Ethanol Boom Kills \(T_{boom}\)

We have data for Ethanol, \(CH_3CH_2OH\) of molar mass \(M_m=46.06844*10^{-3}\,kgm^{-3}\) and \(Z=2*6+6*1+1*8=26\) using,

\(v_{boom}=3.4354*\cfrac{density}{26}\)  and

\(T_{boom}=v^2_{boom}*\cfrac{M_m}{3R}\)

\(R=8.3144\) is the gas constant.

\(n=\cfrac{Temp}{T_{boom}}\)

Temp (K)	Densityx10^3 (kg/m3)	v boom (m/s)	T boom (K)	n
313.15	0.77244	102.063	19.239	16.277
312.15	0.77329	102.175	19.282	16.189
311.15	0.77414	102.288	19.324	16.102
310.15	0.77500	102.401	19.367	16.014
309.15	0.77585	102.514	19.410	15.928
308.15	0.77671	102.627	19.453	15.841
307.15	0.77756	102.740	19.495	15.755
306.15	0.77841	102.852	19.538	15.670
305.15	0.77927	102.966	19.581	15.584
304.15	0.78012	103.078	19.624	15.499
303.15	0.78097	103.190	19.667	15.415
302.15	0.78182	103.302	19.709	15.330
298.15	0.78522	103.752	19.881	14.997
297.15	0.78606	103.863	19.924	14.914
296.15	0.78691	103.975	19.967	14.832
295.15	0.78775	104.086	20.009	14.750
294.15	0.78860	104.198	20.053	14.669
293.15	0.78945	104.311	20.096	14.588
292.15	0.79029	104.422	20.139	14.507
291.15	0.79114	104.534	20.182	14.426
290.15	0.79198	104.645	20.225	14.346
289.15	0.79283	104.757	20.268	14.266
285.15	0.79620	105.203	20.441	13.950
284.15	0.79704	105.314	20.484	13.872
283.15	0.79788	105.424	20.527	13.794
282.15	0.79872	105.535	20.571	13.716
281.15	0.79956	105.646	20.614	13.639
280.15	0.80039	105.756	20.657	13.562
279.15	0.80123	105.867	20.700	13.485
278.15	0.80207	105.978	20.744	13.409
277.15	0.80290	106.088	20.787	13.333
276.15	0.80374	106.199	20.830	13.257

\(n\ne2\) as temperature decreases (compared with data for water).  There are no extremas.

Ethanol has a flash point at \(289\,K\) and auto-ignite at \(638\,K\)

But methoxymethane \(CH_3OCH_3\), with density \(2.1146\,kgm^{-3}\) a gas at \(273.15\,K\) and the same \(Z=26\) and molar mass, \(M_m=46.06844*10^{-3}\,kgm^{-3}\),

\(v_{boom}=3.4354*\cfrac{2.1146}{26}=0.279\,ms^{-1}\)  and

\(T_{boom}=v^2_{boom}*\cfrac{46.06844*10^{-3}}{3*8.3144}=1.441*10^{-4}\,K\)

Methoxymethane has a flash point at \(232\,K\) and auto-ignite at \(623\,K\).  Methoxymethane does not form hydrogen bonds.

If \(T_{boom}\) is valid methoxymethane gas is nuclear at around \(1.441*10^{-4}\,K\) and resist further cooling at this temperature.

\(T_{boom}\) invoke Kinetic Theory for ideal GAS but seems valid only when density does not varies much with temperature as in a SOLID.

Maybe \(T_{boom}\) is about \(T\) particles that move freely in the solid or liquid.  It is valid only within the confine of a solid or liquid.  In a gas that is a mix of air and (as in the example above) Methoxymethane, a different approach is needed.

We need data of solid that burns, its density and auto-ignition temperature.