Student measured the absorbance of the substance x depending on its concentration in solution. she used 0.2 cm cuvette. her calibration curve is a straight line with the slope 2.3·103 m-1. the extinction coefficient of substance x in this solution is:

The extinction coefficient is 1.15 x 10⁴ M⁻¹.cm⁻¹ (value is not rounded off)

Explanation:

According to Lambert-Beer law

Here, A is absorbance, ε is extinction coefficient, b is the length of the cuvette and C is the molar concentration of substance X.

This equation is used for the relation between concentration and absorbance of electromagnetic radiation absorbing species. It is a linear equation and can be used for making a calibration curve, which is used for the analysis of an unknown concentration solution. The slope of this curve according to the equation is the product of extinction coefficient (M⁻¹.cm⁻¹) and the length of the cuvette in cm.

In this problem, the slope is provided, which can be mathematically represented as:

(not rounded off)

(rounded off)

it's all four options.