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coal trade bulletin - Clpdigital.org

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THE INFLAMMABLE GASES IN MINE AIR.<br />

(CONTINUED FROM PAGE 38)<br />

that is 0.54 per cent, less than the volume according<br />

to tbe gas laws. The tine molecular volume<br />

is therefore 0.9946 of tbe volume according to the<br />

gas layvs.<br />

Rayleigh© found that at 15° C. 1 volume CO,<br />

' 1 atmosphere == 1.00279 (2 volumes CO.. X ',_<br />

atmosphere): then 23.923 liters of carbon diox­<br />

ide at 20° C. ancl 700 mm. pressure yvhen sub­<br />

jected to a pressure of 380 mm. becomes 47.846<br />

• 1.00279 == 47.980 liters. A gram-molecule of<br />

carbon dioxide should occupy 2 x 24.051 =• 48.102<br />

liters, yvhich is 0.26 per cent, below the true<br />

volume. The true molecular volume at 2o ; C.<br />

ancl 380 mm. pressure is. therefore, 0.9974 per<br />

cent, of the volume according to the gas layvs;<br />

0.26 per cent, is approximately one-half of 0.54<br />

per cent. A graph plotted through thiee points,<br />

0, 380, and 760 mm. pressure, results in a straight<br />

line. Correct molecular volumes to use in the<br />

calculation of analyses at temperatures near 20°<br />

C. and at different partial pressures of the carbon<br />

dioxide follow:<br />

True molecular volume of carbon dioxide at differ­<br />

ent partial pressures.<br />

Mm. Volume.<br />

100 0.9993<br />

200 99S6<br />

300 9980<br />

400 9972<br />

500 9965<br />

600 9958<br />

700 9951<br />

760 9946<br />

By inserting the proper value for the molecular<br />

volumes of methane and carbon dioxide in the<br />

equation<br />

the latter becomes<br />

CH4 + 20. = CO, + 2H..0<br />

0.999 CH, ->- 20.. - 0.995 CO, + 2H...0<br />

This equation is to be used yvhen gas-analysis<br />

determinations are made at a temperature of<br />

about 20 C. and the carbon dioxide produced by<br />

(ombustion in the mixture being analyzed consti­<br />

tutes between 80 and 100 per cent, of the volume<br />

found after combustion. For other partial pres­<br />

sures of carbon dioxide, tbe true molecular vol­<br />

umes can be obtained from tbe table.<br />

A mine gas mixture having the following com­<br />

iiosition was recently analyzed by the authors:<br />

Analysis of a mine gas mixture.<br />

Gas. Per cent.<br />

CO 0.30<br />

O, 2.10<br />

CH, 91.20<br />

N, 6.40<br />

THE COAL TRADE BULLETIN. 43<br />

The observed data is found in the actual deter­<br />

mination follow:<br />

C.

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