using the measured value of the extinction coefficient for CV ( extinction coefficient = 87,000 M−1 cm−1 ) calculate the [CV] for and abs of 0.9562
(CV stands for Crystal Violet)
To calculate the concentration ([CV]) of Crystal Violet corresponding to an absorbance (Abs) value of 0.9562 using the measured value of the extinction coefficient (ɛ) for CV (which is 87,000 M⁻¹ cm⁻¹), you can use the Beer-Lambert Law equation:
Abs = ɛ * [CV] * l
Where:
- Abs is the measured absorbance (0.9562 in this case),
- ɛ is the extinction coefficient (87,000 M⁻¹ cm⁻¹),
- [CV] is the concentration of Crystal Violet (what we want to calculate), and
- l is the path length of the sample (typically in cm).
To solve for [CV], we rearrange the equation:
[CV] = Abs / (ɛ * l)
Since you provided the extinction coefficient and absorbance values, we need to assume a value for the path length (l). Common path lengths are often 1 cm or 1 mm, but since you didn't specify, let's assume a path length of 1 cm.
Now we can substitute the given values into the equation:
[CV] = 0.9562 / (87,000 M⁻¹ cm⁻¹ * 1 cm)
Simplifying the equation:
[CV] = 0.9562 / 87,000 M⁻¹
Calculating the result:
[CV] ≈ 1.098 * 10⁻⁵ M (moles per liter)
Therefore, the concentration of Crystal Violet corresponding to an absorbance of 0.9562 with an extinction coefficient of 87,000 M⁻¹ cm⁻¹ is approximately 1.098 * 10⁻⁵ M.