In a solar water heater, energy from the Sun is gathered by water that circulates through tubes in a rooftop collector. The solar
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- If a gas is compressed isothermally, which of the following statements is true? (a) Energy is transferred into the gas by heat. (b) No work is done on the gas. (c) The temperature of the gas increases. (d) The internal energy of the gas remains constant. (e) None of those statements is true.arrow_forwardYou are working on a summer job at a company that designs non-traditional energy systems. The company is working on a proposed electric power plant that would make use of the temperature gradient in the ocean. The system includes a heat engine that would operate between 20.0C (surface-water temperature) and 5.00C (water temperature at a depth of about 1 km). (a) Your supervisor asks you to determine the maximum efficiency of such a system. (b) In addition, if the electric power output of the plant is 75.0 MW and it operates at the maximum theoretically possible efficiency, you must determine the rate at which energy is taken in from the warm reservoir. (c) From this information, if an electric bill for a typical home shows a use of 950 kWh per month, your supervisor wants to know how many homes can be provided with power from this energy system operating at its maximum efficiency. (d) As energy is drawn from the warm surface water to operate the engine, it is replaced by energy absorbed from sunlight on the surface. If the average intensity absorbed from sunlight is 650 W/m2 for 12 daylight hours on a clear day, you need to find the area of the ocean surface that is necessary for sunlight to replace the energy absorbed into the engine. (e) From this information, you need to determine if there is enough ocean surface on the Earth to use such engines to supply the electrical needs for all the homes associated with the Earths population. Assume the energy use for a home in part (c) is an average over the entire planet. (f) In view of your results in this problem, your supervisor has asked for your conclusion as to whether such a system is worthwhile to pursue. Note that the fuel (sunlight) is free.arrow_forwardA coal power plant consumes 100,000 kg of coal per hour and produces 500 MW of power. If the heat of combustion of coal is 30 MJ/kg, what is the efficiency of the power plant?arrow_forward
- A multicylinder gasoline engine in an airplane, operating at 2.50 103 rev/min, takes in energy 7.89 103 J and exhausts 4.58 103 J for each revolution of the crankshaft. (a) How many liters of fuel does it consume in 1.00 h of operation if the heat of combustion of the fuel is equal to 4.03 107 J/L? (b) What is the mechanical power output of the engine? Ignore friction and express the answer in horsepower. (c) What is the torque exerted by the crankshaft on the load? (d) What power must the exhaust and cooling system transfer out of the engine?arrow_forwardA refrigerator has 18.0 kJ of work clone on it while 115kJ of energy is transferred from inside its interior. What is its coefficient of performance? (a) 3.40 (b) 2.80 (c) 8.90 (d) 6.40 (e) 5.20arrow_forwardAssume that the efficiency of the portable solar panel shown in the figure is 19%.(a)(a)What is the amount of solar radiation required to provide rated output power?(b)(b)The camper connects the panel to a hot water heater in a 1L water container in sunlight according to (a). How long does it take to raise the temperature of this water from 1 degree Celsius to 100 degrees Celsius? Suppose there is no heat loss.arrow_forward
- The “Energy Guide” label on a washing machine indicates that the washer will use $85 worth of hot water per year if the water is heated by an electric water heater at an electricity rate of $0.113/kWh. If the water is heated from 12 to 55°C, determine how many liters of hot water an average family uses per week. Disregard the electricity consumed by the washer, and take the efficiency of the electric water heater to be 91 percent.arrow_forwardSolar energy is used for air conditioning a house. To maintain a pressurized water tank at 443 K solar radiation is allowed. At a particular time interval, 301kJ of heat is extracted from the house to maintain its temperature at 301K when the surroundings temperature is 310K. Consider the tank of water, the house and the surroundings as heat reservoirs, what is the minimum heat (in kJ ,2 decimal places) that must be extracted from the tank of water by any device built to accomplish the required cooling of the house. No other sources of energy are available.arrow_forwardAt winter design conditions, a house is projected to lose heat at a rate of 60,000 Btu/h. The internal heat gain from people, lights, and appliances is estimated to be 6000 Btu/h. If this house is to be heated by electric resistance heaters, determine the required rated power of these heaters in kW to maintain the house at constant temperature.arrow_forward
- Compressed air can be pumped underground into huge caverns as a form of energy storage. The volume of a cavern is 6.3 x 105 m³, 5 and the pressure of the air in it is 7.4 × 106 Pa. Assume that air is a diatomic ideal gas whose internal energy U is given by U = nRT. If one home uses 30.0 kWh of energy per day, how many homes could this internal energy serve for one day?arrow_forwardProblem 2: This problem compares the energy output and heat transfer to the environment by two different types of nuclear power stations—one with the normal efficiency of 36 %, and another with an improved efficiency of 47 %. Suppose both have the same heat transfer into the engine in one day, 2.5 × 1014 J Part (a) How much more electrical energy is produced by the more efficient power station? Part (b) What is the change in the heat transfer to the environment after the upgrade to the more efficient power station?arrow_forwardHow much heat transfer occurs to the environment by an electrical power station that uses 1 25x1014 J of heat transfer into the engine with an efficiency of 100 0%? O 0625 x 1014 J 0625 x 1014 J O 625 x 1014 J ODJarrow_forward
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