\$ 0.100 per kilowatt-hour, then what is the cost of heating the water?


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

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The specific heat of ice is 2.10 kJ/kgC2.10 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} , the heat of fusion for ice at 0C0{ }^{\circ} \mathrm{C} is 333.7 kJ/kg333.7 \mathrm{~kJ} / \mathrm{kg} , the specific heat of water 4.186 kJ/kgC4.186 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} , the heat of vaporization of water at 100C100^{\circ} \mathrm{C} is 2,256 kJ/kg2,256 \mathrm{~kJ} / \mathrm{kg} , and the specific heat of steam is 2.020 kJ/kgC2.020 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} . What is the final equilibrium temperature when 40.0 grams of ice at 0C0{ }^{\circ} \mathrm{C} is mixed with 5.00 grams of steam at 120C120^{\circ} \mathrm{C} ?


A) 1.07C1.07^{\circ} \mathrm{C}
B) 1.21C1.21^{\circ} \mathrm{C}
C) 3.01C3.01{ }^{\circ} \mathrm{C}
D) 0.90C0.90^{\circ} \mathrm{C}
E) 2.65C2.65^{\circ} \mathrm{C}

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A Styrofoam cooler has a surface area of 2,700 cm22,700 \mathrm{~cm}^{2} and a wall thickness of 3.0 cm3.0 \mathrm{~cm} . Styrofoam has a thermal conductivity of 0.010 W/mC0.010 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C} . A 2.0 kg2.0 \mathrm{~kg} block of ice is placed inside the cooler that has a temperature inside of 2.0C2.0^{\circ} \mathrm{C} . If the heat of fusion for ice is 333.7 kJ/kg333.7 \mathrm{~kJ} / \mathrm{kg} and the temperature outside is 35.0C35.0^{\circ} \mathrm{C} , then how long will the ice last? Ignore the effect of the air inside the cooler.


A) 42 hours
B) 55 hours
C) 74 hours
D) 24 hours
E) 62 hours

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The heat of fusion for gold at 1,063C1,063{ }^{\circ} \mathrm{C} is 66.6 kJ/kg66.6 \mathrm{~kJ} / \mathrm{kg} and the specific heat of gold is 0.128 kJ/kgC0.128 \mathrm{~kJ} / \mathrm{kg}{ }^{\circ} \mathrm{C} . What is the energy needed to melt 100 grams of gold starting at 0C0{ }^{\circ} \mathrm{C} ?


A) 17.8 kJ17.8 \mathrm{~kJ}
B) 9.50 kJ9.50 \mathrm{~kJ}
C) 7.50 kJ7.50 \mathrm{~kJ}
D) 12.3 kJ12.3 \mathrm{~kJ}
E) 20.3 kJ20.3 \mathrm{~kJ}

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A 100 g100 \mathrm{~g} glass container is at 10.0C.200 g10.0^{\circ} \mathrm{C} .200 \mathrm{~g} of water at 90.0C90.0^{\circ} \mathrm{C} is added to the glass container. What is the final temperature of the water and the glass, in C{ }^{\circ} \mathrm{C} ? (specific heat of water =1.00cal/gC=1.00 \mathrm{cal} / \mathrm{g}{ }^{\circ} \mathrm{C} , specific heat of glass =0.200cal/gC=0.200 \mathrm{cal} / \mathrm{g}^{\circ} \mathrm{C} )


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

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A rigid cylindrical container, 15 cm15 \mathrm{~cm} tall and 15 cm15 \mathrm{~cm} in radius, is filled with xenon (a monatomic gas) at standard temperature (0C) \left(0{ }^{\circ} \mathrm{C}\right) and pressure (1 atm) (1 \mathrm{~atm}) . If the heat input to the container is 185 J185 \mathrm{~J} , what is the final temperature of the gas?


A) 28C28^{\circ} \mathrm{C}
B) 47C47^{\circ} \mathrm{C}
C) 9.4C9.4^{\circ} \mathrm{C}
D) 19C19^{\circ} \mathrm{C}
E) 16C16^{\circ} \mathrm{C}
F) 31C31^{\circ} \mathrm{C}

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A Styrofoam cooler has a surface area of 2,700 cm22,700 \mathrm{~cm}^{2} and a wall thickness of 3.00 cm3.00 \mathrm{~cm} . Styrofoam has a thermal conductivity of 0.010 W/mC0.010 \mathrm{~W} / \mathrm{m}{ }^{\circ} \mathrm{C} . A 2.00 kg2.00 \mathrm{~kg} block of ice is placed inside the cooler that has a temperature inside of 2C2^{\circ} \mathrm{C} . When the temperature outside is 30.0C30.0^{\circ} \mathrm{C} , the ice lasts for 8.00 hours. If the temperature outside becomes 20.0C20.0^{\circ} \mathrm{C} , then how long will the ice last? Ignore the effect of the air inside the cooler.


A) 12.4hr12.4 \mathrm{hr}
B) 18.5hr18.5 \mathrm{hr}
C) 20.3hr20.3 \mathrm{hr}
D) 10.1hr10.1 \mathrm{hr}
E) 8.5hr8.5 \mathrm{hr}

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The heat of fusion for ice at 0C0{ }^{\circ} \mathrm{C} is 333.7 kJ/kg333.7 \mathrm{~kJ} / \mathrm{kg} . What is the energy needed to melt 100 grams of ice at 0.00 C{ }^{\circ} \mathrm{C} ?


A) 39.4 kJ39.4 \mathrm{~kJ}
B) 12.7 kJ12.7 \mathrm{~kJ}
C) 33.4 kJ33.4 \mathrm{~kJ}
D) 25.5 kJ25.5 \mathrm{~kJ}
E) 17.5 kJ17.5 \mathrm{~kJ}

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A rigid cylindrical container, 15 cm15 \mathrm{~cm} tall and 15 cm15 \mathrm{~cm} in radius, is filled with xenon (a monatomic gas) at standard temperature (0C) \left(0{ }^{\circ} \mathrm{C}\right) and pressure (1 atm) (1 \mathrm{~atm}) . The temperature of the container is later raised to 25C25^{\circ} \mathrm{C} . What is the heat input required to perform this act?


A) 300 J300 \mathrm{~J}
B) 250 J250 \mathrm{~J}
C) 150 J150 \mathrm{~J}
D) 490 J490 \mathrm{~J}
E) 100 J100 \mathrm{~J}
F) 160 J160 \mathrm{~J}

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