Theory of the Fireball

Now the approximate relation between internal energy and temperature is
given by Gilmore,” Fig. 5, viz.,*
*
using p = from (3.3) and setting y’ = 1.18, which is a reasonable
4
where T ’ is the temperature in units of 10 degrees.
average (see Table 11) we may rewrite (3.13) :
where p is the pressure in bars. Since H is proportional to E, (3.12)
and (3.14) give
%e thermodynamic relation
@) = T (g) - P
T V
leads to a relation between y - 1 and the exponents in the relation
-x y
E=& T
Since we have chosen y = 1.18 and y = 1.5 this relation gives x = 0.09.
This is in sufficient agreement with x = 0.1 as used in (3.13) .