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Untitled - Sciencemadness Dot Org

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$ DTA !<br />

B<br />

L<br />

E<br />

z PYROLYW<br />

L A<br />

II ’ ’ ’ *60 ’ ’ ’ ’ L ’ ’ ’ ’ I ’<br />

TEMPERlCiURE PC,<br />

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THERMAL PROPERTIES<br />

PBX 9502<br />

2.7 Time-to- Explosion Test. All explosives decompose exothermally at<br />

temperatu:res above absolute zero. When chemical decomposition produces heat<br />

faster than it can be dissipated to the surroundings, the explosive mass self-heats to<br />

explosion. In steady-state conditions, the temperature at which a thermal explosion<br />

is produced is called the critical temperature, Tm. A relatively simple expression<br />

for the critical temperature has been derived7 in terms of the kinetic and physical<br />

parameters.<br />

where<br />

Tm = - E2 ,<br />

R InApQZE<br />

Tm2h&<br />

R = gas constant, 1.987 Cal/mole,<br />

A = radius of sphere, cylinder, or half-thickness of a slab,<br />

p = density,<br />

Q = bleat of decomposition reaction,<br />

Z = pre-exponential factor,<br />

E = activation energy,<br />

X = thermal conductivity,<br />

6 = shape factor (0.58 for infinite slabs, 2.0 for infinite cylinders, 3.32 for<br />

spheres).<br />

The LASL method for determining critical temperatures is based on a time-to-<br />

explosion test that Henkin* developed. The explosive sample, usually 40 mg, is<br />

pressed into a DuPont E-83 aluminum blasting-cap shell and covered with a hollow,<br />

skirted plug. A conical punch is used to expand the plug and apply a reproducible<br />

4OO-lb force. This plug expansion forms a positive seal and confines the sample in a<br />

known geometry. The density, which can be calculated from a sample thickness<br />

measurement, is usually about 90% of the crystal density.<br />

231

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