http://www.fas.org/man/dod-101/navy/docs/es310/chemstry/chemstry.htm
Strength of Explosives
The determining factor in the conversion of the heat of explosion into mechanical work is the amount of product gases available for expansion. In the case of TNT, 10 moles of gas are produced for each mole of explosive. We can exploit this fact to make predictions about the actual explosive strength of other chemicals. This is known as the Berthelot approximation, which states that the relative explosive strength of a material (as compared to TNT on a mass basis) may be calculated on the basis of two factors:
the change in internal energy (DE) and
the amount of gas produced. If we combine these factors and put in values for our reference, TNT, we obtain:
Relative Strength (%) = 840 Dn DE /MW2
where:
Dn = the number of moles of gas per mole of explosive
DE = the heat of explosion in kJ/mol
MW = molecular weight of explosive in g/mol
The factor of 840 accounts for the units and values of DE and Dn for TNT.
Example- calculate the Berthelot relative strength for RDX
RDX: C3H6N6O6 3CO + 3H2O + 3N2
MW = 222 g/mol
Dn = 9 mol
DEf (before)= 83.82 kJ/mol
DEf (after) = 3(-111.8) + 3(-240.6) = -1057.2 kJ/mol
Therefore:
RS = 840 (9) (83.82 + 1057.2)/2222
RS = 175 %
The relative explosive strength calculated in this manner is of limited use. What is really important is the actual strength which can only be measured by experiment. There are a variety of standard tests, most of which involve a direct measurement of the work performed. Here are some example measurements for RDX:
Ballistic mortar test: 140 %
Trauzl block test: 186 %
Sand crush test: 136 %
all of which compare favorably with our Berthelot approximation.