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17b

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ASK YOUR TEACHER PRACTICE ANOTHER The same amount of heat entering identical masses of different substances produces different temperature changes. Calculate the nal temperature when 2.10 kcal of heat enters 1.98 kg of the following, originally at 331C. The specic heat capacity for each material is given in square brackets below. (a) water [1.00 kcal/(kg - C)] C 1. [-I1 Points] WAUNIPHYSAV1 17.P.025. H (b) concrete [0.20 kcaI/(kg - C)] C U (c) steel [0.108 kcal/(kg ~ C)] C |:l (d) mercury [0.0333 kcaI/(kg ~ C)] c U ASK YOUR TEACHER PRACTICE ANOTHER Even when shut down after a period of normal use, a large commercial nuclear reactor produces heat at the rate of 117 MW by the radioactive decay of ssion products. This causes a rapid increase in temperature if the 2. [-I1 Points] WAUNIPHVSAV1 17.P.028. cooling system fails. (a) Calculate the rate of temperature increase in degrees Celsius per second (C/s), if the mass of the reactor core is 1.60 x 105 kg and has an average specic heat of 0.0800 kcal/(kg ' C). :Ws (b) How long would it take to obtain a temperature increase of 2500C? (The initial rate of temperature increase would be greater than calculated here, because the heat is concentrated in a smaller mass, but later, the temperature increase would slow because the 5 x 105-kg steel containment vessel would begin to be heated, too.) :5 3. [-/1 Points] DETAILS WAUNIPHYSAV1 17.P.030.TUTORIAL. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Kerepakupai Vena in Venezuela, more commonly known as Angel Falls, is the world's highest waterfall with a height of 979 m and 47 different plunges. The longest plunge (for the water) is 807 m. At the bottom of the fall, the kinetic energy of the water is converted into thermal energy. This results in a temperature increase of the water. If the water has a temperature of 16.0C when it gets to the bottom of the plunge, what was the temperature at the top of the plunge? The specific heat of water is 1.00 kcal/(kg . C). C 129 Tutorial 4. [-/1 Points] DETAILS WAUNIPHYSAV1 17.P.040. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Following vigorous exercise, an 80.0-kg person's body temperature is 37.7C. At what rate in watts must they transfer thermal energy to reduce their temperature to 37.0C in 32.1 min, assuming their body continues to produce energy at the rate of 150 W? The specific heat of the human body is 3500 J/(kg . C). W 5. [-/1 Points] DETAILS WAUNIPHYSAV1 17.P.042. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 3.00 moles of a certain gas is mixed with 1.70 moles of a second gas in a container. The molar specific heat of the first gas is 12.5 3/(mol . K), while the second gas has a molar specific heat of 28.5 J/(mol . K). What is the molar specific heat of the mixture? J/ (mol . K) 6. [-/1 Points] DETAILS WAUNIPHYSAV1 17.P.034. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You pour 160 g hot coffee at 78.7C and some cold cream at 7.50C to a 115-g cup that is initially at a temperature of 22.0 C. The cup, coffee, and cream reach an equilibrium temperature of 58.0.C. The material of the cup has a specific heat of 0.2604 kcal/(kg . C) and the specific heat of both the coffee and cream is 1.00 kcal/(kg . C). If no heat is lost to the surroundings or gained from the surroundings, how much cream did you add? 97. [-/1 Points] DETAILS WAUNIPHYSAV1 17.P.037. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An artist working on a piece of metal in his forging studio plunges the hot metal into oil in order to harden it. The metal piece has a mass of 78.0 kg and its specific heat is 0.1027 kcal/(kg . .C). He uses 810 kg of oil at 35.0 C. The specific heat of oil is 0.7167 kcal/(kg . C). Once the metal is immersed in the oil, the temperature reaches an equilibrium value of 38.0C. How hot was the forged metal piece just before it was plunged into the oil? .C 8. [-/1 Points] DETAILS WAUNIPHYSAV1 17.P.039.TUTORIAL. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A 0.250-kg aluminum bowl holding 0.800 kg of soup at 30.2C is placed in a freezer. What is the final temperature if 406 kj of energy is transferred from the bowl and soup to the surroundings? Assume the soup has the same thermal properties as that of water, the specific heat of the liquid soup is 1.00 kcal/(kg . C), frozen soup is 0.500 kcal/(kg . .C), and the heat of fusion is 79.8 kcal/kg. The specific heat of aluminum is 0.215 kcal/(kg . C). .C 129 Tutorial 9. [-/1 Points] DETAILS WAUNIPHYSAV1 17.P.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In a physics lab, students are conducting an experiment to learn about the heat capacity of different materials. The first group is instructed to add a number of 1.50 g pellets made of lead, at a temperature of 92.0 C, to 245 g of water at 16.0 C. A second group is given the same number of 1.50 g pellets as the first group, but these are now aluminum pellets. Assume that no heat is lost to or gained from the surroundings for either group. (a) If the final equilibrium temperature of the lead pellets and water is 24.0C, how many whole pellets did the first group use in the experiment? The specific heat of lead is 0.0305 kcal/(kg . C). pellets (b) Will the final equilibrium temperature for the second group be higher, lower, or the same as for the first group? The specific heat of aluminum is 0.215 kcal/(kg . .C). O higher O lower O the same (c) What is the equilibrium temperature of the aluminum and water mixture for the second group? OC

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