401 
For equilibrium of reaction 2.16, 
abi) alana (2,20) 
and 
| dere (ee (2,21) 
P ) 
where 
J 
& RT tog Ks = Fy ye (2,22) 
is the thermodynamic equilibrium constant for reaction 2.16, and 
log 7 = | eg bry g(ey- bog (1+ ze] v- 
+ (2h; JE kn re (2423) 
3. Propagation of the Kinetic Enthalpy by an Underwater Shock Wavel/ 
In this section it is our purpose to investigate the form of the 
pressure wave in water emitted by the expanding gas sphere. This wave is 
contained in the region between the gas sphere of radius a(t) and the shock 
front of radius R(t). Under the initial conditions prescribed in the fore- 
going section, a and R are coincident with ao» the radius of the intact 
charge cf explosive, at the instant t = 0, and a(t) advances with the 
velocity u(t), R(t) with the velocity U(t). Our first task is to relate 
the motion of the shock front and the form of the wave behind it to the 
motion of the gas sphere surface a(t). 
14/ See Reference 7, Section 2. 
15 
