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Assertion (A): For a given compression ratio, the thermal efficiency of the Diesel cycle will be higher than that of the Otto cycle.
Reason(R): In the Diesel cycle, work is also delivered during heat addition.
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is not the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'D'. Can you explain this answer?
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Assertion (A): For a given compression ratio, the thermal efficiency o...
Ans. (d) For same compression ratio Otto cycle has maximum efficiency.
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Assertion (A): For a given compression ratio, the thermal efficiency o...
Assertion: For a given compression ratio, the thermal efficiency of the Diesel cycle will be higher than that of the Otto cycle.

Reason: In the Diesel cycle, work is also delivered during heat addition.

The correct answer is option 'D': A is false but R is true.

Explanation:

Understanding the Diesel and Otto Cycles:

- The Diesel cycle and the Otto cycle are two thermodynamic cycles that are commonly used in internal combustion engines.

- The Diesel cycle is used in diesel engines, while the Otto cycle is used in gasoline engines.

- Both cycles are idealized models that describe the processes that occur in the engine during a complete cycle of operation.

Comparison of Diesel and Otto Cycles:

- Both the Diesel and Otto cycles consist of four processes: intake, compression, combustion, and exhaust.

- The main difference between the two cycles is the way in which the fuel is ignited.

- In the Otto cycle, the fuel-air mixture is ignited by a spark plug, while in the Diesel cycle, the fuel is injected into the combustion chamber and ignited by the heat of compression.

Thermal Efficiency:

- The thermal efficiency of a cycle is a measure of how effectively the heat energy in the fuel is converted into useful work.

- It is defined as the ratio of the net work output to the heat input.

Analysis of the Assertion and Reason:

- The assertion states that for a given compression ratio, the thermal efficiency of the Diesel cycle will be higher than that of the Otto cycle.

- The reason given for this is that in the Diesel cycle, work is also delivered during heat addition.

- However, this reasoning is incorrect.

- In both the Diesel and Otto cycles, work is done during heat addition.

- The main difference between the two cycles is the way in which the heat addition occurs, not the presence or absence of work during this process.

- The Diesel cycle has a higher thermal efficiency compared to the Otto cycle due to its higher compression ratio.

- The higher compression ratio in the Diesel cycle allows for a higher expansion ratio, which results in a more efficient conversion of heat energy into useful work.

- Therefore, the correct answer is option 'D': A is false but R is true.
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Assertion (A): For a given compression ratio, the thermal efficiency of the Diesel cycle will be higher than that of the Otto cycle.Reason(R): In the Diesel cycle, work is also delivered during heat addition.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer?
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