Respuesta :
Answer: The absorbance for a solution is 0.0028
Explanation:
To calculate the absorption of a solution, the equation by Beer-Lambert law is used:
[tex]A=\varepsilon \times b\times C[/tex]
OR
[tex]A=\varepsilon \times b\times \frac{\text{Given mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (mL)}}[/tex]
where,
A = absorbance = ?
[tex]\varepsilon[/tex] = molar absorptivity = [/tex]15000m^2mol^{-1}L[/tex]
b = path length = 1 cm = 0.01 m (Conversion factor: 1 m = 100 cm)
Given mass of [tex]\beta-[/tex] carotene = 0.1 mg = 0.0001 g (Conversion factor: 1 g = 1000 mg)
Molar mass of [tex]\beta-[/tex] carotene = 536 g/mol
Volume of solution = 10 mL
Putting values in equation 1:
[tex]A=15000\times 0.01\times \frac{0.0001\times 1000}{536\times 10}\\\\A=0.0028[/tex]
Hence, the absorbance for a solution is 0.0028
