Monday, January 8, 2018

Tungsten Stronger

Consider Tungsten Carbide, \(WC\),  \(Z=74+6\), density \(15.6\,gcm^{-3}\), molar mass  \(195.85\,gmol^{-1}\)

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

\(v_{boom}=3.4354*\cfrac{15.6*10^{3}}{74+6}=669.90\,ms^{-1}\)

and,

\(T_{boom}=v^2_{rms}*\cfrac{Molar\,mass}{3*8.3144}\)

\(T_{boom}=669.90^2*\cfrac{195.85*10^{-3}}{3*8.3144}=3523.67\,K=3250.52\,^oC\)

also,

\(T_{p}=v^2_{rms}*\cfrac{Molar\,mass}{2*8.3144}\)

\(T_{p}=669.90^2*\cfrac{195.85*10^{-3}}{2*8.3144}=5285.51\,K=5012.35\,^oC\)

which is a very high temperature, but might just anneal tungsten doped with carbon to even greater strength.

Unfortunately, Osmium Carbide, \(OsC \) does not occur naturally.