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For specified limits for the maximum and minimum temperatures, the ideal cycle with the lowest thermal efficiency is:
1. Carnot
2. Stirling
3. Ericsson
4. Otto

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Correct Answer - Option 4 : Otto

Explanation:

The efficiency of a cycle:

It is defined as the ratio of work done upon the heat supplied during a cycle. Mathematically, the efficiency of a cycle,

\(\eta = \frac{{Work\;done}}{{Heat\;supplied}}\)

Since the work done during a cycle is equal to heat supplied minus the heat rejected, the efficiency of a cycle will be expressed as

\(\eta = \frac{{Heat\;supplied - Heat\;rejected}}{{Heat\;supplied}}\)

Now, 

  • Carnot cycle, Stirling cycle, and Ericsson Cycle are totally reversible so, according to the Carnot principle, these cycles have the same efficiency when operating between the same temperature limit.
  • Otto cycle is not totally reversible, since it involves heat transfer through a finite temperature difference during the non-isothermal heat addition and heat rejection process which are irreversible. Therefore the thermal efficiency of an Otto cycle will be less as compared to the Carnot cycle, Stirling cycle, and Ericsson cycle operating between the same temperature limit.   

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