Q12 In an Otto cycle air at (15 °C) and (1.05 bar) is compressed adiabatically untilthe pressure is (13 bar). Heat is added at constant volume until the pressure rises to23(35 bar). Calculate (a) the compression ratio. (b) air standard efficiency. (c) meaneffective pressure for the cycle. Take Cv = 0.717 Kj/Kg.K and R = 0.293 Kj/Kg.K.Answers: (a) 16 (b) 51.1 % (c) 550.6KN/m²

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Answered: Q12 In an Otto cycle air at (15 °C) and…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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In an air standard brayton cycle, air enters the compressor at 27 degree C and 100 kPa. The pressure ratio is 10, and the maximum allowable temperature is 1350 K. the compressor and turbine efficiencies are 85%, and pressure drops 27 kPa between the compressor discharge and turbine inlet. Determine the pressure and temperature at each state in the cycle, the compressor and turbine work, and the cycle thermal efficiency. Please show the PV and TS diagram. Please show complete formulas and solutions.
The state at the beginning of compression of an air-standard Diesel cycle is fixed by p₁ = 100 kPa and T₁ = 310 K. The compression ratio is 18 and the cutoff ratio is 1.9. Determine: (a) the maximum temperature, in K. (b) the pressure at the end of the expansion, in kPa. (c) the net work per unit mass of air, in kJ/kg. (d) the percent thermal efficiency.
At the beginning of the compression process of an air-standard Diesel cycle, p₁ = 95 kPa and T₁ = 300 K. The maximum temperature is 2100 K and the mass of air is 12 g. For a compression ratio of 18, determine: (a) the net work developed, in kJ. (b) the percent thermal efficiency. (c) the mean effective pressure, in kPa.
Air at 100 kPa, 37°C enters an ideal Otto cycle. The peak pressure and temperature in the cycle are 4.6MPa and 1927 °C, respectively. The compression ratio is 6.414. Using an air-standard analysis, determine: a. The internal energy at each part of the cycle: U₁ = U₂ = Uz = U4 = b. the net work per unit mass b. the cycle thermal efficiency= = kJ/kg kJ/kg kJ/kg kJ/kg kJ/kg
At the beginning of the compression process of an air-standard Otto cycle, p1 = 100 kPa, T1 = 290 K, V1 = 400 cm3. The maximum temperature in the cycle is 2200 K and the compression ratio is 8. Determine the (a) thermal efficiency; and (b) mean effective pressure, in bar. (c) Solve on a cold air-standard basis with constant specific heats.
Refer to the following figure for an Air Standard Otto Cycle. At the beginning of compression stroke: • Volume is 0.45 m³; • Pressure is 1 bar; and • Temperature is 30°C; At the end of the compression stroke: • Pressure is 11 bar; 210 kJ of heat is added at constant volume. Assuming the cycle is reversible. T(K) = 273 +T(°C); Determine the following to the approximation. • Pressures at point 4 bar • Swept Volume= m • Maximum Temperature of the cycle = °C • Net work output of the cycle = kJ • Heat Rejected from the cycle = kJ • Thermal efficiency of the cycle = • Mean Effective Pressure = bar % p (bar) 21.48 11 V₁ = 0.45 m³ Adiabatics → V (m³)
Air enters the compressor of an ideal gas turbine (ideal air-standard Brayton cycle) at 298 K and 0.1 MPa. The compression ratio is 6, and the maximum temperature of the cycle is 973 K. Use Cp = 3.5R. Determine: (a) the net work (kJ/kg).(b) the cycle thermal efficiency.There are two answers: (a) and (b).
Air enters the compressor of an ideal air-standard Brayton cycle at 88 kPa, 280 K, with a volumetric flow rate of 1225 m3/s. The compressor pressure ratio is 12. The turbine inlet temperature is 1225 K. Take Specific heat at constant pressure and constant volume for air as 1.006 kJ/kg K and 0.717 kJ/kg K respectively. Calculate the thermal efficiency of the plant to one decimal place and include the correct unit (percentage). Use cold air standard assumption
3The rate of heat addition to an ideal air-standard Brayton cycle is 1.0 x 107 Btu/h. The pressure ratio for the cycle is 12 and the minimum and maximum temperatures are 520°R and 2800°R, respectively.Determine:(a) the percent thermal efficiency of the cycle.(b) the mass flow rate of air, in lb/h.(c) the net power developed by the cycle, in hp.
In an Otto cycle air at 27 degree centigrade and 1 bar is compressed adiabatically to 12bar. Heat addition occurs at constant volume and pressure rises to 30bar. Determine the air standard efficiency, compression ratio. Assume Cv= 0.717 KJ/kgK for air.
Air enters the compressor of an ideal air-standard Brayton cycle at 100 kPa, 283 K, with a volumetric flow rate of 5 m3/s. The compressor pressure ratio is 8:1. The turbine inlet temperature is 1400 K. Take Specific heat at constant pressure and constant volume for air as 1.006 kJ/kg K and 0.717 kJ/kg K respectively. Calculate the compressor exit absolute temperature to one decimal place and place the correct unit. Use the cold air-standard assumption.
An air-standard cycle consists of the following processes: (i) isentropic compression from 15°C, 1.01 bar through a compression ratio of 5:1. (ii) heat addition at constant volume of 2600 kJ/kg. (iii) reversible adiabatic expansion to the initial volume. heat rejection isochorically. (iv) For air take R = 0.287 kJ/(kg:K) and cp = 1.005 kJ/(kg K). Sketch the cycle on P-v and T-s diagrams, and calculate its ideal efficiency, mean effective pressure and peak pres- sure. Take the start of isentropic compression as state point 1. Now the cycle above is modified in two ways so the heat is added, i.e., (a) isobarically, and (b) half isochorically and half isobarically. Take the start of isentropic compression in both the cases as state point 1. Compression ratio is increased so as to follow the same peak pressure as before. Now sketch these two cycles on both P-v and T-s diagrams, and calculate their ideal efficiencies and mean ef- fective pressures. The values of R and cp remain the same.

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