Scientific Papers

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Scientific Papers
Peter Guthrie Tait
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168 ON THE FOUNDATIONS OF THE KINETIC THEORY OF GASES. [lXXVUL If Gs be the oorresponding mass of the second gas, we have (noting that, by (1), ^' = -P,(iiA+ih',C,/3) (4).
From the definitions of the quantities Gi, Gt, we have also (5).
47. We have now to form the equations of motion for the layers of the two gases contained in the section of the tube between x and x + &r. The increase of momentum of the P, layer is due to the difference of pressures, behind and before, caused by P/s; minus the
... resistance due to that portion of the impacts of some of the P,'s against P,'s in the section itself, which depends upon the relative speeds of the two systems, each as a whole. This is a small quantity of the order the whole pressure on the surfaces of the particles multiplied by the ratio of the speed of translation to that of mean square. The remaining portion (relatively very great) of the impacts in the section is employed, as we have seen, in maintaining or restoring the "special state" in each gas, as well as the Maxwell condition of partition of energy between the two gases.

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