Cont'd from the previous post "Doing Things In The Cold" dated 12 Sep 2018, as we calculate boom \(T_{boom}\) and \(T_{p}\) temperature values for iron within a volume of ferrosilicon \(Si\,35\%\);
\(\rho_{Fe\,65}=\rho-\rho_{Si\,35}\)
\(\rho_{Fe\,65}=5.650-1.204=4.446\,gmol^{-1}\)
\(v_{boom}=3.4354*\cfrac{4.446*10^{3}}{26}=587.45\,ms^{-1}\)
\(T_{boom}=587.45^2*\cfrac{55.845*10^{-3}}{3*8.3144}=772.64\,K\) or \(499.49\,^oC\)
as iron molar mass is \(55.854\,gmol^{-1}\).
\(T_{p}=587.45^2*\cfrac{55.845*10^{-3}}{2*8.3144}=1158.96\,K\) or \(885.81\,^oC\)
And we have two empty numbers staring back at you.