295 
r | v(l—e 2 (Coa Gee 
- b"'y Bebi ots x) ( —é) 4 
1--b'1—t v—b (2—a)* 2 — (2—r) (1 4 2) b 
In ideal substances, where 6’ =0,6"—0O, the equation would 
become: 
an Ks « (le) v 8 — 9w IL da’ 
v—b oe x)? ee (2—: v)? 
identical with what we have already derived. (Arch. Trrrer and 
these Proc; loc. cit). 
Mer Osor 1 we get: 
EE ee 
=o! v—bh 
and this too is a known result (These Proc., loc. cit), which with 
ieee 
Dr Or *b' = Oe reduces to 3=2 = Les Ve be 
Yv— 
We shail now reduce the above equation (a) still somewhat. 
When we divide by (2 —a)e’, we get the following form (see below 
for the meaning oft): 
1 
(1p. (2- ee 
si Zelle) A el I-a?)(1-B) AY] pags |, AE 
oe A HEE Laden 
| | ‚De nnee 
is _b') (rn) i a Sc 
Tib 2—a a 2—-«% je (La) A 
Sg 
(2—2) oles x) (L—B’) (1 DE) 
uv (l-a 2 w?-4a42 AN? 
ae ee ee) (2-2) (I- ne serie bi 
A v Aa 
i hiel == 8 . 
in which — En When we now put 
A «ls S40 Tas € aa 
(l+.21—s)—=o0 ; aw eis : ae) = t. 
at 2e «a (2— wx) (le) (1—6)) 
so that o = toe, the above becomes: 
| (I—o)? bv 
3 (1 — 2 = 
ete 
—_4rJ-2 
op gg 
1—o ce 5). (1—b') 
b')) 2 (1—o) — a (1—a) 1—o  (2—#)(14+-2)(1—b'(1—1) 
or 
