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The internal combustion engines in today’s cars operate on the Otto cycle. The efficiency...

The internal combustion engines in today’s cars operate on the Otto cycle. The efficiency of this cycle,  as derived in this chapter, depends on the compression ratio, . Increasing the efficiency of an Otto engine can be done by increasing the compression ratio. This, in turn, requires fuel with a higher octane rating, to avoid self- ignition of the fuel-air mixture. The following table shows some octane ratings and the maximum compression ratio the engine must have before self-ignition (knocking) sets in.

Octane Rating of Fuel

Maximum Compression Ratio Without Knocking

91

8.5

93

9.0

95

9.8

97

10.5

Calculate the maximum theoretical efficiency of an internal combustion engine running on each of these four types of gasoline and the percentage increase in efficiency between using fuel with an octane rating of 91 and using fuel with an octane rating of 97.

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