Lake Erie contains roughly 4.00 x 1011 m3 of water. (a) How much energy is required to raise the temperature of that volume of water from 17.2°C to 26.0°C? (Assume the density of this water to be equal to that of water at 20°C and 1 atm.) (b) How many years would it take to supply this amount of energy by using the 1,400-MW exhaust energy of an electric power plant? | yr

Lake Erie contains roughly 4.00 x 1011 m3 of water. (a) How much energy is required to raise the temperature of that volume of water from 17.2°C to 26.0°C? (Assume the density of this water to be equal to that of water at 20°C and 1 atm.) (b) How many years would it take to supply this amount of energy by using the 1,400-MW exhaust energy of an electric power plant? | yr

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 1P: On his honeymoon, James Joule traveled from England to Switzerland. He attempted to verify his idea...

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An aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)
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In 1993, the U.S. government instituted a requirement that all room air conditioners sold in the United States must have an energy efficiency ratio (EER) of 10 or higher. The EER is defined as the ratio of the cooling capacity of the air conditioner, measured in British thermal units per hour, or Btu/h, to its electrical power requirement in watts. (a) Convert the EER of 10.0 to dimensionless form, using the conversion 1 Btu = 1 055 J. (b) What is the appropriate name for this dimensionless quantity? (c) In the 1970s, it was common to find room air conditioners with EERs of 5 or lower. State how the operating costs compare for 10 000-Btu/h air conditioners with EERs of 5.00 and 10.0. Assume each air conditioner operates for 1 500 h during the summer in a city where electricity costs 17.0 per kWh.
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