The concentration of a metal complex was determined by the Beer-Lambert Law A=c\times ϵ\times l
with the following values:
c = 0.428 mol/L
A = 68.48 \pm 0.84 (no units) (given as 95% confidence interval; k = 2)
\epsi = 160\pm 15 M-1cm-1 (given as 95% confidence interval; k = 2)
l = 1.0000 \pm 0.0010 cm (uniform distribution, a = 0.0010)
First, Calculate the relative uncertainty of each value:
Parameter? Relative Error
A
0.0061
\epsi
0.047
l
5.8E-4
Using the relative uncertainties above, calculate the expanded uncertainty (U) in the concentration of the metal complex: