Five ml of a colored solution has an absorbance of 0.500. The absorbance of 10ml of the same colored solution will be:
- A- 1.000
- B- 0.500
- C- 0.250
The correct answer to the absorbance of 10 ml of the same colored solution is A. 1.000.
Here's the explanation:
Absorbance is a measure of how much light a solution absorbs. It follows the Beer-Lambert Law, which states that the absorbance of a solution is directly proportional to its concentration and path length. Mathematically, it can be expressed as:
Absorbance (A) = ε * c * l
where:
- ε is the molar extinction coefficient, a constant specific to the colored molecule and the wavelength of light used.
- c is the concentration of the colored molecule in the solution (in mol/L).
- l is the path length of the light through the solution (usually in cm).
In this case, we are given the absorbance (0.500) and the path length (5 ml, assuming it is the same cuvette used for both measurements). We are asked for the absorbance of the same solution in a different volume (10 ml). Since the concentration of the colored molecule remains the same (we are diluting the solution with the same solvent), and the path length is assumed to be the same, the only factor changing is the volume (l).
Therefore, we can rewrite the Beer-Lambert Law for the new volume:
A_new = ε * c * l_new
Substituting the known values:
A_new = 0.500 * (c) * (10 ml)
Since the concentration (c) remains unchanged, the new absorbance (A_new) will simply be double the original absorbance (0.500 * 2 = 1.000).
Therefore, the absorbance of 10 ml of the same colored solution will be 1.000.
