Scientific American Supplement, No. 303, October 22, 1881

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Thecorrection accordingly is made as follows: the vacuum is first measuredas described above, then by withdrawing all the boxes except the lowest, the mercury is allowed to fall so as nearly to empty the gauge; it isthen made again to fill the gauge, and these operations are repeateduntil they amount in all to six; finally the volume and pressure are asecond time measured. Assuming the pressure to remain constant, or thatthe volumes are reduced to the same pressure, v = the original volume; v' ...= the final volume; V' = volume of air introduced by the first entry of the mercury; V = corrected volume; then V' = (v'-v)/6 V = v - [(v'-v)/6] It will be noticed that it is assumed in this formula that the sameamount of air is introduced into the gauge in the acts of entry andexit; in the act of entering in point of fact more fresh mercury isexposed to the action of the vacuum than in the act exit, which mightpossibly make the true gauge-correction rather larger than that given bythe formula. It has been found that when the pump is in constant use thegauge-correction gradually diminishes from day to day; in other words, the air is gradually pumped out of the gauge-mercury.

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