Chapter 2: Problem 6
Portable electric heaters are commonly used to heat small rooms. Explain the energy transformation involved during this heating process.
Chapter 2: Problem 6
Portable electric heaters are commonly used to heat small rooms. Explain the energy transformation involved during this heating process.
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Get started for freeThe lighting requirements of an industrial facility are being met by 700 40-W standard fluorescent lamps. The lamps are close to completing their service life and are to be replaced by their 34 -W high-efficiency counterparts that operate on the existing standard ballasts. The standard and high-efficiency fluorescent lamps can be purchased in quantity at a cost of \(\$ 1.77\) and \(\$ 2.26\) each, respectively. The facility operates 2800 hours a year, and all of the lamps are kept on during operating hours. Taking the unit cost of electricity to be \(\$ 0.105 / \mathrm{kWh}\) and the ballast factor to be 1.1 (i.e., ballasts consume 10 percent of the rated power of the lamps), determine how much energy and money will be saved per year as a result of switching to the high-efficiency fluorescent lamps. Also, determine the simple payback period.
An aluminum pan whose thermal conductivity is \(237 \mathrm{W} / \mathrm{m} \cdot^{\circ} \mathrm{C}\) has a flat bottom whose diameter is \(20 \mathrm{cm}\) and thickness \(0.6 \mathrm{cm} .\) Heat is transferred steadily to boiling water in the pan through its bottom at a rate of 700 W. If the inner surface of the bottom of the pan is \(105^{\circ} \mathrm{C}\), determine the temperature of the outer surface of the bottom of the pan.
A homeowner is considering these heating systems for heating his house: Electric resistance heating with \(\$ 0.12 /\) \(\mathrm{kWh}\) and \(1 \mathrm{kWh}=3600 \mathrm{kJ},\) gas heating with \(\$ 1.24 /\) therm and 1 therm \(=105,500 \mathrm{kJ},\) and oil heating with \(\$ 2.3 / \mathrm{gal}\) and \(1 \mathrm{gal}\) of oil \(=138,500 \mathrm{kJ}\). Assuming efficiencies of 100 percent for the electric furnace and 87 percent for the gas and oil furnaces, determine the heating system with the lowest energy cost.
A diesel engine with an engine volume of \(4.0 \mathrm{L}\) and an engine speed of 2500 rpm operates on an air-fuel ratio of \(18 \mathrm{kg}\) air/kg fuel. The engine uses light diesel fuel that contains 750 ppm (parts per million) of sulfur by mass. All of this sulfur is exhausted to the environment where the sulfur is converted to sulfurous acid \(\left(\mathrm{H}_{2} \mathrm{SO}_{3}\right)\). If the rate of the air entering the engine is \(336 \mathrm{kg} / \mathrm{h}\), determine the mass flow rate of sulfur in the exhaust. Also, determine the mass flow rate of sulfurous acid added to the environment if for each kmol of sulfur in the exhaust, one kmol sulfurous acid will be added to the environment.
The inner and outer surfaces of a \(5-m \times 6-m\) brick wall of thickness \(30 \mathrm{cm}\) and thermal conductivity \(0.69 \mathrm{W} / \mathrm{m} \cdot^{\circ} \mathrm{C}\) are maintained at temperatures of \(20^{\circ} \mathrm{C}\) and \(5^{\circ} \mathrm{C},\) respectively. Determine the rate of heat transfer through the wall, in \(\mathrm{W}\)
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