Chapter 7: Problem 16
During a heat transfer process, the entropy of a system (always, sometimes, never) increases.
Chapter 7: Problem 16
During a heat transfer process, the entropy of a system (always, sometimes, never) increases.
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Get started for freeConsider the turbocharger of an internal combustion engine. The exhaust gases enter the turbine at \(450^{\circ} \mathrm{C}\) at a rate of \(0.02 \mathrm{kg} / \mathrm{s}\) and leave at \(400^{\circ} \mathrm{C}\). Air enters the compressor at \(70^{\circ} \mathrm{C}\) and \(95 \mathrm{kPa}\) at a rate of \(0.018 \mathrm{kg} / \mathrm{s}\) and leaves at 135 kPa. The mechanical efficiency between the turbine and the compressor is 95 percent ( 5 percent of turbine work is lost during its transmission to the compressor). Using air properties for the exhaust gases, determine ( \(a\) ) the air temperature at the compressor exit and ( \(b\) ) the isentropic efficiency of the compressor.
Water enters a pump steadily at \(100 \mathrm{kPa}\) at a rate of \(35 \mathrm{L} / \mathrm{s}\) and leaves at \(800 \mathrm{kPa} .\) The flow velocities at the inlet and the exit are the same, but the pump exit where the discharge pressure is measured is \(6.1 \mathrm{m}\) above the inlet section. The minimum power input to the pump is \((a) 34 \mathrm{kW}\) \((b) 22 \mathrm{kW}\) \((c) 27 \mathrm{kW}\) \((d) 52 \mathrm{kW}\) \((e) 44 \mathrm{kW}\)
The compressors of a production facility maintain the compressed-air lines at a (gage) pressure of \(700 \mathrm{kPa}\) at \(1400-\mathrm{m}\) elevation, where the atmospheric pressure is \(85.6 \mathrm{kPa}\). The average temperature of air is \(15^{\circ} \mathrm{C}\) at the compressor inlet and \(25^{\circ} \mathrm{C}\) in the compressed-air lines. The facility operates \(4200 \mathrm{h} / \mathrm{yr},\) and the average price of electricity is \(\$ 0.12 / \mathrm{kWh}\). Taking the compressor efficiency to be 0.8 the motor efficiency to be \(0.93,\) and the discharge coefficient to be \(0.65,\) determine the energy and money saved per year by sealing a leak equivalent to a 3 -mm-diameter hole on the compressed-air line.
Combustion gases with a specific heat ratio of 1.3 enter an adiabatic nozzle steadily at \(800^{\circ} \mathrm{C}\) and \(800 \mathrm{kPa}\) with a low velocity, and exit at a pressure of 85 kPa. The lowest possible temperature of combustion gases at the nozzle exit is \((a) 43^{\circ} \mathrm{C}\) \((b) 237^{\circ} \mathrm{C}\) \((c) 367^{\circ} \mathrm{C}\) \((d) 477^{\circ} \mathrm{C}\) \((e) 640^{\circ} \mathrm{C}\)
Helium gas is compressed from \(27^{\circ} \mathrm{C}\) and \(3.50 \mathrm{m}^{3} / \mathrm{kg}\) to \(0.775 \mathrm{m}^{3} / \mathrm{kg}\) in a reversible and adiabatic manner. The temperature of helium after compression is \((a) 74^{\circ} \mathrm{C}\) \((b) 122^{\circ} \mathrm{C}\) \((c) 547^{\circ} \mathrm{C}\) \((d) 709^{\circ} \mathrm{C}\) \((e) 1082^{\circ} \mathrm{C}\)
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