A nuclear power plant is rated at 700 MW C it provides this amount of wseful power I. During oparation i the hat care is at 527°C, and the aver age temperature of the cooling water is 27° C.
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A: Given data The mass of the cube is m = 27.9 kg The initial temperature of the cube is Ti = 12°C. The…
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A: The amount of heat required to raise the temperature is Q=mcT-Ti
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Q: How much energy does a refrigerator remove from 120.0 g of water at 32.0 °C to make ice at -11.5°C ?
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- The temperature of the cold and hot reservoirs between which a Carnot refrigerator operates are 73 and 270 , respectively. Which is its coefficient of performance?A Carnot refrigerator, working between 0 and 30 is used to cool a bucket of water containing 102 m3 of water at 30 to 5 in 2 hours. Find the total amount of work needed.Check your Understanding Show that QhQh=QcQc for the hypothetical engine of Figure 4.10 The second property to be demonstrated is that all reversible engines operating between the same two reservoirs have the same efficiency. To this, stat with the two engines D and E of Figure 4.10 (a), which are operating between two common heat reservoirs at temperatures Th and Tc . First, assume that D is a reversible engine and that E is a hypothetical irreversible engine that has a higher efficiency than D. If both engines perform the same amount of work W per cycle, it follows from Equation 4.2 that QhQh . It then follows from the first law that QcQc . Figure 4.10 (a) Two uncoupled engines D and E working between the same reservoirs. (b) The engines, With D working reverse. Suppose the cycle of D is so that it operates as a refrigerator, and the two engines are coupled such that the work output of E is used to drive D, as shown in Figure 4.10(b). Since QhQh and QcQc , the net result of each cycle is equivalent to a spontaneous transfer of heat from the cold reservoir to the hot reservoir, a process second law does not allow. The original assumption must therefore be wrong, and it is impossible to construct an irreversible engine such that E is more efficient than the reversible engine D. Now it is quite easy to demonstrate that the efficiencies of all reversible engines operating between the same reservoirs are equal. Suppose that D and E are reversible engines. If they are as shown in Figure 4.10(b), the efficiency of E cannot be greater than the efficiency of D, or second law would violated. If both engines are then reversed, the same reasoning implies that the efficiency of D cannot be greater than the efficiency of E. Combining these results leads to the conclusion that all reversible engines working between same two reservoirs have the same efficiency.
- Check Your Understanding What is the efficiency of a perfect heat engine? What is the coefficient of performance of a perfect refrigerator?Many decisions are made on the basis of the payback period: the time it will take through savings to equal the capital cost of an investment. Acceptable payback times depend upon the business or philosophy one has. For some industries, a payback period is as small as 2 yeas) Suppose you wish to install the extra insulation in the preceding problem. If energy cost $1.00 per million joules and the insulation was $4.00 per square meter, then calculate the simple payback time. Take the average T for the 120-day heating season to be 15.0 .In a calorimeter of negligible heat capacity, 200 g of steam at 150 and 100 g of ice at 40 are mixed. The pressure is maintained at 1 atm. What is the final temperature, and how much steam, ice, and water are present?
- Check Your Understanding A Carnot refrigerator operates between two heat reservoirs whose temperatures 0 and 25 . (a) What is the coefficient of performance of the refrigerator? (b) If 200 J of work done on the working substance cycle, how heat per cycle is from cold reservoir? (c) How much heat cycle is discarded to the hot reservoir?An infrared heater for a sauna has a surface area of 0.050 m2 and an emissivity of 0.84. What temperature must it run at if the required power is 360 W? Neglect the temperature of the environment.A Carnot heat pump operates between 0 and 20 . How much heat is exhausted into the interior of a house for every 1.0 J of work done by the pump?
- What does the first law of thermodynamics tell us about the energy of the universe? `A 1.28-kg sample of water at 10.0 is in a calorimeter. You drop a piece of steel with a mass of 0.385 kg at 215 into it. After the sizzling subsides, what is the final equilibrium temperature? (Make the reasonable assumptions that any steam produced condenses into liquid water during the process of equilibration and that the evaporation and condensation don't affect the outcome, as we'll see in the next section.)Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her hands back and forth for a total of 20 rubs, at a distance of 7.50 cm per nub, and with an average frictional force of 40.0 N, what is the temperature increase? The mass of tissues warned is only 0.100 kg, mostly in the palms and fingers.