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DOE-HDBK-3010-94
7.0 Application Examples; Reduction Line Example
initial baseline for evaluating the process-specific context of the explosive hazard.
Seriously contemplating a detonation involving all 37 g of hydrogen would be
inappropriate, as discussed below.
At an ambient temperature of 27 oC, one mole of hydrogen gas ideally occupies a
volume of 24.5 l, and 18.5 moles would occupy ~ 450 l. Allowing for 25%
equipment occupancy, the gas volume of the reduction glovebox is 30,600 l. The
dispersed hydrogen concentration is therefore 1.5% by volume. The lower
flammability limit of hydrogen is 4.0%. Accordingly, even if the reduction glovebox
had an air atmosphere, the possibility of a detonation in the glovebox volume is
essentially nonexistent. Even attaining a localized concentration to support a small
deflagration in the glovebox volume is dubious.
The same basic examination can be applied to the maintenance room for this
operation, where calcium metal is stored. A maximum of 9 kg (226 moles) of
calcium, the amount needed for processing the output of hydrogen fluoride from one
entire production cycle, is allowed in the storage locker. To completely react all of
this calcium would require 552 moles of water (8 l) and would generate 226 moles of
hydrogen (5500 l at 27 oC). Discounting space occupied by equipment, the overall
maintenance room volume is at least 170,000 l. The dispersed hydrogen
concentration is therefore 3.2%. Exceeding 4% would not have been of major
significance, but the inability to do so under such an extreme set of assumptions again
indicates that a large hydrogen deflagration in the room is very unlikely.
For the sake of example, the reduction glovebox is assumed to have an air
atmosphere, as opposed to a nitrogen atmosphere, and a localized hydrogen
accumulation above the lower flammable limit is assumed. The demarcation point for
ARF and RF values for deflagrations occupying less than 25% of the available free
gas volume is 0.17 MPag (25 psig). Glovebox confinement would easily fail well
below this value, but it is also not even physically attainable from a grossly
conservative calculation.
The combustion of 18.5 moles of hydrogen (68,317 cal/mole) yields 1.3E+6 calories.
At 27 oC, the remaining 30,100 liters of gas space holds ~ 1230 moles of air, or
35,600 g. The constant volume heat capacity of air is ~ 0.17 cal/g oC. The heat
liberated by the combustion of all the hydrogen that can be generated from complete
reaction of a calcium charge therefore theoretically raises gas temperature by 215 oC.
Using the ideal gas law, this temperature increase would only raise the glovebox
pressure to 0.07 MPag (10.5 psig).
Page 7-58


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