Chemistry

Problem

A calibration curve for a pharmaceutical dye yields a slope of

(1.37 \pm 0.04)\times10^{2}\;\text{L mol}^{-1}

and an intercept of

0.002 \pm 0.003

. The absorbance of an unknown solution is measured as

0.287 \pm 0.005

. Calculate the concentration of the unknown in mol L

^{-1}

and report the propagated absolute uncertainty (use appropriate significant figures).