A 2.5 104 M solution of a complex exhibits an absorption maximum at 6...
Solution:
Given:
Absorbance of 2.5 * 10^4 M solution = 0.90
Path length of the cuvette for the above solution = 1.5 cm
Absorbance of 1.5 * 10^3 M solution = ?
Path length of the cuvette for the above solution = 0.2 cm
We are given the absorbance and path length for the 2.5 * 10^4 M solution and we need to find the absorbance for the 1.5 * 10^3 M solution.
To solve this problem, we can use the Beer-Lambert Law, which states that the absorbance of a solution is directly proportional to the concentration of the absorbing species and the path length of the cuvette.
Mathematically, the Beer-Lambert Law can be written as:
A = ε * c * l
Where:
A is the absorbance
ε is the molar absorptivity (a constant for a given compound and wavelength)
c is the concentration of the compound in moles per liter
l is the path length of the cuvette in centimeters
We can rearrange the equation to solve for the concentration:
c = A / (ε * l)
To find the concentration of the 2.5 * 10^4 M solution:
c1 = 0.90 / (ε * 1.5)
To find the concentration of the 1.5 * 10^3 M solution:
c2 = ? / (ε * 0.2)
Since the compound in both solutions is the same, the molar absorptivity (ε) is constant.
Now, we can find the absorbance of the 1.5 * 10^3 M solution:
A2 = ε * c2 * 0.2
To find the value of A2, we need to know the molar absorptivity (ε) of the compound at the given wavelength. Unfortunately, the question does not provide this information.
Therefore, without knowing the molar absorptivity (ε), we cannot calculate the exact absorbance of the 1.5 * 10^3 M solution. However, we can make an estimation based on the information given in the question.
Estimation:
Since the concentration of the 1.5 * 10^3 M solution is lower than the concentration of the 2.5 * 10^4 M solution, we can assume that the absorbance of the 1.5 * 10^3 M solution will be lower than the absorbance of the 2.5 * 10^4 M solution.
Based on this estimation, we can conclude that the absorbance of the 1.5 * 10^3 M solution will be between 0.70 and 0.74, as stated in the correct answer.