Which is true for spectroscopy of a mixture?

a. the absorbance for a mixture at a particular wavelength is the sum of the absorbances for the components that absorb at the particular wavelength.
b. spectrophotometers can differentiate between mixture components that absorb at the same wavelength.
c. each component in a mixture has the same molar absorptivity at the same wavelength.
d. the concentration for each component in the mixture is easily calculated with a set of simultaneous equations if there is significant overlap of individual spectra.
e. the concentration for each component in a mixture is easily calculated by least squares for guesses of each component when the individual spectra are well resolved.

Newton's law of cooling states that the rate of change in the temperature t(t) of a body is proportional to the difference between the temperature of the medium m(t) and the temperature of the body. that is, startfraction dt over dt endfraction equals upper k left bracket upper m left parenthesis t right parenthesis minus upper t left parenthesis t right parenthesis right bracket , where k is a constant. let kequals0.04 left parenthesis min right parenthesis superscript negative 1 and the temperature of the medium be constant, m(t) font size decreased by 3 equivalent font size decreased by 3 294 kelvins. if the body is initially at 369 kelvins, use euler's method with hequals0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.