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I don't think conductivity has anything to do with microwave
absorption*. Water is a
rather good insulator -- Try heating a pair of glasses, one with
brine, the other
deionized water. I'll be surprised if the temps are more different
than expected due to
variations in the microwave field with position -- you have a
"carousel" oven? Both water
and fats, fatty acids, glycerides, etc. have O-H bonds whose
stretching frequency is close
to that of the oven's magnetron. Amino acids, and, therefore,
proteins, also have OH
bonds (in the carboxylic group), so they heat up too. I would
expect the heating to be
some monotonically increasing function of the density of OH bonds.
I'll ask my
nutritionist friend about the comparative densities in egg yolk and white.
bc