Radiation of wavelength, 280 nm passed through 1.0 mm of a solution that
contained
an aqueous solution of the amino acid tryptophan at a
concentration of 0.50 mmol L-. The light intensity is reduced to 54% of its
initial value. Calculate the absorbance and the molar absorption coefficient
of tryptophan at 280 nm.
What would be the transmittance through a cell of thickness 2.0 mm?
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Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire. In wireless systems, this length is usually specified in meters (m), centimeters (cm) or millimeters (mm).
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Given :
l = 1mm = 1×10⁻¹cm
c = 0.5mmolL⁻¹ = 0.5×10⁻³mol dm⁻³
To find :
a) Absorbance and the molar absorption coefficient of tryptophan at 280 nm.
b) The transmittance through a cell of thickness 2.0 mm
Solution :
a) A = log (I / I₀)
A = log (100 / 54)
A = 0.2676
A = εcl
0.2676 = ε × 0.5 × 10⁻³ × 1 × 10⁻¹
ε = 5352 dm³ mol⁻¹ cm⁻¹
b) l = 2mm = 2 × 10⁻¹cm
log (1 / T) = εcl
log (1 / T) = 5352 × 0.5 × 10⁻³ × 2 × 10⁻¹
T = 0.2916
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