A visible light spectrophotometric determination of penicillin makes use of color-forming reaction of the penicillin. If...

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A visible light spectrophotometric determination of penicillinmakes use of color-forming reaction of the penicillin. If thiscompound absorbs at 475 nm with an Îµ = 1560M^-1cm^-1, what would be calculated as thelimit of detection with an instrument, using a 1.00 cm cuvette,with its smallest absorbance measurement at 0.005?

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Ans. Beer-Lambertâ€™s Law, A =e C LÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â - equation 1,Â Â Â Â Â Â Â Â Â Â Â Â Â Â where,

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â A = Absorbance

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â e = molar absorptivity at specified wavelength

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â L = path length (in cm)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â C = Molar concentration of the solute

Given,

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â e = 1560 M^-1cm^-1

Â Â Â Â Â Â Â Â Â Â Â L = 1.0 cm

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â A = 0.005Â Â Â Â Â Â Â Â Â Â Â Â Â - smallest absorbance, limiting detection

Putting the values in equation 1

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0.005 = 1560 M^-1cm^-1 x C x 1.0 cm

Â Â Â Â Â Â Â Â Â Â Â Or, C = (0.005) / (1560 M^-1) = 3.20 x 10^-6 M

That the as small as 3.20 x 10^-6 M concentation of penicillin can be detected using the specified VIS-spectrophotometer.

Thus, detection limit = 3.20 x 10^-6 M = 3.20 x 10^-6 moles /L Â Â

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A visible light spectrophotometric determination of penicillin makes use of color-forming reaction of the penicillin. If...

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