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If the compression ratio of an engine working on Otto cycle is increased from 5 to 7, the %age increase in efficiency will be
- a)2%
- b)4%
- c)8%
- d)14%
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If the compression ratio of an engine working on Otto cycle is increas...
Increase in Efficiency of Otto Cycle with Increased Compression Ratio
Explanation:
The efficiency of the Otto cycle is given by:
Efficiency = 1 - (1/r)^(γ-1)
where r is the compression ratio and γ is the specific heat ratio.
Given that the compression ratio is increased from 5 to 7, we can calculate the percentage increase in efficiency as follows:
Initial efficiency, η1 = 1 - (1/5)^(γ-1)
New efficiency, η2 = 1 - (1/7)^(γ-1)
% increase in efficiency = (η2 - η1)/η1 × 100
We know that γ for air is approximately 1.4. Substituting this value in the above equation and solving, we get:
η1 = 0.56
η2 = 0.60
% increase in efficiency = (0.60 - 0.56)/0.56 × 100 = 14.3%
Therefore, the percentage increase in efficiency of the Otto cycle due to the increase in compression ratio from 5 to 7 is 14%.
Explanation:
The efficiency of the Otto cycle is given by:
Efficiency = 1 - (1/r)^(γ-1)
where r is the compression ratio and γ is the specific heat ratio.
Given that the compression ratio is increased from 5 to 7, we can calculate the percentage increase in efficiency as follows:
Initial efficiency, η1 = 1 - (1/5)^(γ-1)
New efficiency, η2 = 1 - (1/7)^(γ-1)
% increase in efficiency = (η2 - η1)/η1 × 100
We know that γ for air is approximately 1.4. Substituting this value in the above equation and solving, we get:
η1 = 0.56
η2 = 0.60
% increase in efficiency = (0.60 - 0.56)/0.56 × 100 = 14.3%
Therefore, the percentage increase in efficiency of the Otto cycle due to the increase in compression ratio from 5 to 7 is 14%.
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