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.
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.
Solution Summary: The author explains the conversion of EER to the dimensionless form.
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.
A house’s electricity use, over a one day period, is modelled by E(t) = t + sin(t) (kW), where t is in hours. What is cumulative energy consumption of the household over the period, approximately? Include units.
A particular frost-free refrigerator uses about 720 kWh of electrical energy per year.
Express this amount of energy in joules (J).
Express this amount of energy in kilojoules (kJ).
2.26. The Prandtl number, Npr, is a dimensionless group important in heat-transfer calculations. It is defined
as Cpulk, where C, is the heat capacity of a fluid, u is the fluid viscosity, and k is the thermal conductivity.
For a particular fluid, C, = 0.583 J/(g-°C), k = 0.286 W/(m-°C), and u = 1936 lbm/(ft-h). Estimate the
%3D
value of Npr without using a calculator (remember, it is dimensionless), showing your calculations; then
determine it with a calculator.
Chapter 22 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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