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An inventor states that his new conceptual engine, while operating between temperature limits of 377oC and 27oC, will reject 50% of heat absorbed from the source. What type of cycle will this engine have?
  • a)
    Carnot cycle
  • b)
    Stirling cycle
  • c)
    Impossible cycle
  • d)
    Possible cycle
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
An inventor states that his new conceptual engine, while operating bet...
Possible Cycle for New Conceptual Engine

Given the temperature limits of 377oC and 27oC and the fact that the engine will reject 50% of heat absorbed from the source, it is clear that the engine will not follow the Carnot or Stirling cycle. This is because both of these cycles are ideal and have 100% efficiency, which means they do not reject any heat.

Possible Cycle Explanation

The new conceptual engine will have a possible cycle, which means that it will not be ideal and will have some inefficiencies. The following are the possible reasons for this:

- The engine may not be able to maintain a constant temperature difference between the hot and cold reservoirs, which is necessary for the Carnot cycle.
- The engine may have internal losses due to friction, which is not considered in ideal cycles.
- The engine may have other losses due to imperfect combustion, heat transfer, or other factors.

Conclusion

In conclusion, the new conceptual engine will have a possible cycle due to its inefficiencies and inability to follow the ideal Carnot or Stirling cycle. However, it may still be able to provide some useful work by converting some of the absorbed heat into mechanical energy.
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Community Answer
An inventor states that his new conceptual engine, while operating bet...
An inventor claims that his new engine, operating between temperatures of 377°C and 27°C, will reject 50% of the heat absorbed. To verify this claim, we convert these temperatures to Kelvin and compare the efficiency to the theoretical maximum provided by the Carnot cycle.
Temperature Conversion
  • Source temperature, T1 = 377°C = 650.15 K
  • Sink temperature, T2 = 27°C = 300.15 K
Carnot Cycle Efficiency
The efficiency of a Carnot cycle, which is the theoretical limit for any heat engine operating between two temperatures, is calculated as follows:
ηCarnot = 1 - (T2 / T1)
ηCarnot = 1 - (300.15 / 650.15) ≈ 53.8%
This means the Carnot cycle would reject about 46.2% of the heat absorbed, indicating the theoretical maximum efficiency.
Inventor's Engine Efficiency
The inventor's engine has a claimed efficiency:
ηInventor's Engine = 1 - 0.50 = 50%
This efficiency is less than the Carnot efficiency but still within realistic bounds, as no engine can surpass the Carnot cycle's efficiency for the same operating temperatures.
Assessment of Engine Type
  • A: Carnot Cycle - Not exactly since this engine has lower efficiency.
  • B: Stirling Cycle - A possibility, but specifics are unknown.
  • C: Impossible Cycle - Not applicable since the efficiency does not exceed Carnot.
  • D: Possible Cycle - Most appropriate choice given the efficiency is realistic and does not violate thermodynamic laws.
Conclusion: The correct assessment of the inventor's engine is D: Possible Cycle.
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An inventor states that his new conceptual engine, while operating between temperature limits of 377oC and 27oC, will reject 50% of heat absorbed from the source. What type of cycle will this engine have?a)Carnot cycleb)Stirling cyclec)Impossible cycled)Possible cycleCorrect answer is option 'D'. Can you explain this answer?
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