High School

A calibration curve gives a slope of 35.9 M⁻¹. If the path length equals 1.8 cm, calculate the molar absorptivity (\(\varepsilon\)) in M⁻¹ cm⁻¹.

Answer :

Final answer:

The molar absorptivity (\(\epsilon\)) is calculated by dividing the slope of the calibration curve by the path length. For a slope of 35.9 M^-1 and a path length of 1.8 cm, the molar absorptivity is 19.9444 M^-1cm^-1.

Explanation:

To calculate the molar absorptivity (\(\epsilon\)), we can use the slope of the calibration curve and the known path length. According to Beer-Lambert Law, the slope is equal to the product of the molar absorptivity and the path length (\(\epsilon b\)). Therefore, molar absorptivity can be found by dividing the slope by the path length. Given the slope of 35.9 M-1 and a path length of 1.8 cm, the molar absorptivity would be calculated as follows:

Molar absorptivity (\(\epsilon\)) = slope / path length

\(\epsilon\) = 35.9 M-1 / 1.8 cm

\(\epsilon\) = 19.9444 M-1cm-1