Final answer:
When the concentration of a colored solution is doubled, the absorbance also doubles according to Beer-Lambert law. Hence, the absorbance of a 0.20M solution at 500nm would be 0.52A.
Step-by-step explanation:
To determine the measured absorbance of a 0.20M solution at 500nm, we can use Beer-Lambert Law which states that absorbance is directly proportional to concentration.
First, we can calculate the molar absorptivity (ɛ) using the absorbance of the 0.10M solution, given as 0.26A at 500nm.
Next, we can use the molar absorptivity to calculate the absorbance of the 0.20M solution at 500nm. Since the concentration doubles to 0.20M, the absorbance will also double. Therefore, the measured absorbance of the 0.20M solution at 500nm will be 0.52A.
If a 0.10M solution of a colored substance has an absorbance (A) of 0.26 at 500 nm, to determine the absorbance of a 0.20M solution at the same wavelength, you can use Beer-Lambert law which states that absorbance is directly proportional to the concentration, when the path length and the molar absorptivity (ε) are constant. In a given path length (usually 1 cm in standard cuvettes), if the concentration of the solution is doubled, the absorbance will also double, provided the molar absorptivity remains the same. Thus, the measured absorbance of the 0.20M solution at 500 nm would be 0.52 (which is double the original absorbance of 0.26), assuming the path length remains unchanged and the system follows Beer-Lambert law.