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In a air standard cycle for petrol engine, alr is at 300K and 1bar is compressed until the pressure is 14 bar. Heat is added to the cycle until the pressure reaches to 38 bar. What is air standard efficiency of the cycle.?
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In a air standard cycle for petrol engine, alr is at 300K and 1bar is ...
Given data:
- Initial temperature (T1) = 300K
- Initial pressure (P1) = 1 bar
- Final pressure after compression (P2) = 14 bar
- Final pressure after heat addition (P3) = 38 bar
Assumptions:
- Air is an ideal gas with constant specific heats.
- The compression and expansion processes are reversible and adiabatic.
Calculations:
- Firstly, we need to determine the temperature and pressure at the end of compression (T2, P2) and at the end of heat addition (T3, P3) using the ideal gas equation and the specific heat ratio (γ) for air.
- The specific heat ratio (γ) for air is approximately 1.4.
- Using the relation P1*V1^γ = P2*V2^γ for the compression process, we can determine the final temperature (T2) after compression.
- Similarly, using the relation P2*V2^γ = P3*V3^γ for the heat addition process, we can determine the final temperature (T3) after heat addition.
Calculation of air standard efficiency:
- The air standard efficiency (η) of the cycle can be calculated using the formula:
η = 1 - (1 / r)^(γ-1)
where r is the compression ratio, which is given by r = V1 / V2.
Conclusion:
- By substituting the calculated values of temperatures and pressures into the efficiency formula, we can determine the air standard efficiency of the cycle.
- Initial temperature (T1) = 300K
- Initial pressure (P1) = 1 bar
- Final pressure after compression (P2) = 14 bar
- Final pressure after heat addition (P3) = 38 bar
Assumptions:
- Air is an ideal gas with constant specific heats.
- The compression and expansion processes are reversible and adiabatic.
Calculations:
- Firstly, we need to determine the temperature and pressure at the end of compression (T2, P2) and at the end of heat addition (T3, P3) using the ideal gas equation and the specific heat ratio (γ) for air.
- The specific heat ratio (γ) for air is approximately 1.4.
- Using the relation P1*V1^γ = P2*V2^γ for the compression process, we can determine the final temperature (T2) after compression.
- Similarly, using the relation P2*V2^γ = P3*V3^γ for the heat addition process, we can determine the final temperature (T3) after heat addition.
Calculation of air standard efficiency:
- The air standard efficiency (η) of the cycle can be calculated using the formula:
η = 1 - (1 / r)^(γ-1)
where r is the compression ratio, which is given by r = V1 / V2.
Conclusion:
- By substituting the calculated values of temperatures and pressures into the efficiency formula, we can determine the air standard efficiency of the cycle.
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In a air standard cycle for petrol engine, alr is at 300K and 1bar is ...
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In a air standard cycle for petrol engine, alr is at 300K and 1bar is compressed until the pressure is 14 bar. Heat is added to the cycle until the pressure reaches to 38 bar. What is air standard efficiency of the cycle.?
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In a air standard cycle for petrol engine, alr is at 300K and 1bar is compressed until the pressure is 14 bar. Heat is added to the cycle until the pressure reaches to 38 bar. What is air standard efficiency of the cycle.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In a air standard cycle for petrol engine, alr is at 300K and 1bar is compressed until the pressure is 14 bar. Heat is added to the cycle until the pressure reaches to 38 bar. What is air standard efficiency of the cycle.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a air standard cycle for petrol engine, alr is at 300K and 1bar is compressed until the pressure is 14 bar. Heat is added to the cycle until the pressure reaches to 38 bar. What is air standard efficiency of the cycle.?.
In a air standard cycle for petrol engine, alr is at 300K and 1bar is compressed until the pressure is 14 bar. Heat is added to the cycle until the pressure reaches to 38 bar. What is air standard efficiency of the cycle.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In a air standard cycle for petrol engine, alr is at 300K and 1bar is compressed until the pressure is 14 bar. Heat is added to the cycle until the pressure reaches to 38 bar. What is air standard efficiency of the cycle.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a air standard cycle for petrol engine, alr is at 300K and 1bar is compressed until the pressure is 14 bar. Heat is added to the cycle until the pressure reaches to 38 bar. What is air standard efficiency of the cycle.?.
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