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    Determine concentrations in mixture using determinants

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    Please see attachment.
    A solvent called "mixed xylenes" contains the o-xylene, m-xylene, p-xylene and ethyl
    benzene. In the table below, the absorbances of each of the pure components and the
    absorbance of a sample of "mixed xylenes" were measured at four different wavelengths.
    All measurements used the same cell and, therefore, the same pathlength. What is the
    concentration of each compound? (Use the determinant function in EXCEL).

    For the pure compounds, where A = bX, assume X = 1

    values of (molar absorptivity)b
    Wavelength(m) p-xylene m-xylene o-xylene ethylbenzene unknown
    12.5 1.5020 0.0514 0.000 0.0408 0.1013
    13.0 0.0261 1.1516 0.000 0.0820 0.09943
    13.4 0.0342 0.0355 2.532 0.2933 0.2194
    14.3 0.0340 0.0684 0.000 0.3470 0.03396

    © BrainMass Inc. brainmass.com February 24, 2021, 2:17 pm ad1c9bdddf
    https://brainmass.com/chemistry/stoichiometry/determine-concentrations-mixture-determinants-11548

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    A solvent called "mixed xylenes" contains the o-xylene, m-xylene, p-xylene and ethyl
    benzene. In the table below, the absorbances of each of the pure components and the
    absorbance of a sample of "mixed xylenes" were measured at four different wavelengths.
    All measurements used the same cell and, therefore, the same pathlength. What is the
    concentration of ...

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    The solution is given in the attachment as a step-by-step equation process and with a table.

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