Ball-park

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If you can persuade your exhaust pipe to shove 38cc of washed-through fresh mixture back into the cylinder before the exhaust closes, you'll have a winner.
Of course even the washed-through mixure will not be 100% pure, but a long, narrow exhaust duct helps in this respect; it will provide for a small-area contact plane between the spent and the fresh gases. But while mixing is limited, the long, narrow tract offers an unfavourable ratio between duct volume and duct wall surface, thus increasing the heat transfer from the walls to the mixture.
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