Wednesday, October 25, 2017

Ice, Water And Steam

These are density \((kgm^{-3})\) values for water at different temperature \(^oC\),

+100    958.4
+80     971.8
+60     983.2
+40     992.2
+30     995.6502
+25     997.0479
+22     997.7735
+20     998.2071
+15     999.1026
+10     999.7026
  +4     999.9720
    0     999.8395
−10     998.117
−20     993.547
−30     983.854

Steam has a density of \(0.6\,kgm^{-3}\) and ice has a density of \(916.7\,kgm^{-3}\).  What shall we do?

Between ice of density \(916.7\,kgm^{-3}\), water at \(0^oC\) of density \( 999.8395\,kgm^{-3}\), and water at \(100^oC\) of density \( 958.4\,kgm^{-3}\) increasing temperature will hit \(v_{boom\,ice}\) of ice first then with increasing temperature as density drops, \(v_{boom\,100}\) of water at \(100^oC\).

\(v_{boom\,ice}=3.4354*\cfrac{916.7}{10}=314.9\,ms^{-1}\)

\(v_{boom\,100}=3.4354*\cfrac{958.4}{10}=329.25\,ms^{-1}\)

\(329.25\,ms^{-1}\) is very close to the sonic boom, \(v_{boom\,100}\) is the reason why the spout of the kettle made to taper, whistles when water boils.  A narrowed opening increases \(v_{boom\,100}\) to a sonic boom.  Of all the particles involved the most likely candidates responsible for the whistle are \(g^{+}\) and \(g^{-}\), because steam escaping from the spout of a boiling kettle is not at sonic boom speed, but the disintegrated particles are.

Latent heat is nuclear.  Latent heat is due to resonance at \(v_{boom}\).  Latent heat is not reversible.

Logic takes a second place when you guess.  Courage takes first place.