1. The following mixture of hydrocarbons is obtained as one stream in a petroleum refinery.
1. Obtain the final temperature (within 1K accuracy) when 5 mol/s of water are added to 5 mol/s of
pure ethanol in an adiabatic continuous flow process. Both input streams are saturated liquids at
380K; the output stream is also a saturated l
Legendre Transforms for Dummies
Carl E. Mungan
U.S. Naval Academy, Annapolis, MD
AAPT Summer Meeting
29 July 2014
Legendre transforms appear in two places in a standard undergraduate physics curr
1. Show that for mixing of ideal gases at constant temperature and pressure to
DmixU = Dmix H = DmixV = 0 and
mix G = mix A = RT x i lnx i .
2. There are several possible expressions that can be used for the Gibb
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