8. A method is proposed to measure the equilibrium constant for the formation of a hydrogen bond between methanol and diethyl ether as given by the equation below: (= hydrogen bond) CH3OH+CH3CH2OCH2CH3=CH3OHO(CH2CH3)2 The method is based on the fact that in the infra-red region of the spectrum, a "free" (i.e, non hydrogen bonded) O-H group absorbs energy at 2745nm, while the hydrogen bonded OH group shows maximum energy absorption at 2850nm, and zero absorbance at 2745nm. (Both measured in CCl4, which is transparent in this spectral region). a) Assuming that the solutions are dilute enough so that the only hydrogen bonded species is the 1:1 complex shown above, and assuming Beer's law to hold, calculate K ( at 20C) for the above equilibrium given the following experimental results: At 20C, a solution originally 0.206M in diethyl ether and 0.0119M solution in methanol showed an absorbance oat 2745nm (due solely to the "free" OH ) of 0.627 when measured in a .0cm cell. The molar absorptivity of the free OH group at the wavelength was previously determined to be 67 liter cm1mole1