The IR (infrared) spectra of two pure compounds (0.020 M compound A in solvent,

Question

The IR (infrared) spectra of two pure compounds (0.020 M compound A in solvent,  and 0.020 M compound B in solvent) are shown to the right The path length of the cell is 1.00 cm. Note that the y axis in the spectra is transmittance rather than absorption, so that the wavenumbers at which there is a dip in the curve correspond to absorption peaks. A mixture of A and B in unknown concentrations gave a percent transmittance of 48.1% at 2976 cm^-1 and 40.7% at 3030 cm^-1. What are the concentrations of A and B in the unknown sample?

Explanation / Answer

formulas :

1) A = E b C

2) A = -log T

molar extinction coefficient

equation:

0.3904 = 23 A + 1.6 B -----------------> (1)

0.3178 = 6 A + 19 B ------------------(2)

A = 0.016 M ---------------------> answer

B = 0.012 M ---------------------> answer

wave number 0.020 A 0.020 B unknown 3030 A = 0.456 A = 0.0315 0.3904 2976 A = 0.119 A = 0.377 0.3178

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