A typical coal-fired power plant burns 300 metric tons of coal every hour to generate 2.7 × 106 MJ of electric energy. 1 metric ton = 1000 kg; 1 metric ton of coal has a volume of 1.5 m3. The heat of combustion of coal is 28 MJ/kg. Assume that all heat is transferred from the fuel to the boiler and that all the work done in spinning the turbine is transformed into electric energy.a. Suppose the coal is piled up in a 10 m × 10 m room. How tall must the pile be to operate the plant for one day?b. What is the power plant’s efficiency?

A typical coal-fired power plant burns 300 metric tons of coal every hour to generate 2.7 × 106 MJ of electric energy. 1 metric ton = 1000 kg; 1 metric ton of coal has a volume of 1.5 m3. The heat of combustion of coal is 28 MJ/kg. Assume that all heat is transferred from the fuel to the boiler and that all the work done in spinning the turbine is transformed into electric energy.a. Suppose the coal is piled up in a 10 m × 10 m room. How tall must the pile be to operate the plant for one day?b. What is the power plant’s efficiency?

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Use energy transfers and conservation (energy interaction model
For each of the following situations: a. Choose an initial and final state (states A and B) that will be appropriate (interesting) for analysis. b. If there is not already a physical diagram of the situation and there should be one for proper analysis, include one. c. Construct a system schema of the situation. Do not forget to include the system boundary for the system specified by the problem. Choose your system wisely. d. Construct an energy bar chart and system flow diagram (LOL plots) for each problem. e. You are allowed to add other energy storage modes. You do not have to use the energy storage modes that are printed in each LOL plot. f. Find the unknown value.
A certain coal-fired power plant has a rated power capacity of P = 960 MW. The output of this plant is W = 0.39QH, where QH is the energy input as heat from the hot reservoir. a. Write an equation for the efficiency of a heat engine in terms of QH and the heat QC exhausted to a low-temperature reservoir. b. Which would increase the efficiency more, doubling QH or reducing QC by half? c. Calculate the maximum thermal efficiency of the power plant. d. Calculate the absolute value of the exhausted heat (QC) each second in MJ for the power plant.
A power plant has been proposed that would make use of the temperature gradient in the ocean. They system is to operate between 24.0°C (surface water temperature) and 4.95°C (water temperature at a depth of about 1 km). a. What is the maximum efficiency of such a system? Describe the process that would be used to get this maximum efficiency. b. If the useful power output of the plant is 80.0 MW, how much energy is absorbed per hour?
A heat engine that operates on a Carnot cycle between 150 °C and 10 °C is used to accelerate a flywheel from rest to a rotational speed of 8.50 s¹. The 1100-kg flywheel is a solid uniform cylinder that rotates about its long central axis without appreciable friction. Its diameter is 1.00 m, and it is 750 mm long. Part A How much thermal energy must be transferred into this engine to accelerate the flywheel to the desired rotational speed? Express your answer with the appropriate units. Qin Part B μÀ Submit Request Answer Value Qout = μÁ Units How much of this thermal energy is wasted in the process? Express your answer with the appropriate units. Value www. Units ? www. ?
Consider a heat engine transferring energy from a warm region (Tw) to a cool region (Tc) . Which combination of temperatures will result in the highest efficiency? a. Tw = 500 K, Tc = 400 K b. Tw = 500 K, Tc = 300 K c. Tw = 500 K, Tc = 450 K d. Tw = 300 K, Tc = 300 K
86. D A lawnmower engine with an efficiency of 0.22 rejects 9900 J of heat every second. What is the magnitude of the work that the engine does in one second?
A 39% maximum efficient coal-fired power plant needs to produce 600 MW of power. A. To achieve maximum efficiency, if the waste water is dumped into a 13 degree Celsius lake, what temperature must the steam be heated to? B. Since coal contains 27 kJ of energy per gram, how many kg of coal must be burned in a day?
STEP 2. In the previous activity you also considered a situation in which a person turned a generator, which in turn lit a bulb. The G/R diagram for this situation is shown below, with a dashed box showing a system consisting of the person, generator, bulb, light receivers and the surroundings. The appropriate values for energy transfers and changes are also shown. Increase in TE +40 J Increase in TE +16 J Increase Heat Interactions in TE Surroundings Energy 40 J +132.5 J Heat Interactions Person Surroundings Energy 16 J Energy 160 J Heat Interactions Generator (90%) Energy 132.5 J Surroundings Contact Push/Pull Energy Interaction 144 J Bulb Decrease in CPE (8%) Energy 11.5 J Electric Circuit -200 J Interaction Light Receivers Light Interaction Increase in energy +11.5 J For the example in STEP 1 we wrote this more general statement of conservation of energy. Let us check if it applies to this case also. Energy transferred into the system Total change in energy of the interacting…
Over the course of a day, 4.0 kg of water evaporates from the leaves of a corn plant.a. How much energy is required to evaporate the water? (Assume that the temperature of the leaves is 30°C.)b. If the plant is active for 12 hours, how much power does this correspond to? You can think of this as the necessary power to drive transport in the plant.
How much work is needed to lift a bag of groceries that weighs 250N to a height of 4m? A. 1000 Calorie B. 1000 J C. 1000 N D. 1000 kJ
A crate of fruit with a mass of 40.0 kg and a specific heat capacity of 3550 J/(kg. K) slides 9.00 m down a ramp inclined at an angle of 40.0 degrees below the horizontal. Part A If the crate was at rest at the top of the incline and has a speed of 2.55 m/s at the bottom, how much work Wf was done on the crate by friction? Use 9.81 m/s² for the acceleration due to gravity and express your answer in joules. ► View Available Hint(s) Wf = -2140 J Submit Correct The frictional force opposes the motion of the crate, so the work done on the crate by friction must be a negative quantity. Part B Previous Answers If an amount of heat equal to the magnitude of the work done by friction is absorbed by the crate of fruit and the fruit reaches a uniform final temperature, what is its temperature change AT? ► View Available Hint(s) AT = ΑΣΦ W