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An inventor claims that heat engine has the following specifications:
Power developed = 50 kW; Fuel burned per hour = 3 kg
Heating value of fuel =75,000 kJ per kg; Temperature limits = 627°C and 27°C
Cost of fuel = Rs. 30/kg; Value of power = Rs. 5/kWh
- a)Possible
- b)Not possible
- c)Economical
- d)Uneconomical
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
An inventor claims that heat engine has the following specifications:P...
Maximum possible efficiency 
Maximum possible Power output with this machine
So above demand is impossible.
Most Upvoted Answer
An inventor claims that heat engine has the following specifications:P...
Heat Engine Specifications
Power Developed = 50 kW
Fuel Burned per Hour = 3 kg
Heating Value of Fuel = 75,000 kJ per kg
Temperature Limits = 627°C and 27°C
Cost of Fuel = Rs. 30/kg
Value of Power = Rs. 5/kWh
Explanation
To determine if the given heat engine is possible or not, we need to calculate the efficiency of the engine using the given specifications.
First, we need to calculate the energy input from the fuel burned per hour:
Energy Input = Fuel Burned per Hour x Heating Value of Fuel
Energy Input = 3 kg x 75,000 kJ/kg
Energy Input = 225,000 kJ/hr
Next, we need to calculate the efficiency of the engine using the formula:
Efficiency = Power Developed / Energy Input
Efficiency = 50 kW / (225,000 kJ/hr)
Efficiency = 0.000222 or 0.0222%
The calculated efficiency of the engine is extremely low, which indicates that it is not possible to generate the required power output with the given fuel input.
Moreover, considering the cost of fuel and the value of power, it is also uneconomical to operate the engine.
Therefore, the correct answer is option 'B' - Not possible.
Power Developed = 50 kW
Fuel Burned per Hour = 3 kg
Heating Value of Fuel = 75,000 kJ per kg
Temperature Limits = 627°C and 27°C
Cost of Fuel = Rs. 30/kg
Value of Power = Rs. 5/kWh
Explanation
To determine if the given heat engine is possible or not, we need to calculate the efficiency of the engine using the given specifications.
First, we need to calculate the energy input from the fuel burned per hour:
Energy Input = Fuel Burned per Hour x Heating Value of Fuel
Energy Input = 3 kg x 75,000 kJ/kg
Energy Input = 225,000 kJ/hr
Next, we need to calculate the efficiency of the engine using the formula:
Efficiency = Power Developed / Energy Input
Efficiency = 50 kW / (225,000 kJ/hr)
Efficiency = 0.000222 or 0.0222%
The calculated efficiency of the engine is extremely low, which indicates that it is not possible to generate the required power output with the given fuel input.
Moreover, considering the cost of fuel and the value of power, it is also uneconomical to operate the engine.
Therefore, the correct answer is option 'B' - Not possible.
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An inventor claims that heat engine has the following specifications:Power developed = 50 kW; Fuel burned per hour = 3 kgHeating value of fuel =75,000 kJ per kg; Temperature limits = 627°C and 27°CCost of fuel = Rs. 30/kg; Value of power = Rs. 5/kWha)Possibleb)Not possiblec)Economicald)UneconomicalCorrect answer is option 'B'. Can you explain this answer?
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An inventor claims that heat engine has the following specifications:Power developed = 50 kW; Fuel burned per hour = 3 kgHeating value of fuel =75,000 kJ per kg; Temperature limits = 627°C and 27°CCost of fuel = Rs. 30/kg; Value of power = Rs. 5/kWha)Possibleb)Not possiblec)Economicald)UneconomicalCorrect answer is option 'B'. Can you explain this answer? 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 An inventor claims that heat engine has the following specifications:Power developed = 50 kW; Fuel burned per hour = 3 kgHeating value of fuel =75,000 kJ per kg; Temperature limits = 627°C and 27°CCost of fuel = Rs. 30/kg; Value of power = Rs. 5/kWha)Possibleb)Not possiblec)Economicald)UneconomicalCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inventor claims that heat engine has the following specifications:Power developed = 50 kW; Fuel burned per hour = 3 kgHeating value of fuel =75,000 kJ per kg; Temperature limits = 627°C and 27°CCost of fuel = Rs. 30/kg; Value of power = Rs. 5/kWha)Possibleb)Not possiblec)Economicald)UneconomicalCorrect answer is option 'B'. Can you explain this answer?.
An inventor claims that heat engine has the following specifications:Power developed = 50 kW; Fuel burned per hour = 3 kgHeating value of fuel =75,000 kJ per kg; Temperature limits = 627°C and 27°CCost of fuel = Rs. 30/kg; Value of power = Rs. 5/kWha)Possibleb)Not possiblec)Economicald)UneconomicalCorrect answer is option 'B'. Can you explain this answer? 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 An inventor claims that heat engine has the following specifications:Power developed = 50 kW; Fuel burned per hour = 3 kgHeating value of fuel =75,000 kJ per kg; Temperature limits = 627°C and 27°CCost of fuel = Rs. 30/kg; Value of power = Rs. 5/kWha)Possibleb)Not possiblec)Economicald)UneconomicalCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inventor claims that heat engine has the following specifications:Power developed = 50 kW; Fuel burned per hour = 3 kgHeating value of fuel =75,000 kJ per kg; Temperature limits = 627°C and 27°CCost of fuel = Rs. 30/kg; Value of power = Rs. 5/kWha)Possibleb)Not possiblec)Economicald)UneconomicalCorrect answer is option 'B'. Can you explain this answer?.
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