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Air enters into an engine cylinder at a pressure of 100 kPa and temperature of 300 K in the suction stroke of an ideal Otto cycle. The cylinder clearance volume is 600 cm3 and compression ratio is 8:1. The expansion stroke of the cycle is polytropic in nature. The pressure at the beginning of the expansion stroke is 10 MPa and the temperature at the end of the expansion stroke is 1800 K. The polytropic exponent of the expansion stroke is .?
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Air enters into an engine cylinder at a pressure of 100 kPa and temper...
Given:


  • Pressure at the start of suction: 100 kPa

  • Temperature at the start of suction: 300 K

  • Cylinder clearance volume: 600 cm3

  • Compression ratio: 8:1

  • Pressure at the start of expansion: 10 MPa

  • Temperature at the end of expansion: 1800 K



Calculations:


  • Volume at the end of suction stroke: V1 = Vclearance = 600 cm3

  • Volume at the end of compression stroke: V2 = V1/r = 600/8 = 75 cm3

  • Pressure at the end of compression stroke: P2 = r x P1 = 8 x 100 = 800 kPa

  • Temperature at the end of compression stroke: T2 = T1 x rγ-1 = 300 x 80.4 = 737.9 K

  • Work done in the compression stroke: Wc = Cv x (T2 - T1) = 0.717 x (737.9 - 300) = 271.6 kJ/kg

  • Heat added in the constant volume heat addition process: Qv = Cv x (T3 - T2) = 0.717 x (1800 - 737.9) = 797.9 kJ/kg

  • Pressure at the end of the constant volume heat addition process: P3 = P2 x (T3/T2)γ = 800 x (1800/737.9)1.4 = 26.42 MPa

  • Work done in the expansion stroke: We = Cp x (T4 - T3) = 1.005 x (1800 - 1127.6) = 678 kJ/kg



Polytropic Exponent:

The polytropic exponent for the expansion stroke can be calculated using the formula:

n = log(P4/P3) / log(V3/V4)

Where,


  • P4 = P3 = 26.42 MPa (pressure at the end of expansion
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Air enters into an engine cylinder at a pressure of 100 kPa and temperature of 300 K in the suction stroke of an ideal Otto cycle. The cylinder clearance volume is 600 cm3 and compression ratio is 8:1. The expansion stroke of the cycle is polytropic in nature. The pressure at the beginning of the expansion stroke is 10 MPa and the temperature at the end of the expansion stroke is 1800 K. The polytropic exponent of the expansion stroke is .?
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Air enters into an engine cylinder at a pressure of 100 kPa and temperature of 300 K in the suction stroke of an ideal Otto cycle. The cylinder clearance volume is 600 cm3 and compression ratio is 8:1. The expansion stroke of the cycle is polytropic in nature. The pressure at the beginning of the expansion stroke is 10 MPa and the temperature at the end of the expansion stroke is 1800 K. The polytropic exponent of the expansion stroke is .? for Self Help Learning 2024 is part of Self Help Learning preparation. The Question and answers have been prepared according to the Self Help Learning exam syllabus. Information about Air enters into an engine cylinder at a pressure of 100 kPa and temperature of 300 K in the suction stroke of an ideal Otto cycle. The cylinder clearance volume is 600 cm3 and compression ratio is 8:1. The expansion stroke of the cycle is polytropic in nature. The pressure at the beginning of the expansion stroke is 10 MPa and the temperature at the end of the expansion stroke is 1800 K. The polytropic exponent of the expansion stroke is .? covers all topics & solutions for Self Help Learning 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Air enters into an engine cylinder at a pressure of 100 kPa and temperature of 300 K in the suction stroke of an ideal Otto cycle. The cylinder clearance volume is 600 cm3 and compression ratio is 8:1. The expansion stroke of the cycle is polytropic in nature. The pressure at the beginning of the expansion stroke is 10 MPa and the temperature at the end of the expansion stroke is 1800 K. The polytropic exponent of the expansion stroke is .?.
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