Scientia Sinica

No. 1 LU: VOLUME VISCO_ELASTIC TIHEORY OF FLUIDS 45

still sufficiently slow relative to thermal adjustment. Thus, the adiabatic compressibilities become now vat .

By = Biv and Ba= Priya. (37)

Let C’ be the partial heat capacity resulting from the chemical reaction. Denote C2—C® by A, which will be a small quantity in the case of liquids. Then, we have

C= GG

p p ; (38) C=C) Ne

where we have neglected the small difference between C, and C,, this being

obviously justified in the case of liquids. Substituting these in (37), we have

o = Br (Cp — A)/Cp, (39)

Bo = Br (Cp — A —C’)/(Cp —C’). (40)

Substituting (39) and (40) into that part of equation (23) of reference [2]

which expresses that part of amplitude coefficient of absorption due to volume viscosity alone, viz.,

eS WwW t2 Bo = Be 260 Bb + BL wt w* T2 Bo — Be = ao 41 2v By + Ba w? 3’ (41) we get a wT BY(Co—A) (Cp—C’) —Br Cp(Cp—A—C’) (42)

for the amplitude absorption coefficient due to volume viscosity arising from chemical reaction. The numberator of the last fraction may be written

(pt-pt) c,[¢,—(a +c) | + Btc'a.

Since in the case of a liquid, it is expected that Gre Gum,

this is approximately (6% — Br) C3 + BEC’ A.