Calculating the Equilibrium Constant

AP Chemistry· difficulty 2/5

A student determines K for Fe^3+ + SCN- <-> FeSCN^2+ by spectrophotometry at 447 nm. A standard curve made with [SCN-] in large excess gives epsilon = 4630 M^-1 cm^-1 (1.00 cm path). In the equilibrium trial, the student mixes equal volumes to give initial [Fe^3+] = 2.00e-3 M and initial [SCN-] = 2.00e-3 M (after dilution). The measured equilibrium absorbance is A = 1.85.

Absorbance wavelength (nm) 447 nm

What is the equilibrium concentration of FeSCN^2+?

  • A

    2.3e-7 M

  • B

    1.0e-3 M

  • C

    1.85e-3 M

  • D

    4.0e-4 M

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Explanation

[FeSCN^2+] = A / (epsilon * b) = 1.85 / (4630 * 1.00) = 4.0e-4 M.

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