MONATOMIC GAS : DIFFUSION, VISCOSITY, AND THERMAL CONDUCTION. 1 27 
encounters. The integration of the last equation gives us the equation of state of 
the gas, viz., 
(2T7) iVo -5/8 = constant, 
or 
(218) 
Tqj/q j/s = constant. 
We will now return to the general case of (2T3); on neglecting the difference 
between h x and h 0 , Tj and T 0 , in derivatives and products, the equation becomes 
< 2 ' 19 > 3) AU ' C “ “ -ft I” IE 
+ t 2 5 (2s + 5) v x c zx 
— Vq + A (2s + 5) V\C XZ 
by (2'18). The similar equation for the second set of molecules is 
( 2 ‘ 20 ) 
3(2 h () m 2 ) S + 1 AM 2H2s _ . 0 | 2 /o»| 
1.3.5...(2 S + 3) AU2 ° s " "“"3T +it(2S + 5) ' A 
(d) Q, = V.W,0,“. 
From (2’20), by transformation of rectangular co-ordinates, or by direct calculation, 
the equations of transfer in this case may readily be shown to have the form 
(2-21) 
3 ( 2h 0 m 1 ) s+1 A v W C 2s — 
1 . 3 . 5 ... ( 25 + 3 ) AViWi ^ 1 - 
(2-22) 
3 (2 h 0 m 2 ) s+1 a v w P 2s — 
1.3.5... (2 S + 3) AV = W “°=> - 
where 
- 3 (dv 0 dw 0 
c *--*\az + a y . 
(e) Q = C*. 
(2s + 5) v x c yz , 
(2s+ 5) v.f yi . 
By the addition of the x, y, and z equations corresponding to (2'19), (2'20), and by 
changing s to s — 1, we may obtain the following simple equations :— 
(2 ^m,)' 
1.3.5... (2s+ l) 
ACj 2 ’ = 
av_o 
a t 
(2 h 0 m 2 ) s+l 
1.3.5... (2s +1) 
AC* 
(2-23) 
