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1) The temperature of a bar of an unknown metal rises by 10.0°C when it absorbs 0.527 kJ of energy by heat. The mass of the bar is 525 g. Determine the specific heat of the unknown. 2) Lake Erie contains roughly 4.00 ✕ 1011 m3 of water. (a) How much energy is required to raise the temperature of that volume of water from 17.6°C to 21.0˚C? Assume the density of this water is 1000 kg/m3 and the specific heat of water is 4186 J/kg˚C 3) How many years would it take to supply this amount of energy by using the 1107 MW exhaust energy of an electric power plant? 4) The highest recorded waterfall in the world is found at Angel Falls in Venezuela. Its longest single waterfall has a height of 807 m. If water at the top of the falls is at 17.1°C, what is the maximum temperature of the water at the bottom of the falls? Assume all the potential energy of the water at the top goes into raising the water's temperature. The specific heat of water is 4186 J/kg˚C 5) What mass of water at 25.1°C must be allowed to come to thermal equilibrium with a 1.78 kg cube of aluminum initially at 150°C to lower the temperature of the aluminum to 60.9°C? Assume any water turned to steam subsequently recondenses. The specific heat of water is 4186 J/kg˚C and the specific heat of aluminum is 900 J/kg˚C 6) Snoop Dogg, in an effort to get laid back (with his mind on his money and his money on his mind) pours himself a gin and juice. He mixes 0.129 kg (about 3 shots) of gin with 0.517 kg (about a pint) of orange juice. The gin starts at 20˚C, room temperature. The juice is refrigerated and starts at 2.52˚C. What is the final temperature after mixing of the gin and juice? The specific heat of gin is 3460 J/kg˚C and the specific heat of orange juice is 3730 J/kg˚C. 7) To cool down a student pours themselves an ice coffee. They put 238.1 g of ice at 0˚C into 258 g of coffee at 85.9˚C. What is the final temperature of the iced coffee? The specific heat of water is 4186 J/kg˚C and the specific heat of coffee is 3980 J/kg˚C. The latent heat of fusion for ice is 3.33x105 J/kg. 8) How much energy is required to change a 26.8 g ice cube from ice at -36.6°C to steam at 116°C? The specific heat of ice is 2090 J/kg˚C, The specific heat of water is 4186 J/kg˚C, and The specific heat of steam is 2010 J/kg˚C The latent heat of fusion for water is 3.33 x 105 J/kg and the the latent heat of vaporization for water is 2.26 x 106 J/kg

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