High School

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------------------------------------------------ A calibration curve gives a slope of 35.9 M⁻¹. If the path length equals 1.8 cm, calculate the molar absorptivity (\varepsilon) M⁻¹ cm⁻¹. Round your answer to 1 decimal place.

Answer :

Final answer:

To calculate the molar absorptivity of 35.9 M¹ with a path length of 1.8 cm, divide the slope by the path length to get 19.9 M¹ cm¹.

Explanation:

The student has asked how to calculate the molar absorptivity (ɛ) given a slope of the calibration curve (35.9 M¹) and a path length of 1.8 cm. To find the molar absorptivity, which has units of M¹ cm¹, you'll need to adjust the given slope by the path length. Since the calibration curve slope is given as ɛb, where b is the path length (Beer-Lambert law), molar absorptivity can be calculated by dividing the slope by the path length. In this case, ɛ = 35.9 M¹ / 1.8 cm, which yields a molar absorptivity (ɛ) of 19.9 M¹ cm¹.

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